JP4880087B2 - Panel floor structure and building structure - Google Patents

Description

The present invention relates to a panel floor structure applied to a floor of a building structure and a building structure. In particular, the present invention relates to a panel floor structure suitable for improving sound insulation and a building structure including the panel floor structure.
This application claims priority based on Japanese Patent Application No. 2010-005543 filed in Japan on January 14, 2010 and Japanese Patent Application No. 2010-116664 filed on May 20, 2010 in Japan. , The contents of which are incorporated herein.

  As one of the floor structures, a panel floor composed of steel upper and lower materials arranged in parallel with a space between each other, and a steel core material arranged between the upper and lower materials A structure has been proposed. Since this panel floor structure is lighter than the conventional floor structure using concrete, it can reduce the horizontal external force at the time of an earthquake, and can reduce the number of structural members such as columns, beams, piles, and foundations. . As a result, it is possible to reduce the weight of the entire building and reduce the cost, and there is an advantage that a rational and economical structural design becomes possible.

  Here, regarding the floor structure in the building, it is particularly required to have excellent sound insulation against heavy floor impact sound. (For example, refer to Patent Document 1 and Patent Document 2).

  In Patent Document 1, an anti-skid material that holds an intermediate portion in the length direction of a beam member that supports a panel member and fixes the beam member is installed. An architectural vibration control structure is disclosed in which a dynamic damper set to have a natural frequency within a range of 44 to 88 Hz is installed at the antinode of the beam member vibration mode after the steady rest material is installed. This shortens the distance between the nodes when the beam member vibrates, thereby reducing the vibration amplitude of the beam member and the panel member. And the response is reduced by the vibration of the opposite phase, and the sound insulation is improved.

  Moreover, in patent document 2, the damper which reduces the vibration of an upper floor part by vibrating in an antiphase with respect to the vibration of an upper floor part is provided in an upper floor part. Furthermore, a vibration control structure for building is disclosed in which the natural frequency of the lower floor ceiling provided below the upper floor is set to a value different from the natural frequency of the damper. As a result, the disclosed technology of Patent Document 2 suppresses the vibration of the specific frequency of the upper floor by the damper, and further, the effect of exciting the vibration in the lower floor due to the vibration of the upper floor is effective. Therefore, the sound insulation against vibrations in the band of 44.5 Hz to 89.1 Hz is improved.

JP 2007-126940 A JP 2007-211141 A

By the way, the technique currently disclosed by patent document 1 is suppressing the vibration of panel members, such as a floor and a ceiling, effectively by providing a steadying material. In addition, the technique disclosed in Patent Document 2 includes a damper to prevent or reduce the generation of sound in the lower floor ceiling due to vibration generated in the upper floor.
However, the configuration including the steady rest material and the damper is costly and complicated because the arrangement must be taken into consideration. Furthermore, the entire mass is increased by the amount of the anti-rest material and the damper.

  The present invention has been made to solve the above-described problems, and is a panel floor structure and building structure capable of improving the sound insulation against heavy floor impact sound while reducing the weight with a simple configuration. The purpose is to provide goods.

(1) The panel floor structure according to one aspect of the present invention includes at least a top member and a bottom member arranged substantially in parallel with each other at a predetermined interval, and connecting the top member and the bottom member to form a space. A panel floor structure comprising a pair of steel core members, wherein the upper surface material and the lower surface material have length and width dimensions, the predetermined interval, the core material length and width dimensions, and a plate. At least one of the thickness and the arrangement interval between the cores is adjusted to satisfy the following (A) and (B).
(A) The primary natural frequency of the entire vibration system constituted by the upper surface material, the lower surface material, and the core material is 15 Hz to 45 Hz.
(B) The primary natural frequency of the partial vibration system of each of the upper surface material, the lower surface material, or the core material is 707 Hz to 20000 Hz.

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記横架材の延長方向に平行な鉛直断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記横架材の延長方向に平行な鉛直断面の断面積（ｍｍ^２）
ｌ_１ ： 前記幅方向、あるいは、前記長さ方向における前記横架材の配置間隔（ｍｍ）(2) In the panel floor structure according to the above (1), the whole vibration system has isotropicity satisfying the following mathematical formula (1); the width direction of the whole vibration system or orthogonal to the width direction A horizontal member that extends along two edges of the lower surface material and is spaced apart in the longitudinal direction to support the lower surface material, and fixes the lower surface material and the horizontal material. It is preferable that the first natural frequency f _{1 of the} whole vibration system satisfies the following formula (2).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a vertical cross section parallel to the extending direction of the horizontal member
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member (mm ² )
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
ν_１ ： 前記全体振動系のポワソン比
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記全体振動系の前記長さ方向に直交する断面の断面積（ｍｍ^２）
ｌ_１ ： 前記長さ方向における前記横架材の配置間隔（ｍｍ）
ｌ_２ ： 前記幅方向における前記横架材の配置間隔（ｍｍ）(3) In the panel floor structure according to the above (1), the entire vibration system has isotropicity satisfying the following mathematical formula (3); the width direction and the length direction of the entire vibration system are spaced apart A horizontal member that opens and extends along the four edges of the lower surface material and supports the lower surface material; and a fixing member that fixes the lower surface material and the horizontal material; wherein the primary natural frequency f ₂ of the whole vibration system, it is preferable to satisfy the following formula (4).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the length direction of the entire vibration system
ν ₁ : Poisson's ratio of the whole vibration system ρ ₁ : density of the whole vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section orthogonal to the length direction of the entire vibration system
l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記全体振動系の前記幅方向に直交する断面の断面積（ｍｍ^２）
ｌ_１ ： 前記幅方向、あるいは、前記長さ方向における前記横架材の配置間隔（ｍｍ）(4) In the panel floor structure according to (1), the entire vibration system has anisotropy satisfying the following mathematical formula (5); the lower surface is spaced apart in the length direction of the entire vibration system. A horizontal member that extends along two edges of the material and supports the lower surface material; and a fixing member that fixes the lower surface material and the horizontal material; primary natural frequency f ₃ preferably satisfies the following formula (6).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the width direction of the entire vibration system
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section perpendicular to the width direction of the entire vibration system
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）

ｌ_１ ： 前記長さ方向における前記横架材の配置間隔（ｍｍ）
ｌ_２ ： 前記幅方向における前記横架材の配置間隔（ｍｍ）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
ν_１ ： 前記全体振動系のポワソン比
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｓｘ ： 前記全体振動系の前記幅方向に直交する断面の断面積（ｍｍ^２）
Ｓｙ ： 前記全体振動系の前記長さ方向に直交する断面の断面積（ｍｍ^２）(5) In the panel floor structure described in (1) above, the overall vibration system has anisotropy that satisfies the following mathematical formula (7); the width direction and the length direction of the overall vibration system are spaced apart from each other. A horizontal member that opens and extends along the four edges of the lower surface material and supports the lower surface material; and a fixing member that fixes the lower surface material and the horizontal material; It is preferable that the primary natural frequency f _{4 of the} whole vibration system satisfies the following mathematical formula (8).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system

l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction
ρ ₁ : density of the entire vibration system (kg / m ³ )
ν ₁ : Poisson's ratio of the whole vibration system E ₁ : Young's modulus (N / mm ² ) of the whole vibration system
Sx: Cross-sectional area (mm ² ) of a cross section orthogonal to the width direction of the entire vibration system
Sy: sectional area (mm ² ) of a cross section perpendicular to the length direction of the entire vibration system

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記横架材の延長方向に平行な鉛直断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記横架材の延長方向に平行な鉛直断面の断面積（ｍｍ^２）
ｌ_１ ： 前記幅方向、あるいは、前記長さ方向における前記横架材の配置間隔（ｍｍ）(6) In the panel floor structure according to the above (1), the entire vibration system has an isotropic property that satisfies the following mathematical formula (9); A horizontal member that extends along two edges of the lower surface material and is spaced apart in the longitudinal direction to support the lower surface material, and at least the lower surface of the upper surface material and the lower surface material A fixing member that fixes a material to the horizontal member; and, when only the lower surface material is fixed to the horizontal member, further includes another fixing member that fixes the upper surface material and the other member; It is preferable that the primary natural frequency f _{5 of the} entire vibration system satisfies the following formula (10).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a vertical cross section parallel to the extending direction of the horizontal member
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member (mm ² )
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
ν_１ ： 前記全体振動系のポワソン比
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記横架材の長さ方向に直交する断面の断面積（ｍｍ^２）
ｌ_１ ： 前記長さ方向における前記横架材の配置間隔（ｍｍ）
ｌ_２ ： 前記幅方向における前記横架材の配置間隔（ｍｍ）(7) In the panel floor structure according to the above (1), the entire vibration system has an isotropic property that satisfies the following mathematical formula (11); intervals are provided in the width direction and the length direction of the entire vibration system. A horizontal member that extends along four edges of the lower surface material and supports the lower surface material, and at least the lower surface material of the upper surface material and the lower surface material is used as the horizontal material. A fixing member for fixing; when only the lower surface member is fixed to the horizontal member, the fixing member further includes another fixing member for fixing the upper surface member and the other member; frequency _{f 6} preferably satisfies the following formula (12).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the length direction of the entire vibration system
ν ₁ : Poisson's ratio of the whole vibration system
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section orthogonal to the length direction of the horizontal member
l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記全体振動系の前記幅方向に直交する鉛直断面の断面積（ｍｍ^２）
ｌ_１ ： 前記幅方向、あるいは、前記長さ方向の前記横架材の配置間隔（ｍｍ）(8) In the panel floor structure described in (1) above, the overall vibration system has anisotropy satisfying the following mathematical formula (13); the width direction of the whole vibration system, or orthogonal to the width direction A horizontal member that extends along two edges of the lower surface material and is spaced apart in the longitudinal direction to support the lower surface material, and at least the lower surface of the upper surface material and the lower surface material A fixing member that fixes a material to the horizontal member; and, when only the lower surface material is fixed to the horizontal member, further includes another fixing member that fixes the upper surface material and the other member; the primary natural frequency f ₇ of the whole vibration system, it is preferable to satisfy the following expression (14).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the width direction of the entire vibration system
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : sectional area (mm ² ) of a vertical section perpendicular to the width direction of the whole vibration system
l ₁ : Arrangement interval (mm) of the horizontal members in the width direction or the length direction

ただし、
Ｅｘ ： 前記全体振動系の前記幅方向のヤング係数
Ｅｙ ： 前記全体振動系の前記長さ方向のヤング係数
Ｉｘ ： 前記全体振動系の前記幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： 前記全体振動系の前記長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）

ｌ_１ ： 前記長さ方向における前記横架材の配置間隔（ｍｍ）
ｌ_２ ： 前記幅方向における前記横架材の配置間隔（ｍｍ）
ρ_１ ： 前記全体振動系の密度（ｋｇ／ｍ^３）
ν_１ ： 前記全体振動系のポワソン比
Ｅ_１ ： 前記全体振動系のヤング係数（Ｎ／ｍｍ^２）
Ｓｘ ： 前記全体振動系の前記幅方向に直交する断面の断面積（ｍｍ^２）
Ｓｙ ： 前記全体振動系の前記長さ方向に直交する断面の断面積（ｍｍ^２）(9) In the panel floor structure according to (1), the entire vibration system has anisotropy that satisfies the following mathematical formula (15); the width direction and the length direction of the entire vibration system are spaced apart from each other. A horizontal member that extends along four edges of the lower surface material and supports the lower surface material, and at least the lower surface material of the upper surface material and the lower surface material is used as the horizontal material. A fixing member for fixing; when only the lower surface member is fixed to the horizontal member, the fixing member further includes another fixing member for fixing the upper surface member and the other member; frequency _{f 8} preferably satisfies the following expression (16).

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system

l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction
ρ ₁ : density of the entire vibration system (kg / m ³ )
ν ₁ : Poisson's ratio of the whole vibration system E ₁ : Young's modulus (N / mm ² ) of the whole vibration system
Sx: Cross-sectional area (mm ² ) of a cross section orthogonal to the width direction of the entire vibration system
Sy: sectional area (mm ² ) of a cross section perpendicular to the length direction of the entire vibration system

ただし、
Ｅ_４ ： 前記上面材または前記下面材のヤング係数（Ｎ／ｍｍ^２）
ｔ_４ ： 前記上面材または前記下面材の厚み（ｍｍ）
ρ_４ ： 前記上面材または前記下面材の密度（ｋｇ／ｍ^３）
ν_４ ： 前記上面材または前記下面材のポワソン比
ａ_４ ： 前記上面材または前記下面材の前記長さ方向の長さ（ｍｍ）
ｂ_４ ： 前記芯材間の配置間隔（ｍｍ）(10) In the panel floor structure according to any one of (1) to (9), the first upper surface material and the core material are fixed to a contact portion between the core material and the upper surface material. A core material fixing member; and a second core material fixing member for fixing the lower surface material and the core material to a contact portion between the core material and the lower surface material; and 1 of the upper surface material and the lower surface material It is preferable that the next natural frequency f ₉ satisfies the following formula (17).

However,
E ₄ : Young's modulus (N / mm ² ) of the upper surface material or the lower surface material
t ₄ : thickness (mm) of the upper surface material or the lower surface material
ρ ₄ : density of the upper surface material or the lower surface material (kg / m ³ )
ν ₄ : Poisson's ratio of the upper surface material or the lower surface material a ₄ : Length in the length direction of the upper surface material or the lower surface material (mm)
b _4: arrangement interval between the core (mm)

ただし、
Ｅ_４ ： 前記上面材または前記下面材のヤング係数（Ｎ／ｍｍ^２）
ｔ_４ ： 前記上面材または前記下面材の厚み（ｍｍ）
ρ_４ ： 前記上面材または前記下面材の密度（ｋｇ／ｍ^３）
ν_４ ： 前記上面材または前記下面材のポワソン比
ａ_４ ： 前記上面材または前記下面材の前記長さ方向の長さ（ｍｍ）
ｂ_４ ： 前記芯材間の配置間隔（ｍｍ）(11) In the panel floor structure according to any one of (1) to (9) above, a plurality of top surface materials and a plurality of core materials that fix the top material to the contact portion between the core material and the top material. A fixing member; and a plurality of fixing members for fixing the lower surface material and the core material to a contact portion between the core material and the lower surface material; and a primary natural frequency of the upper surface material and the lower surface material. it is preferred that f ₁₀ satisfies the following equation (18).

However,
E ₄ : Young's modulus (N / mm ² ) of the upper surface material or the lower surface material
t ₄ : thickness (mm) of the upper surface material or the lower surface material
ρ ₄ : density of the upper surface material or the lower surface material (kg / m ³ )
ν ₄ : Poisson's ratio of the upper surface material or the lower surface material a ₄ : Length in the length direction of the upper surface material or the lower surface material (mm)
b _4: arrangement interval between the core (mm)

ただし、
Ｅ_５ ： 前記芯材のヤング係数（Ｎ／ｍｍ^２）
ｔ_５ ： 前記芯材の板厚方向の厚み（ｍｍ）
ρ_５ ： 前記芯材の密度（ｋｇ／ｍ^３）
ν_５ ： 前記芯材のポワソン比
ａ_５ ： 前記芯材の前記長さ方向の長さ（ｍｍ）
ｂ_５ ： 前記所定間隔（ｍｍ）(12) In the panel floor structure of any one of the above (1) - (9), the primary natural frequency f ₁₁ of the core material preferably satisfies the following equation (19).

However,
E ₅ : Young's modulus of the core material (N / mm ² )
t ₅ : thickness of the core material in the plate thickness direction (mm)
ρ ₅ : density of the core material (kg / m ³ )
ν ₅ : Poisson's ratio of the core material a ₅ : length of the core material in the length direction (mm)
b ₅ : the predetermined interval (mm)

ただし、
Ｅ_５ ： 前記芯材のヤング係数（Ｎ／ｍｍ^２）
ｔ_５ ： 前記芯材の板厚方向の厚み（ｍｍ）
ρ_５ ： 前記芯材の密度（ｋｇ／ｍ^３）
ν_５ ： 前記芯材のポワソン比
ａ_５ ： 前記芯材の前記長さ方向の長さ（ｍｍ）
ｂ_５ ： 前記所定間隔（ｍｍ）(13) In the panel floor structure according to the above (11), the primary natural frequency _{f 12} of the core material preferably satisfies the following formula (20).

However,
E ₅ : Young's modulus of the core material (N / mm ² )
t ₅ : thickness of the core material in the plate thickness direction (mm)
ρ ₅ : density of the core material (kg / m ³ )
ν ₅ : Poisson's ratio of the core material a ₅ : length of the core material in the length direction (mm)
b ₅ : the predetermined interval (mm)

(14) In the panel floor structure described in (1) above, along the two end sides of the bottom surface with a gap in the width direction of the entire vibration system or in the length direction perpendicular to the width direction. A horizontal member that extends and is arranged to support the lower surface material, and a fixing member that fixes the lower surface material and the horizontal material; satisfying the following formulas (21) to (23): preferable.
EI _f ≧ 0.65 × EI _all (21)
M _w ≧ 0.40 × M _all (22)
M _w ≧ EIw / (k × l ⁴ ) (k = 719) (23)
However,
M _w : Mass of the core material (kg / m ² )
EI _f : bending rigidity (N · m ² ) of the upper surface material and the lower surface material
EI _w : bending rigidity of the core material (N · m ² )
M _all : Total mass of the upper surface material, the lower surface material and the core material (kg / m ² )
EI _all : Flexural rigidity (N · m ² ) of the upper surface material, the lower surface material and the core material
l: Arrangement interval (m) of the horizontal members in the width direction or the length direction

(15) In the panel floor structure according to (1), the core member has an upper flat surface portion that makes contact with the upper surface member in a plane, a lower flat portion that makes contact with the lower surface member in a plane, the upper surface material, and It is preferable that it has an inclined part inclined with respect to the lower surface material, and the upper flat part, the inclined part, and the lower flat part are continuously formed in this order.

(16) In the panel floor structure described in (1) above, it is preferable that a sound absorbing material is filled in the space.

(17) The panel floor structure according to an aspect of the present invention includes at least a top member and a bottom member disposed substantially parallel to each other at a predetermined interval, and connecting the top member and the bottom member to form a space. A panel floor structure provided with a pair of steel cores, wherein the space includes a sound absorbing material filled therein; length dimensions, width dimensions, plate thicknesses of the upper surface material and the lower surface material, At least one of the predetermined interval, the length dimension of the core material, the plate thickness, and the arrangement interval between the core materials is adjusted to satisfy the following (A).
(A) The primary natural frequency of the entire vibration system constituted by the upper surface material, the lower surface material, and the core material is 15 Hz to 45 Hz.

(18) In the panel floor structure according to (1) or (17), the web, an upper flange provided at one end of the web and extending in the width direction, and the upper flange provided at the other end of the web And a plurality of panel constituent members extending in the length direction; and the plurality of panel constituent members are configured such that each of the upper flange and the lower flange forms the same plane. A plurality of upper flanges arranged adjacent to each other to form the upper surface material; and a plurality of lower flanges arranged adjacent to each other to form the lower surface material. It is preferable that the web is the core material.

(19) A building structure according to an aspect of the present invention includes the panel floor structure according to (1) or (17).

According to the panel floor structure described in (1) above, the panel floor structure composed of the upper surface material, the lower surface material, and the core material has the primary natural frequency of the whole vibration system and the primary natural vibration of the partial vibration system. With numbers. If these primary natural frequencies are within the evaluation range of heavy floor impact sound (over 45 Hz and below 707 Hz), the sound insulation performance decreases. Therefore, in this panel floor structure, the length dimension and width dimension of the upper surface material and the lower surface material, the predetermined interval, the length dimension and width dimension and plate thickness of the core material, and the arrangement interval between the core materials, At least one is adjusted so as to satisfy (A) and (B). Thereby, the primary natural frequency of the whole vibration system and the primary natural frequency of the partial vibration system are out of the evaluation range of the heavy floor impact sound. Therefore, since the panel floor structure according to the present invention does not employ a special configuration such as a damper, it is possible to improve the sound insulation against the heavy floor impact sound while reducing the weight with an inexpensive configuration. In particular, the panel floor structure according to the present invention exhibits the effect of improving the sound insulation of the panel floor structure while exhibiting the effect of exhibiting excellent rigidity and light weight by the panel structure composed of simple face materials. ing.
The primary natural frequency of the whole vibration system here is determined based on the above-described mathematical expression expressed from the dimensions, physical property values, cross-sectional characteristic values, etc. of each vibration system.

According to the panel floor structure described in the above (2) to (9), a mathematical formula corresponding to the property of the panel, the support position of the horizontal member, and the fixing method by the fixing member is used. And the length dimension and width dimension of the upper surface material and the lower surface material, the predetermined interval, the length dimension and width of the core material so that the primary natural frequencies f _{1 to} f _{8 of} the entire vibration system are 15 Hz to 45 Hz. At least one of the dimension and the plate thickness, and the arrangement interval between the core members is adjusted. Thereby, the panel floor structure excellent in the sound-insulating property with respect to a heavy floor impact sound can be provided more effectively.

According to the panel floor structure described in the above (10) to (13), a mathematical formula corresponding to the property of the panel, the support position of the horizontal member, and the fixing method by the fixing member is used. And the length dimension and the width dimension of the upper surface material and the lower surface material, the predetermined interval, the length dimension and the width of the core material so that the primary natural frequencies f _{9 to} f _{12 of} the partial vibration system are 707 Hz to 20000 Hz. At least one of the dimension and the plate thickness, and the arrangement interval between the core members is adjusted. Thereby, the panel floor structure excellent in the sound-insulating property with respect to a heavy floor impact sound can be provided more effectively.

According to the panel floor structure described in (14) above, the conventional panel floor structure has the same mass M _{all as} that of the entire conventional panel floor structure, and the overall bending rigidity EI _all is greatly reduced. It is possible to obtain a sound insulation property equivalent to or better than the above. Furthermore, the thickness of the panel floor structure can be reduced. Further, in realizing the present invention, it is possible to suppress an excessive increase in the mass M _{all with} respect to the minimum mass necessary for setting the primary natural frequency f to 45 Hz or more. As a result, it is possible to obtain an excellent effect regarding sound insulation while reducing the weight as much as possible.
In this panel floor structure, since the sound insulation can be improved without excessively increasing the weight, it is possible to provide a panel floor structure that is lightweight and excellent in the sound insulation. In this way, the number of structural members such as columns, beams, piles, and foundations can be reduced by reducing the weight of the panel floor structure. Thereby, weight reduction and cost reduction of the whole building can be achieved, and a rational and economical structural design can be performed. Further, by reducing the panel floor structure, the height of the building can be reduced, and the amount of interior materials and exterior materials used can be reduced.

  According to the panel floor structure described in (15) above, the core member is formed such that the upper surface flat portion, the inclined portion, and the lower flat portion are successively formed in this order. Accordingly, when the space between the upper surface material and the lower surface material is divided at a predetermined interval, the space can be divided by, for example, bending one plate material without using a plurality of core materials. Thereby, the panel floor structure excellent in sound-insulating property can be provided with a simple configuration.

  According to the panel floor structure described in (16) above, it is possible to more effectively improve the sound insulation by providing the sound absorbing material in the space.

It is a perspective view shown about the state before arranging the panel floor structure concerning a 1st embodiment of the present invention in a horizontal member. It is a side view which shows the state after arrange | positioning the panel floor structure to a horizontal member. It is a perspective view of the panel floor structure. It is front sectional drawing of the panel floor structure. It is a perspective view of the house to which the panel floor structure is applied. It is a perspective view at the time of applying the panel floor structure to a steel structure office building. It is a graph shown about the test result of the heavy floor impact sound test of the panel floor structure of the past and this invention, a horizontal axis is a frequency and a vertical axis is a sound pressure level. It is a graph shown about the test result of the heavy floor impact sound test of the panel floor structure which concerns on 1st Embodiment of this invention, A horizontal axis is a frequency and a vertical axis | shaft is a sound pressure level. It is the model figure which modeled the panel floor structure. It is the model figure which modeled the panel floor structure. It is the model figure which modeled the panel floor structure. It is a perspective view shown about the state before arrange | positioning the panel floor structure to a horizontal member by 4 side support. It is a side view which shows the state after arrange | positioning the panel floor structure. It is a front view which shows the state after arrange | positioning the panel floor structure. It is a side view for demonstrating the boundary conditions of a whole vibration system. It is a side view for demonstrating the other boundary conditions of a whole vibration system. It is a side view for demonstrating the other boundary conditions of a whole vibration system. It is a front sectional view for explaining boundary conditions of a partial vibration system of a panel floor structure concerning a 1st embodiment. It is a front sectional view for explaining other boundary conditions of a partial vibration system of a panel floor structure concerning a 1st embodiment. It is a typical perspective view for demonstrating the cross section which should be considered when determining the primary natural frequency of a whole vibration system. It is a typical perspective view for demonstrating the cross section which should be considered when determining the primary natural frequency of a whole vibration system. It is a typical perspective view for demonstrating the cross section which should be considered when determining the primary natural frequency of a whole vibration system. It is a typical perspective view for demonstrating the cross section which should be considered when determining the primary natural frequency of a whole vibration system. It is a perspective view of the panel floor structure of 2nd Embodiment. It is front sectional drawing of the panel floor structure. It is the model figure which modeled the panel floor structure. It is the model figure which modeled the panel floor structure. It is the model figure which modeled the panel floor structure. It is front sectional drawing for demonstrating the boundary condition of the partial vibration system of the panel floor structure. It is a front sectional view for explaining other boundary conditions of the partial vibration system of the panel floor structure. It is a perspective view of the panel floor structure concerning a 3rd embodiment. It is a front view of the panel structure. It is front sectional drawing of the panel floor structure. It is a partially cutaway perspective view of the panel floor structure concerning a 4th embodiment. It is sectional drawing of the panel floor structure. It is a graph shown about the test result of a heavy floor impact sound test, a horizontal axis is frequency and a vertical axis is a sound pressure level. It is a perspective view which shows the structure of the panel floor structure concerning a prior art. It is front sectional drawing of the panel floor structure. It is a figure for demonstrating the relationship between the mass of the whole panel floor structure, bending rigidity, the mass of an upper surface material, etc., and bending rigidity. It is a perspective view shown about the state before arranging the panel floor structure of a 5th embodiment on a plurality of horizontal members. It is sectional drawing of the panel floor structure. It is a perspective view which shows the structure of the panel floor structure of 5th Embodiment. It is front sectional drawing of the panel floor structure. It is a perspective view which shows the structure of the panel floor structure of 6th Embodiment. It is front sectional drawing of the panel floor structure. It is a perspective view which shows the structure of the panel floor structure concerning 7th Embodiment. It is a side view which shows the structure of the panel structural member which comprises the panel floor structure. It is front sectional drawing of the panel floor structure. It is a partially notched perspective view which shows the structure of the panel floor structure concerning 8th Embodiment. It is front sectional drawing of the panel floor structure. It is a figure which shows the result of a heavy floor impact sound test.

  Hereinafter, as one embodiment for carrying out the present invention, a panel floor structure applied to a floor of a building structure will be described in detail with reference to the drawings.

  First, a first embodiment of a panel floor structure to which the present invention is applied will be described.

FIG. 1A is a perspective view showing a state before the panel floor structure 1 of the first embodiment is arranged on a plurality of horizontal members 71. FIG. FIG. 1B is a side view showing a state after the arrangement. Moreover, FIG. 2A is a perspective view of the panel floor structure 1 of 1st Embodiment, FIG. 2B is the front sectional drawing. FIG. 3A shows a diagram when the panel floor structure 1 of the present embodiment is applied to the floor of a house (building structure). The panel floor structure 1 of the present embodiment is used on the first floor and the second floor of this house.
FIG. 3B is a perspective view when the panel floor structure 1 of the present embodiment is applied to, for example, a five-story steel structure office building. The panel floor structure 1 of the present embodiment is used for the floor of each floor of this steel structure.

  As shown in FIG. 1A, the panel floor structure 1 according to the present embodiment is a panel that can be disposed on the underfloor structure 7 constituted by a plurality of horizontal members 71 that are disposed substantially in parallel at intervals in one direction. It is structured as a body. The horizontal member 71 is a framework that is extended and bridged in the horizontal direction in the building structure. In the underfloor structure 7 constituted by such a horizontal member 71, a floor material such as the panel floor structure 1 is disposed thereon. In addition to this, as shown in FIG. 6A, the underfloor structure 7 intersects with a plurality of horizontal members 71 arranged substantially in parallel with an interval in one direction, and the plurality of horizontal members 71. There is a case where a plurality of horizontal members 71 arranged at intervals in a direction orthogonal to one direction are assembled in a grid shape. That is, it is a four-sided support structure. The panel floor structure 1 is used by being fixed to each horizontal member 71 by, for example, a fixing bracket 81 such as a screw or a bolt, but the fixing means for the horizontal member 71 is particularly limited as long as it is known. Not what you want.

  The horizontal member 71 of the underfloor structure 7 is composed of a rod-shaped member such as a square steel and an H-shaped steel used as a framework of a building structure, and is applied to a steel building structure such as an office building or an apartment house, for example. Large beams and small beams are applied when done. In addition, when applied to a wooden building such as a detached house or a steel house, an overdraw, joist, a field edge, a field edge holder, or the like is applied. Further, the horizontal member 71 may be configured as a rod-shaped member that is disposed on a surface member disposed substantially parallel to the vertical surface. Moreover, the horizontal member 71 may be comprised by the upper end part of the said face material.

  As shown in FIGS. 2A and 2B, the panel floor structure 1 according to the present embodiment includes an upper surface material 11 and a lower surface material 13 that are arranged substantially parallel to each other at a predetermined interval, and the upper surface material 11 and the lower surface material 12. And at least a pair of steel core members 15 that are connected to form a hollow space (space) 19. The core material 15 has upper and lower ends connected to the upper surface material 11 and the lower surface material 13, thereby partitioning the hollow space 19 between the upper surface material 11 and the lower surface material 13 in the width direction X. It is divided into hollow spaces 19. In the first embodiment, the core material 15 partitions the plurality of hollow spaces 19 in the width direction X.

  The upper surface material 11 plays a role as a so-called floor base plate, and a decorative plywood or the like may be attached to the surface of the upper surface material 11. The lower surface material 13 plays a role as a so-called ceiling plate, but it is needless to say that another material having the function of the ceiling plate may be provided in the lower space of the lower surface material 13. The upper surface material 11 and the lower surface material 13 are made of a steel plate material having predetermined dimensions as described later.

  As shown in FIG. 2A, the core material 15 is composed of a steel plate, a shape steel, or the like having a shape extended in the length direction (depth direction) Y of the panel floor structure 1. In the first embodiment, the core material 15 includes a plurality of core materials 15. It is comprised from the channel steel. The core material 15 made of the channel steel includes a web 31 and an upper flange 33 and a lower flange 35 that are bent in a substantially orthogonal direction from the upper end and the lower end of the web 31. The core material 15 is made up of fixing brackets (fixing members) 84, 85 such as screws and rivets in a state where the upper flange 33 and the lower flange 35 of the upper and lower ends thereof are in contact with the upper surface material 11 and the lower surface material 13. Fixed and connected by welding. In the first embodiment, the upper flange 33 and the lower flange 35 of one core member 15 are fixed to the upper surface material 11 and the lower surface material 13 by fixing brackets 84 and 85 at a plurality of positions spaced in the length direction Y. Has been. Specifically, the upper flange 33 and the lower flange 35 are fixed and connected to the upper surface material 11 and the lower surface material 13 by one fixing bracket 84 and 85 at one place.

  As shown in FIG. 2A, the core material 15 in the first embodiment is arranged in a plural number at intervals in the width direction X of the panel floor structure 1. As a result, a plurality of hollow spaces 19 surrounded by the upper surface material 11, the lower surface material 13 and the core material 15 are provided in the width direction X of the panel floor structure 1.

  Moreover, the panel floor structure 1 in 1st Embodiment is attached with the end plate 16 which consists of board | plate materials so that the opening of the both sides of a length direction may be block | closed, as shown to FIG. 1A. The end plate 16 is connected to the upper surface material 11 and the lower surface material 13 by fixing metal fittings such as welding and screws. In the panel floor structure 1 in the first embodiment, the upper surface material 11 and the lower surface material 13 are connected to the end plate 16 by welding. The end plate 16 is not an essential component in the present embodiment.

  The panel floor structure 1 in 1st Embodiment is supported by the horizontal member 71, as shown to FIG. 1A. The horizontal member 71 is formed on the two end sides 13 a and 13 b of the lower surface member 13 with an interval in the length direction (Y) of the entire vibration system 21 constituted by the upper surface material 11, the lower surface material 13 and the core material 15. It is arranged extending along. The end sides 13 c and 13 d in the width direction (X) of the lower surface member 13 are not supported by the horizontal member 71. That is, the panel floor structure 1 is a two-side support structure. Further, in the panel floor structure 1 in the first embodiment, as shown in FIG. 1B, only the lower surface member 13 is fixed to the horizontal member 71 by a fixing bracket 81 such as a screw.

  The core material 15 in 1st Embodiment is comprised from the shape steel which has various cross-sectional shapes, such as I-shape steel, a lip groove shape steel, an angle steel, a box-shape steel, and a flat steel plate other than a groove shape steel. It may be.

In the present embodiment, the length dimension and width dimension of the upper surface material 11 and the lower surface material 13, the interval (predetermined interval) between the upper surface material 11 and the lower surface material 13, the length dimension and width dimension and plate thickness of the core material 15, Is adjusted so that at least one of the arrangement intervals between the cores 15 satisfies the following (A) and (B).
(A) The primary natural frequency of the entire vibration system 21 constituted by the upper surface material 11, the lower surface material 13, and the core material 15 is 15 Hz or more and 45 Hz or less.
(B) The primary natural frequency of each of the partial vibration systems 22 of the upper surface material 11, the lower surface material 13, or the core material 15 is 707 Hz or more and 20000 Hz or less.

Here, the length dimension l ₁ , the width dimension l ₂ , the plate thickness t _{4 of} the upper surface material 11 and the lower surface material 13 shown in FIG. 1B, FIG. 2A and FIG. ) The case where b ₅ , the length dimension a ₅ of the core material 15, the plate thickness t ₅ , and the arrangement interval b ₄ between the core materials 15 are not adjusted as in the prior art will be described. In the case of this configuration, as shown in FIG. 4A, two peaks occur in a range exceeding 45 Hz which is an evaluation range of heavy floor impact sound of the panel floor structure in the building structure and less than 707 Hz. Since these peaks are peaks whose sound pressure level is higher than the sound insulation grade evaluation curve, a panel floor structure with reduced sound insulation is obtained. The peak on the low frequency side is generated by the entire vibration system (upper surface material, lower surface material and core material), and the peak on the high frequency side is generated by the partial vibration system (upper surface material, lower surface material or core material). .
Therefore, in the present embodiment, the natural frequency of the entire vibration system is outside the evaluation range of the heavy floor impact sound as indicated by an arrow Q1 in FIG. 4B, and the natural vibration of the partial vibration system is indicated as indicated by an arrow Q2. The dimension of each member was adjusted so that the number was out of the evaluation range of the heavy floor impact sound.

  Next, the dimensions of the upper surface material 11, the lower surface material 13, and the core material 15 of the panel floor structure 1 that are important in the present embodiment will be described. In the present embodiment, the dimensions of the upper surface material 11, the lower surface material 13, and the core material 15 are adjusted based on the following concept.

  FIG. 5A shows a model diagram obtained by modeling the panel floor structure 1 according to the first embodiment. In this model diagram, an upper surface material 11 and a lower surface material 13 are connected by a plurality of core materials 15 such as channel steel at connecting portions 17 indicated by white circles in the drawing.

  When a person walks on the panel floor structure 1 or an object falls on the panel floor structure 1, the entire and part of the panel floor structure 1 vibrates in the thickness direction. The vibration is transmitted to the lower floor side of the panel floor structure 1 via air.

Here, examples of the vibration source that causes the generation of the vibration of the panel floor structure 1 include the entire vibration system 21 and the partial vibration system 22. The overall vibration system 21 is a thin plate-like structure constituted by the entire panel floor structure 1 as shown in FIG. The partial vibration system 22 is composed of an upper surface material 11, a lower surface material 13, or a core material 15 that are part of the panel floor structure 1 as shown in FIGS. 5B and 5C. A connecting portion 17 between the lower surface member 13 and the core member 15 includes a first partial vibration system 23 and a second partial vibration system 25 having a thin plate structure supported at both ends thereof. The first partial vibration system 23 is configured by the upper surface material 11 or the lower surface material 13, and the second partial vibration system 25 is configured by the core material 15.
The panel structure 10 includes an upper surface material 11, a lower surface material 13, and a core material 15.

Each of these vibration systems vibrates at a frequency corresponding to each natural frequency. Here, in this embodiment, the dimensions of each vibration system are adjusted so that the primary natural frequency of each vibration system determined based on a predetermined formula falls within a predetermined range. Specifically, the dimensions of the whole vibration system 21 are determined based on the following formulas (2), (4), (6), (8), (10), (12), (14), and (16). The primary natural frequencies f _{1 to} f ₈ are adjusted so as to be 15 Hz or more and 45 Hz or less, and the dimensions of the first partial vibration system 23 and the second partial vibration system 25 are the following expressions (17) to (17): The primary natural frequencies f _{9 to} f ₁₂ determined based on (20) are adjusted to be 707 Hz or higher. That is, the dimensions of the whole vibration system 21 are adjusted so that the primary natural frequency determined based on the predetermined formula is 15 Hz or more and 45 Hz or less, and the dimensions of the first partial vibration system 23 and the second partial vibration system 25 are adjusted. Is adjusted so that the primary natural frequency determined based on the predetermined formula is 707 Hz or more and 20000 Hz or less.

The reason why the primary natural frequency is set to 15 Hz or more is to avoid unpleasant vibration perceived as unpleasant for human beings if it is less than 15 Hz. Moreover, since the frequency of 20000 Hz or more is a limit frequency perceived by humans, the upper limit value is set to 20000 Hz or less. Since the frequency can be suppressed by installing a finishing material such as a carpet, the upper limit may be 8000 Hz or less.
The reason why the primary natural frequency is 45 Hz or less or 707 Hz or more is as follows. First, the range of frequencies exceeding 45 Hz and less than 707 Hz is the evaluation range of the heavy floor impact sound. If the frequency is within this range, unpleasant vibration perceived as unpleasant for humans is generated. This is to avoid this. Secondly, for frequencies in the range of 707 Hz or higher, performance can be improved relatively easily by installing a finishing material such as carpet.

  The evaluation range of the heavy floor impact sound exists in the range from the lower limit value of the frequency band where the center frequency is 63 Hz to the upper limit value of the frequency band where the center frequency is 500 Hz. The lower limit value of the frequency band where the center frequency is 63 Hz is also the upper limit value of the frequency band where the center frequency which is one lower frequency band is 31.5 Hz, and is calculated by 31.5 Hz × √2. Further, the upper limit value of the frequency band where the center frequency is 500 Hz is calculated by 500 Hz × √2. Based on these, the primary natural frequency of each vibration system is not included in a frequency in the range of more than 45 Hz and less than 707 Hz.

  Of the natural frequencies of each vibration system, the secondary and subsequent natural frequencies have smaller amplitudes than the primary natural frequencies, and the antinodes of adjacent vibration modes vibrate in opposite phases, resulting in acoustic radiation efficiency. Is considered low. For this reason, in this embodiment, each dimension is adjusted in consideration of only the primary natural frequency of each vibration system.

  Next, mathematical formulas used for dimension adjustment of each vibration system in the present embodiment will be described.

  The natural frequency of bending vibration of a plate-like continuum such as each vibration system is the property of each vibration system such as thickness, physical properties such as Young's modulus and density, and cross-section characteristic values such as cross-sectional second moment. (2), (4), (6), (8), (10), (12), (14), (16) to (20). Among these mathematical formulas, the mathematical formulas (2) to (16) are mathematical formulas for obtaining the primary natural frequency of the whole vibration system 21, boundary conditions regarding the four sides at the peripheral edge of the whole vibration system 21, and their widths. Use properly according to the deformation characteristics in the direction and length. Equations (17) to (20) are equations for obtaining the primary natural frequencies of the partial vibration systems 23 and 25, and are used properly according to the boundary conditions regarding the four sides of the peripheral ends of the partial vibration systems 23 and 25. .

  As for the whole vibration system 21 here, with respect to the four sides at the peripheral edge of the whole vibration system 21, only two opposite sides are supported by the horizontal member 71, or all four sides are supported by the horizontal member 71. Depending on whether it is supported by the equation, the mathematical expression of the primary natural frequency used is different. That is, FIG. 1A shows an example in which only two opposite sides of the four sides at the peripheral edge of the panel structure 10 as the entire vibration system 21 are supported by the horizontal member 71. On the other hand, FIG. 6A shows an example in which all four sides of the four sides at the peripheral edge of the panel structure 10 as the entire vibration system 21 are supported by the horizontal member 71.

  The total vibration system 21 is further classified and used depending on whether the support condition by the horizontal member 71 on the four sides of the peripheral end of the total vibration system 21 is pin support or fixed support. The mathematical expression of the primary natural frequency is different. As shown in FIG. 7A, the pin support is such that only the lower surface member 13 of the panel structure 10 is connected to the horizontal member 71 by a fixing bracket 81 such as a bolt. In the case of pin support, the panel structure 10 is allowed to rotate to some extent at the connecting portion 17.

  The fixed support includes a fixing member that fixes both the upper surface material 11 and the lower surface material 13 to the horizontal member 71. Specifically, for example, as shown in FIG. 7B, the panel structure 10 is connected to the horizontal member 71 by a fixing bracket (fixing member) 80 such as a bolt that penetrates the upper surface material 11 and the lower surface material 13. Thus, the rotation of the panel structure 10 is restricted at the connecting portion 17. As another example in the case of fixed support, for example, an example as shown in FIG. 7C can be given. Only the lower surface member 13 is fixed to the horizontal member 71 and includes another fixing member that fixes the upper surface member 11 and another member. In this example, after a plurality of panel structures 10 are continuously arranged in the length direction Y, only the lower surface member 13 of each panel structure 10 is connected to the horizontal member 71 by a fixing bracket 81. Furthermore, the plate-like member 83 straddling the adjacent upper surface materials (other members) 11 of the panel structures 10 adjacent to each other is brought into contact with each other, and the upper surface material 11 and the plate-like member 83 are fixed to the fixing bracket (other fixing member). ) 82 to connect. Thereby, rotation of the panel structure 10 is restrained in the connection part 17.

  The whole vibration system 21 is classified according to whether the deformation characteristics in the width direction X and the length direction Y are anisotropic or isotropic. The anisotropy here is different in the deformation characteristics in the width direction X and the length direction Y, which are two orthogonal directions in the plane of the panel structure 10, and isotropic is the width direction X and the length. The deformation characteristics in the vertical direction Y are the same. Specifically, the panel structure 10 having an isotropic property is that, in the width direction X and the length direction Y, the Young's modulus in each direction is Ex, Ey, and the cross-sectional secondary moment is Ix, Iy. Ex · Ix = Ey · Iy (1) (the above formulas (3), (9), and (11) are also the same) is satisfied, and the panel structure 10 having anisotropy Is the case where Ex · Ix ≠ Ey · Iy (5) (the above formulas (7), (13), and (15) are also the same) is satisfied.

The partial vibration systems 23 and 25 are classified according to whether the support conditions by other members such as the upper surface material 11 on the four sides of the peripheral edge are pin support or fixed support, and are used for the primary inherent. The frequency formula is different. As shown in FIG. 8A, the pin support includes a fixing bracket (first core material fixing member) 84 for fixing the upper surface material 11 and the core material 15 to the contact portion 17 between the core material 15 and the upper surface material 11, and the core material. A fixing bracket (second core material fixing member) 85 that fixes the lower surface material 13 and the core material 15 is provided at a contact portion 17 between the lower surface material 13 and the lower surface material 13. That is, one core member 15 is connected to the upper surface member 11 and the lower surface member 13 by one fixing bracket 84 and 85 at one place. In the case of pin support, rotation of the upper surface material 11, the lower surface material 13, and the core material 15 is allowed to some extent at the connection portion 17.
As shown in FIG. 8B, the fixed support includes a plurality of fixing brackets 84 at the contact portion 17 between the core material 15 and the upper surface material 11, and a plurality of fixing brackets 85 at the contact portion 17 between the core material 15 and the lower surface material 13. It has. That is, one core member 15 is connected to the upper surface member 11 and the lower surface member 13 by two or more fixing brackets 84 and 85 at one place. In the case of fixed support, rotation of the upper surface material 11, the lower surface material 13, and the core material 15 is restrained at the connection portion 17.

Ｅ_１ ： パネル構造体（全体振動系）１０のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： 横架材７１の延長方向に平行な鉛直断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： パネル構造体（全体振動系）１０の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 横架材７１の延長方向に平行な鉛直断面の断面積（ｍｍ^２）
ｌ_１ ： 幅方向、あるいは、長さ方向における横架材７１の配置間隔（ｍｍ）
本実施形態では、ｌ_１は、図１Ｂに示すように、長さ方向に配置された横架材７１の配置間隔である。When the panel structure 10 as the entire vibration system 21 is isotropic and only two opposite sides of the four sides of the peripheral edge are pin-supported with respect to the horizontal member 71, the entire The primary natural frequency f ₁ of the vibration system 21 satisfies the following formula (2).

E ₁ : Young's modulus (N / mm ² ) of panel structure (whole vibration system) 10
I ₁ : Secondary moment of inertia (mm ⁴ ) in a vertical cross section parallel to the extending direction of the horizontal member 71
ρ ₁ : density of panel structure (whole vibration system) 10 (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member 71 (mm ² )
l ₁ : Arrangement interval (mm) of the horizontal member 71 in the width direction or the length direction
In the present embodiment, l ₁ is an arrangement interval of the horizontal members 71 arranged in the length direction as shown in FIG. 1B.

Ｅ_１ ： パネル構造体（全体振動系）１０のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： パネル構造体（全体振動系）１０の長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
ν_１ ： パネル構造体（全体振動系）１０のポワソン比
ρ_１ ： パネル構造体（全体振動系）１０の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 横架材７１の延長方向に平行な鉛直断面の断面積（ｍｍ^２）
ｌ_１ ： 長さ方向における前記横架材の配置間隔（ｍｍ）
ｌ_２ ： 幅方向における前記横架材の配置間隔（ｍｍ）When the panel structure 10 as the entire vibration system 21 is isotropic, and all four sides of the peripheral end thereof are pin-supported with respect to the horizontal member 71, the entire vibration system 21 the primary natural frequency _{f 2} satisfies the equation (4) below.

E ₁ : Young's modulus (N / mm ² ) of panel structure (whole vibration system) 10
I ₁ : Sectional moment of inertia (mm ⁴ ) in a section perpendicular to the length direction of the panel structure (overall vibration system) 10
ν ₁ : Poisson's ratio of panel structure (whole vibration system) 10 ρ ₁ : density of panel structure (whole vibration system) 10 (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member 71 (mm ² )
l ₁ : Arrangement interval of the horizontal members in the length direction (mm)
l ₂ : Arrangement interval (mm) of the horizontal members in the width direction

Ｅ_１ ： パネル構造体（全体振動系）１０のヤング係数（Ｎ／ｍｍ^２）
Ｉ_１ ： パネル構造体（全体振動系）１０の幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
ρ_１ ： パネル構造体（全体振動系）１０の密度（ｋｇ／ｍ^３）
Ｓ_１ ： 前記全体振動系の前記幅方向に直交する断面の断面積（ｍｍ^２）
ｌ_１ ： 幅方向、あるいは、長さ方向における横架材７１の配置間隔（ｍｍ）When the panel structure 10 as the entire vibration system 21 has anisotropy, and only two opposite sides of the four sides of the peripheral edge are pin-supported with respect to the horizontal member 71, the whole The primary natural frequency f ₃ of the vibration system 21 satisfies the following formula (6).

E ₁ : Young's modulus (N / mm ² ) of panel structure (whole vibration system) 10
I ₁ : Sectional moment of inertia (mm ⁴ ) in a section perpendicular to the width direction of panel structure (whole vibration system) 10
ρ ₁ : density of panel structure (whole vibration system) 10 (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section perpendicular to the width direction of the entire vibration system
l ₁ : Arrangement interval (mm) of the horizontal member 71 in the width direction or the length direction

ｌ_１ ： 長さ方向における横架材７１の配置間隔（ｍｍ）
ｌ_２ ： 幅方向における横架材７１の配置間隔（ｍｍ）
ρ_１ ： パネル構造体（全体振動系）１０の密度（ｋｇ／ｍ^３）
ν_１ ： パネル構造体（全体振動系）１０のポワソン比
Ｅ_１ ： パネル構造体（全体振動系）１０のヤング係数（Ｎ／ｍｍ^２）
Ｉｘ ： パネル構造体（全体振動系）１０の幅方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｉｙ ： パネル構造体（全体振動系）１０の長さ方向に直交する断面における断面２次モーメント（ｍｍ^４）
Ｓｘ ： パネル構造体（全体振動系）１０の幅方向に直交する断面の断面積（ｍｍ^２）
Ｓｙ ： パネル構造体（全体振動系）１０の長さ方向に直交する断面の断面積（ｍｍ^２）When the panel structure 10 as the whole vibration system 21 has anisotropy and all the four sides of the peripheral end are pin-supported with respect to the horizontal member 71, the whole vibration system 21 the primary natural frequency _{f 4} satisfies the formula (8) below.

l ₁ : Arrangement interval of the horizontal members 71 in the length direction (mm)
l ₂ : arrangement interval (mm) of the horizontal member 71 in the width direction
ρ ₁ : density of panel structure (whole vibration system) 10 (kg / m ³ )
ν ₁ : Poisson's ratio of panel structure (whole vibration system) 10 E ₁ : Young's modulus (N / mm ² ) of panel structure (whole vibration system) 10
Ix: Sectional second moment (mm ⁴ ) in a section perpendicular to the width direction of the panel structure (whole vibration system) 10
Iy: secondary moment of inertia (mm ⁴ ) in the cross section perpendicular to the length direction of the panel structure (overall vibration system) 10
Sx: cross-sectional area (mm ² ) of the cross section orthogonal to the width direction of the panel structure (whole vibration system) 10
Sy: sectional area (mm ² ) of a cross section orthogonal to the length direction of the panel structure (overall vibration system) 10

When the panel structure 10 as the entire vibration system 21 is isotropic, and only two opposite sides of the four peripheral edges are fixedly supported to the horizontal member 71, the entire structure The primary natural frequency f ₅ of the vibration system 21 satisfies the following formula (10). Note that the contents of E _{1 and the} like in the following mathematical formula (10) are the same as those described in the mathematical formula (2), and thus description thereof will be omitted.

When the panel structure 10 as the whole vibration system 21 is isotropic, and all four sides of the peripheral end thereof are fixedly supported with respect to the horizontal member 71, the whole vibration system 21 the primary natural frequency _{f 6} satisfies the formula (12) below. Note that the contents of E _{1 and the} like in the following mathematical formula (12) are the same as those described in the mathematical formula (4), and thus their contents are omitted.

When the panel structure 10 as the whole vibration system 21 has anisotropy, and only two opposite sides of the four sides of the peripheral end are fixedly supported to the horizontal member 71, the whole The primary natural frequency f ₇ of the vibration system 21 satisfies the following formula (14). Note that the contents of E _{1 and the} like in the following mathematical formula (14) are the same as those described in the mathematical formula (2), and thus the description thereof is omitted.

When the panel structure 10 as the whole vibration system 21 has anisotropy and all four sides of the peripheral end thereof are fixedly supported with respect to the horizontal member 71, the primary natural frequency _{f 8} satisfies the formula (16) below. Note that the contents of D _{l and the} like in the following mathematical formula (16) are the same as those described in the mathematical formula (8), and thus the description thereof is omitted.

Ｅ_４ ： 上面材１１または下面材１３のヤング係数（Ｎ／ｍｍ^２）
ｔ_４ ： 上面材１１または下面材１３の厚み（ｍｍ）
ρ_４ ： 上面材１１または下面材１３の密度（ｋｇ／ｍ^３）
ν_４ ： 上面材１１または下面材１３のポワソン比
ａ_４ ： 上面材１１または下面材１３の長さ方向の長さ（ｍｍ）
ｂ_４ ： 上面材１１または下面材１３の接続部１７間の間隔（芯材１５の配置間隔）（ｍｍ）When four sides of the peripheral edge of a part of the upper surface material 11 and the lower surface material 13 as the first partial vibration system 23 are pin-supported with respect to the other member (core material 15), the first partial vibration system 23 the primary natural frequency _{f 9} satisfies the formula (17) below.

E ₄ : Young's modulus (N / mm ² ) of the upper surface material 11 or the lower surface material 13
t ₄ : thickness (mm) of the upper surface material 11 or the lower surface material 13
ρ ₄ : density of the upper surface material 11 or the lower surface material 13 (kg / m ³ )
ν ₄ : Poisson's ratio of the top surface material 11 or the bottom surface material 13 a ₄ : length in the length direction of the top surface material 11 or the bottom surface material 13 (mm)
b ₄ : Spacing between connecting portions 17 of the upper surface member 11 or the lower surface member 13 (arrangement interval of the core member 15) (mm)

In the case of boundary conditions in which the four sides of the peripheral edges of a part of the upper surface material 11 and the lower surface material 13 as the first partial vibration system 23 are fixedly supported with respect to another member (core material 15), the first partial vibration the primary natural frequency _{f 10} of the system 23 satisfies the following equation (18). Note that the contents of E _{4 and the} like in the following mathematical formula (18) are the same as those described in the mathematical formula (17), and thus the description thereof is omitted.

Ｅ_５ ： 芯材１５のヤング係数（Ｎ／ｍｍ^２）
ｔ_５ ： 芯材１５の板厚方向の厚み（ｍｍ）
ρ_５ ： 芯材１５の密度（ｋｇ／ｍ^３）
ν_５ ： 芯材１５のポワソン比
ａ_５ ： 芯材１５の長さ方向の長さ（ｍｍ）
ｂ_５ ： 芯材１５の接続部１７間の長さ（上面材１１と下面材１３との間隔：所定間隔）（ｍｍ）In the case of a boundary condition in which all or part of the peripheral edge of the core material 15 serving as the second partial vibration system 25 is pin-supported with respect to another member (core material 15), the second partial vibration system 25 is used. Of the first natural frequency f ₁₁ satisfies the following formula (19).

E ₅ : Young's modulus of the core material 15 (N / mm ² )
t ₅ : thickness of the core material 15 in the plate thickness direction (mm)
ρ ₅ : density of the core material 15 (kg / m ³ )
ν ₅ : Poisson's ratio of the core material 15 a ₅ : length of the core material 15 in the length direction (mm)
b ₅ : Length between the connecting portions 17 of the core material 15 (interval between the upper surface material 11 and the lower surface material 13: a predetermined interval) (mm)

When all or part of the peripheral edge of the core material 15 as the second partial vibration system 25 is fixedly supported with respect to another member (the upper surface material 11 or the lower surface material 13), the second portion The primary natural frequency f ₁₂ of the vibration system 25 can be expressed by the following mathematical formula (20). Note that the contents of the E ₅ like in equation (20) below, are the same as described in equation (19), omitted for their description.

In the panel floor structure 1 in the first embodiment, only two opposing sides at both ends in the longitudinal direction Y of the panel structure 10 are pin-supported by the horizontal member 71, and the panel structure 10 has anisotropy. . Therefore, the above formula (6) is used to adjust the dimensions of the panel structure 10 as the entire vibration system 21. Moreover, since the partial vibration systems 23 and 25 comprised from the upper surface material 11, the lower surface material 13, and the core material 15 can be considered that the support conditions by the other member in four sides of the peripheral edge are pin support, Formulas (17) and (19) are used to adjust the dimensions of the upper surface material 11, the lower surface material 13 and the core material 15 as the vibration systems 23 and 25.
The other members described above are the core material 15 in the case of the upper surface material 11, the upper surface material 11 of the adjacent panel structure 10, or the horizontal member 71, and in the case of the lower surface material 13, the core material 15 is adjacent. In the case of the core material 15, the upper surface material 11, the lower surface material 13, the core material 15, or the horizontal material 71 is the lower surface material 13 or the horizontal material 71 of the panel structure 10.

First, the case where the whole vibration system 21 is adjusted will be described.
That is, in order to be in the range equation (6) to 45Hz below primary natural frequency f ₃ of the entire vibration system 21 which is determined 15Hz or higher based, for example, the cross-sectional shape of the panel structure 10 is intact in terms of the, the arrangement interval of the horizontal member 71 of the panel structure 10 (the length between the supporting portion 27) is sized to increase or decrease the l _1. For example, when the primary natural frequency f ₃ determined based on Equation (6) is less than 15 Hz, the length l ₁ between the support portions 27 is shortened. If the primary natural frequency _{f 3} greater than 45 Hz, may be increasing the length _{l 1} between the support 27. In this case, it is possible to increase or decrease only the primary natural frequency of the overall vibration system 21 without substantially affecting the primary natural frequencies f ₉ and f ₁₁ of the first partial vibration system 23 and the second partial vibration system 25. It has the advantage of being able to.

In addition, the thickness t _{4 of the} upper surface material 11 and the lower surface material 13, the thickness t _{5 of} the core material 15, the arrangement interval of the core material 15 (the length between the connecting portions 17) b ₄ , the upper surface material 11 and the lower surface material increasing or decreasing the sectional area S ₁ and the second moment I ₁ of the panel structure 10 by adjusting the distance (predetermined distance) b ₅ to the wood 13. This is the primary natural frequency _{f 3} which is determined based on equation (6) described above may be a 15Hz～45Hz.

Next, a case where the first partial vibration system 23 is adjusted will be described.
The primary natural frequency f ₉ of the first part vibrating system 23 which is determined based on equation (17) to the above 707Hz, for example, the length in the width direction X of the panel structure 10 was directly In addition, the number of the core members 15 is increased to reduce the length b ₄ between the connecting portions 17 of the upper surface material 11 and the lower surface material 13. In this case, only the primary natural frequency f _{9 of} the first partial vibration system 23 is increased without substantially affecting the primary natural frequencies f ₃ and f _{11 of} the overall vibration system 21 and the second partial vibration system 25. Has the advantage of being able to

In addition, for example, the thickness t4 in the plate thickness direction of the upper surface material 11 and the lower surface material 13 is increased while the length in the width direction X of the panel structure 10 is kept as it is. This primary natural frequency f ₉ that is determined based on equation (17) described above may be equal to or greater than 707 Hz.

Next, a case where the second partial vibration system 25 is adjusted will be described.
The primary natural frequency f ₁₁ of the second partial vibration system 25 which is determined based on equation (19) to the above 707Hz, for example, or increasing the plate thickness direction of the thickness t ₅ of the core material 15 The length b ₅ between the connecting portions 17 of the core material 15 is reduced.

The panel floor structure 1 according to the present embodiment configured as described above is a predetermined of both the overall vibration system 21 serving as the vibration source of the panel floor structure 1 and the first partial vibration system 23 and the second partial vibration system 25. A simple configuration is adopted in which the dimensions of each vibration system are adjusted so that the primary natural frequency determined based on the equation falls within the above-described range. That is, the panel floor structure 1 is adjusted to be outside the evaluation range of heavy floor impact sound (range exceeding 45 Hz and less than 707 Hz). As shown in FIG. 4B, this means that the primary natural frequency of each vibration system is changed to arrows Q1 and Q2 simultaneously by adjusting the dimensions of each vibration system. For this reason, the panel floor structure 1 according to the present embodiment can improve the sound insulation against the heavy floor impact sound by an inexpensive configuration without adopting a special configuration such as a damper. In particular, the panel floor structure 1 according to the present embodiment has an effect of improving the sound insulation of the panel floor structure 1 while having the effect of exhibiting excellent rigidity and lightness only by being configured with a face material. Has been demonstrated.
Moreover, since the said house which is a building structure of this embodiment is provided with the said panel floor structure, it can exhibit the outstanding sound insulation.

Further, when calculating the primary natural frequency f _{1 of} each vibration system based on the formula (2), etc., a three-point bending test is performed by experiment or numerical analysis in calculating the cross-sectional secondary moment I _1. The bending moment M and the deflection amount w at the position y in the length direction Y may be calculated based on the following formula (30). Moreover, you may make it evaluate and calculate from the mode analysis result by experiment or numerical analysis.

  When the panel structure 10 is supported on two sides by the horizontal member 71, the panel structure 10 may be supported on the two sides by the horizontal member 71 at both ends in the length direction Y, or in the width direction X. Two sides may be supported by the horizontal member 71 at both ends.

In this case, when the panel structure 10 is isotropic, the cross section to be considered in determining S ₁ and I ₁ in the formulas (2) and (10) is that of the horizontal member 71 with respect to the panel structure 10. It depends on the position. That is, as shown in FIG. 9A, when the panel structure 10 is supported at both ends in the longitudinal direction Y by the horizontal member 71, the cross section to be considered in determining S ₁ and I ₁ is the horizontal member. The vertical cross section P <b> 1 is parallel to the width direction X which is the extending direction of 71. 9B, when the panel structure 10 is supported at both ends in the width direction X by the horizontal member 71, the cross section P to be considered in determining S ₁ and I ₁ is the horizontal member. The vertical cross section P2 is parallel to the length direction Y which is the extending direction of 71.

Further, when the panel structure 10 has anisotropy, the cross section to be taken into account in determining S ₁ and I ₁ in the formulas (6) and (14) is at the position of the horizontal member 71 with respect to the panel structure 10. Does not change accordingly. That is, even when the panel structure 10 is supported at both ends in the length direction Y by the horizontal member 71 as shown in FIG. 9C, both ends in the width direction X are supported by the horizontal member 71 as shown in FIG. 9D. Even when the panel structure 10 is supported, the cross section to be considered in determining S ₁ and I ₁ is the cross section P2 orthogonal to the width direction X. This is because, in the case of the panel structure 10 having anisotropy, the cross-sectional secondary moment in the cross-section P2 orthogonal to the width direction X is greater than the cross-sectional secondary moment in the cross-section P1 orthogonal to the length direction Y. This is because there is a tendency to be small, and the performance of the cross section P2 has a great influence on the sound insulation of the entire vibration system, and needs to be taken into consideration.

  Next, a second embodiment of the panel floor structure to which the present invention is applied will be described. In addition, about the component same as the component mentioned above, the description below is abbreviate | omitted by attaching | subjecting the same code | symbol.

  FIG. 10A is a perspective view of the panel floor structure 1 of the second embodiment, and FIG. 10B is a front sectional view thereof.

  The panel floor structure 1 according to the second embodiment is different from the panel floor structure 1 of the first embodiment in the configuration of the core material. In the panel floor structure 20 according to the second embodiment, the core material 15 is formed of a folded plate.

The core material 15 has an upper flange 43 (upper flat surface portion) that contacts the upper surface material 11 in a plane, a lower flange (lower flat surface portion) 45 that contacts the lower surface material 13 in a plane, and the upper surface material 11 and the lower surface material 13. And an inclined web 41 (inclined portion). Furthermore, the upper flange 43, the web 41, and the lower flange 45 are continuously formed in this order.
Specifically, the core material 15 formed of the folded plate is a web in which an upper flange 43 and a lower flange 45 provided substantially horizontally in the width direction X are inclined with respect to the width direction X. 41 are alternately formed in the width direction X via 41 to form a waveform. An upper flange 43 positioned on the upper end side of the core material 15 formed of a folded plate is brought into contact with the upper surface material 11, and a lower end of the core material 15 formed of a folded plate is contacted with the lower surface material 13. The lower flange 45 located on the side is abutted, and these are fixed and connected by fixing brackets 84 and 85 such as screws and rivets, or welding. Thus, the core material 15 made of a folded plate partitions the upper surface material 11 and the lower surface material 13 into a plurality of hollow spaces 19 in the width direction X.

In the second embodiment, the fixing bracket 84 is provided at a plurality of locations where one upper flange 43 and one lower flange 45 in the core member 15 are spaced apart from each other in the longitudinal direction Y with respect to the upper surface material 11 and the lower surface material 13. , 85. One portion of the upper flange 43 and the lower flange 45 is fixed and connected by one fixing bracket 84 and 85, respectively. Further, both ends in the width direction X of the core member 15 formed of a folded plate are bent with respect to the upper flange 43 or the lower flange 45 so as to form a substantially U shape opened inside the panel floor structure 1. ing.
The angle α formed by the upper flange 43, the lower flange 45 and the web 41 is preferably 45 to 80 degrees.

  FIG. 11A to FIG. 11C show model diagrams obtained by modeling the panel floor structure 1 according to the second embodiment. Also in this model figure, the upper surface material 11 and the lower surface material 13 are connected by the connection part 17 shown with the white circle in a figure by the core material 15 formed with the folded plate.

Examples of the vibration source that causes the vibration of the panel floor structure 1 according to the second embodiment include the entire vibration system 21, the first partial vibration system 23, and the second partial vibration system 25.
The overall vibration system 21 is a thin plate-like structure constituted by the entire panel floor structure 1 as shown in FIG. 11A, in which the upper surface material 11, the lower surface material 13 and the core material 15 vibrate together. The first partial vibration system 23 is configured by an upper surface material 11 and a lower surface material 13 that are part of the panel floor structure 1 as shown in FIG. 11B, and includes the upper surface material 11, the lower surface material 13, and the core material 15. A thin plate-like structure in which both ends of the connection portion 17 are supported. The second partial vibration system 25 is configured by a web 41 of the core material 15 as shown in FIG. 11C and has a thin plate-like structure in which both ends thereof are supported at the connection portion 17.

  The panel floor structure 20 according to the second embodiment also has dimensions of each vibration system such that the primary natural frequency of each vibration system determined based on the above-described predetermined formula falls within the predetermined range as described above. It has been adjusted.

  Here, the panel floor structure 20 according to the second embodiment can be considered to be isotropic. For this reason, the panel floor structure 20 according to the second embodiment has only the two opposite sides at both ends in the length direction Y of the panel structure 10 as the panel structure 10 in the first embodiment. When the dimensions of the panel structure 10 as the whole vibration system 21 are adjusted by the pin, the above formula (2) is used.

  Further, in the case of the cross-sectional shape as in the second embodiment, the support condition by other members such as the upper surface material 11 on the four sides of the peripheral ends of the partial vibration systems 23 and 25 is the pin support, as shown in FIG. One upper flange 43 and one lower flange 45 in the core member 15 are connected to each other by one fixing bracket 84 and 85. In the case of pin support, rotation of the upper surface material 11, the lower surface material 13, and the core material 15 is allowed to some extent at the connection portion 17. As shown in FIG. 12B, the fixed support means that one upper flange 43 and one lower flange 45 in the core member 15 are connected to each other by two or more fixing brackets 84 and 85. In the case of fixed support, rotation of the upper surface material 11, the lower surface material 13, and the core material 15 is restrained at the connection portion 17.

  In the panel floor structure 20 according to the second embodiment, the partial vibration systems 23 and 25 including the upper surface material 11, the lower surface material 13, and the core material 15 are supported by other members on the four sides of the peripheral edge. Can be considered. Therefore, in adjusting the dimensions of the upper surface material 11, the lower surface material 13, and the core material 15 as the partial vibration systems 23 and 25, the mathematical expressions (17) and (17) are performed in the same manner as described in the first embodiment. 19).

  In addition, the core material 15 may be comprised from the corrugated sheet, and also in this case, the effect of the present invention can be obtained by adjusting the dimensions as in the present embodiment.

  Next, a third embodiment of the panel floor structure to which the present invention is applied will be described.

  FIG. 13A is a perspective view of the panel floor structure 30 of the third embodiment, FIG. 13B is a side view showing the configuration of the panel component member 50 constituting the panel floor structure 30, and FIG. 13C is a front sectional view thereof. FIG.

  The panel floor structure 30 according to the third embodiment is configured by combining a plurality of panel constituent members 50 as shown in FIG. 13B. The panel component member 50 includes a web 51, an upper flange 53 provided at one end of the web 51 and extending in the width direction, and a lower flange 55 provided at the other end of the web 51 and extending in the opposite direction to the upper flange 53. , Extending in the length direction. That is, the upper flange 53 and the lower flange 55 extend in a substantially vertical direction with respect to the web 51, and are bent from the upper and lower ends of the web 51 in the direction opposite to the width direction X. Thereby, the cross-sectional shape of the panel structural member 50 is comprised by substantially Z shape. The panel constituent member 50 is configured by bending a steel plate, roll forming, hot press forming, or the like.

  As shown in FIGS. 13A and 13C, the panel component member 50 is arranged with the same orientation state so that substantially the same plane is formed by the upper flange 53 and the lower flange 55. That is, the panel floor structure 30 is arranged adjacent to each other in the width direction so that each of the upper flange 53 and the lower flange 54 forms the same plane, and the plurality of upper flanges 53 arranged adjacent to each other are arranged in the first embodiment. A plurality of lower flanges 55 arranged adjacent to each other form the lower surface material 13 shown in the first embodiment, and the web 51 is the core material 15. Thus, the panel floor structure 30 according to the third embodiment is configured. The front end portion 53a of the upper flange 53 in the panel component member 50 is fixed to the proximal end portion 53b of the upper flange 53 in another adjacent panel component member 50 by welding, mechanical joining, or the like. Furthermore, the front-end | tip part 55a of the lower flange 55 in the panel structural member 50 is fixed to the base end part 55b of the lower flange 55 in the adjacent other panel structural member 50 by welding, mechanical joining, etc. Thus, adjacent panel constituent members 50 are fixed to each other.

  In the panel structure 30 constituted by the plurality of panel constituent members 50 in this way, the upper surface material 11 and the lower surface material 13 are constituted by the upper flange 53 and the lower flange 55 of the plurality of panel constituent members 50, and each panel The core material 15 is configured by the web 51 of the component member 50. In other words, the panel structure 30 according to the third embodiment includes the upper surface material 11 and the lower surface material 13 that are arranged substantially in parallel with each other at a predetermined interval by a plurality of panel constituent members 50, and the upper and lower ends thereof are upper surface materials. 11 and a core member 15 connected to the lower surface member 13.

  The panel floor structure 30 according to the third embodiment also adjusts the dimensions of each vibration system so that the primary natural frequency of each vibration system determined based on the above-described predetermined formula falls within the predetermined range as described above. Has been.

  The panel floor structure 30 according to the third embodiment is configured to have substantially the same shape as the panel floor structure 1 of the first embodiment, and the vibration source is the same as the panel floor structure 1 of the first embodiment. Think of it as a thing. For this reason, the dimension adjustment of the panel floor structure 30 according to the third embodiment is performed in the same manner as the dimension adjustment of the panel floor structure 1 according to the first embodiment.

  In the case of a structure such as the panel floor structure 30 according to the third embodiment, the core material 15 cannot be connected to the upper surface material 11 or the lower surface material 13 by a plurality of fixing brackets 81 at one location. The partial vibration systems 23 and 25 including the material 11, the lower surface material 13, and the core material 15 can take only pin support as support conditions by other members on the four sides of the peripheral edge.

  Incidentally, the web 51 of the panel component member 50 is not limited to being provided substantially vertically, and may be provided inclined in the width direction X. In this case, when the panel structure 10 is isotropic with respect to the deformation characteristics in the width direction X and the length direction Y as in the panel floor structure 1 of the second embodiment, the third embodiment relates to the third embodiment. The dimension adjustment of the panel floor structure 30 is performed in the same manner as the dimension adjustment of the panel floor structure 20 according to the second embodiment.

  Next, a fourth embodiment of the panel floor structure to which the present invention is applied will be described. FIG. 14A is a partially cutaway perspective view of the panel floor structure 40 of the fourth embodiment, and FIG. 14B is a front sectional view of the panel floor structure 40.

  The panel floor structure 40 according to the fourth embodiment is different from the panel floor structure 1 of the first embodiment in that the core material 15 made of channel steel is provided only at both ends in the width direction X of the panel floor structure 1. Yes. The core material 15 partitions the upper surface material 11 and the lower surface material 13 as a single hollow space 19. In addition, the core material 15 of the both ends of the width direction X is provided in the symmetrical state, respectively.

  The panel floor structure 40 further includes a sound absorbing material 61 filled in the hollow space 19. The sound absorbing material 61 is made of, for example, a fibrous material such as rock wool or glass wool, a foam material such as urethane foam, or a concrete material such as lightweight concrete or foam concrete. The sound absorbing material 61 absorbs vibrations generated in the partial vibration systems 23 and 25 including any one of the upper surface material 11, the lower surface material 13, and the core material 15, thereby obtaining actual measurement values of the partial vibration systems 23 and 25. The primary natural frequency is changed to a frequency in a high frequency band of 707 Hz or more which is outside the evaluation range of the heavy floor impact sound. For example, when the sound absorbing material 61 is fully filled in the hollow space 19, it is not necessary to adjust the dimensions of the partial vibration systems 23 and 25 in order to improve the sound insulation against the heavy floor impact sound of the panel floor structure 1. Therefore, it is only necessary to adjust the dimensions while paying attention only to the entire vibration system 21.

  The panel floor structure 40 is provided with end plates 16 made of plate material so as to close the openings on both sides in the length direction so that the sound absorbing material 61 can be filled into the hollow space 19.

  In the panel floor structure 40 according to the fourth embodiment, the dimensions of the overall vibration system 21 are such that only the primary natural frequency of the overall vibration system 21 determined based on the above-described predetermined formula falls within the predetermined range as described above. Has been adjusted.

  Here, when the sound absorbing material 61 is filled in the hollow space 19, if the density of the upper surface material 11, the lower surface material 13, the core material 15 and the sound absorbing material 61 is uniform, the width direction X and the length direction Y Regarding the deformation characteristics, the panel floor structure 40 is isotropic. Thereby, the dimension adjustment of the whole vibration system 21 of the panel floor structure 40 concerning 4th Embodiment should just be performed based on Numerical formula (2), (4), (10), (12) mentioned above. In this case, when considering the Young's modulus and the like of the panel floor structure 40, the Young's modulus and the like of the sound absorbing material 61 are considered in addition to the Young's modulus and the like of the upper surface material 11 and the like.

  The panel floor structure 40 according to the fourth embodiment includes a primary natural frequency determined based on a predetermined formula of the entire vibration system 21 that is a vibration source of the panel floor structure 1 and measured values of the partial vibration systems 23 and 25. The sound absorbing material 61 is filled in the hollow space 19 so that the primary natural frequency is outside the evaluation range of the heavy floor impact sound, and the dimensions of only the entire vibration system 21 are adjusted. That is, the sound insulation of the panel floor structure 40 is improved by a simple configuration. As shown in FIG. 4B, the primary natural frequency of each vibration system is changed to arrows Q1 and Q2 at the same time by adjusting the dimensions of the entire vibration system 21 and filling the sound absorbing material 61. It means that. For this reason, the panel floor structure 40 according to the fourth embodiment can provide the effects described in the first embodiment.

  Of course, even when the panel floor structure 1 includes the sound absorbing material 61, the dimensions of the partial vibration systems 23 and 25 may be adjusted. Further, even when the panel floor structure 1 includes the sound absorbing material 61, even if three or more core materials 15 are provided so as to partition the space between the upper surface material 11 and the lower surface material 13 into a plurality of hollow spaces 19 in the width direction. Of course it is good.

  The sound absorbing material 61 is preferably made of urethane foam. In this case, the sound absorbing material 61 made of urethane foam can have the same strength and rigidity as the core material 15. For this reason, the required number of core materials 15 can be reduced, and the manufacturing cost of the panel floor structure 40 can be reduced.

When adjusting the dimensions of the entire vibration system 21 of the panel structure 40 based on the formulas (2) and (6), the Young's modulus of each of the upper surface material 11, the lower surface material 13, the core material 15, and the sound absorbing material 61 is calculated. When the density or the like is different, the mathematical formulas (2) and (6) (primary natural frequencies f ₁ and f ₃ ) are expressed by the following mathematical formula (31) (primary natural frequency f ₁₃ ). Thereby, the dimension adjustment of each member is performed so as to satisfy the following formula (31). Here, n in the following mathematical formula (31) is represented by a, b, c, and d, and E _a1 , E _b1 , E _c1 , and E _d1 are the upper surface material 11, the lower surface material 13, the core material 15, and the sound absorbing material 61, respectively. The other I _a1 , ρ _a1 , S _a1, etc. are the cross-sectional secondary moment, density, and cross-sectional area of the upper surface material 11, the lower surface material 13, the core material 15, and the sound absorbing material 61, respectively. Means.

Further, the dimensions l ₁ and l ₂ described in the mathematical expressions (2), (4), (6), (8), (10), (12), (14), and the mathematical expressions (16) to (20). , T ₄ , a ₄ , b ₄ , t ₅ , a ₅ , b ₅ are within the ranges shown in FIGS. 5A to 5C and FIGS. 11A to 11C in the model diagrams. The dimensions l ₁ , l ₂ , t ₄ , t ₅ , a ₅ , b ₄ , b ₅ in these model diagrams are respectively shown in FIGS. 1B, 6A to 6C, FIG. 8A and FIG. 8B, L ₁ , L ₂ , T ₄ , T ₅ , A ₅ , B ₄ , and B ₅ shown in FIG. 12A and FIG. 12B correspond to each other. The dimensional a ₄ for top member 11 in the model view is equivalent to A ₄ shown in FIG. 1B, the dimensions a ₄ for the lower surface member 13 in the model diagram corresponds to L ₁ shown in FIG. 1B Yes.

Further, as shown in FIGS. 8A and 8B, and FIGS. 12A and 12B, the thickness t ₁ of the panel structure 10 and the thicknesses t ₄ and t ₅ of the upper surface material 11, the lower surface material 13 and the core material 15 are as described above. The primary natural frequency determined based on the predetermined formula falls within a predetermined range, and is set so as to be practically possible without impairing strength and economy. Further, t ₁ is preferably set to 50 mm or more and 200 mm or less, and t ₄ and t ₅ are preferably set to 0.8 mm or more and 10 mm or less.
Moreover, although the upper surface material 11 and the lower surface material 13 were comprised from the steel board | plate materials, it is not restricted to this.

  In Example 1, the dimensions of the panel structure 10 having seven types of cross-sectional performances as shown in Table 1-1, Table 1-2, Table 2-1, and Table 2-2 below were changed variously. Under such conditions, the primary natural frequency determined from the above-described formula (2) representing the natural frequency of each vibration system was confirmed.

[Table 1-1]

[Table 1-2]

[Table 2-1]

[Table 2-2]

Test No. The panel structure 10 used in 1-43 has a Young's modulus of 205,000 (N / mm ² ), a density of 7850 (kg / m ³ ), and a Poisson's ratio of 0.30. In the column “Supporting conditions” in Table 1-1, Table 1-2, Table 2-1, and Table 2-2, the supporting condition by the horizontal member 71 of the entire vibration system 21 is only at both ends in the length direction. When the pin is supported by the horizontal member 71, it is described as “two sides−pin”, and when both ends in the length direction and both ends in the width direction are pin supported by the horizontal member 71, “four sides− In the case where both ends in the length direction and both ends in the width direction are fixed and supported by the horizontal member 71, “pins” are described as “pins”. Moreover, the support conditions by the other members of the partial vibration systems 23 and 25 are pin-supported in the column “Support Conditions” of Table 1-1, Table 1-2, Table 2-1, and Table 2-2. The case is described as “pin”, and the case where it is fixedly supported is described as “fixed”.

  In determining the natural frequency of the overall vibration system 21, test no. In 1 to 14, it is determined based on the above formula (6). 15 to 21 are determined based on the above-described mathematical formula (2). In 22-28, it calculates | requires based on the above-mentioned Numerical formula (4). In 29-33, it calculates | requires based on the above-mentioned Numerical formula (12), Test No. 34-38, it calculates | requires based on the above-mentioned Numerical formula (8), and test No. In 39-43, it determined based on the above-mentioned numerical formula (16). In determining the natural frequency of the first partial vibration system 23, the test No. 1-28, test no. 34-38, it calculates | requires based on the above-mentioned Numerical formula (17), and test No. In 29-33 and test Nos. 39-43, it was determined based on the above formula (18). In determining the natural frequency of the second partial vibration system 25, the test No. 1-28, test no. 34-38, it calculates | requires based on the above-mentioned numerical formula (19), and test No. 29-33, Test No. In 39-43, it decided based on the above-mentioned numerical formula (20).

Test No. In each of the groups 1 to 5, 8 to 12, and 15 to 19, the length l ₁ between the support portions in the length direction of the panel structure 10 is mainly adjusted. In addition, Test No. In each of the groups 22 to 26 and 29 to 43, the length l ₁ between the support portions in the length direction of the panel structure 10 and the length l ₂ between the support portions in the width direction are mainly adjusted. As can be understood from these comparisons, the first partial vibration system 23 is adjusted by adjusting the length l ₁ between the support portions in the length direction of the panel structure 10 and the length l ₂ between the support portions in the width direction. It can be confirmed that the primary natural frequency of the whole vibration system 21 can be changed to a desired range without largely changing the primary natural frequency of the second partial vibration system 25.

Test No. 1, 6, 7 and test no. 8, 13, 14 and test no. 15, 20, 21 and test no. In each of the groups 22, 27, and 28, the length b ₄ between the connecting portions 17 of the first partial vibration system 23 is mainly adjusted. As can be understood from these comparisons, the primary natural frequency of the whole vibration system 21 and the second partial vibration system 25 is increased by adjusting the length b ₄ between the connecting portions 17 of the first partial vibration system 23. It can be confirmed that the primary natural frequency of the first partial vibration system 23 can be changed within a desired range without being changed.

According to the first embodiment, the primary natural frequency of the entire vibration system 21 determined based on the formula (2) or the like is 15 Hz to 45 Hz, and the first partial vibration system 23 determined based on the formula (17) or the like. It was confirmed that the panel floor structure 1 having the primary natural frequency of the second partial vibration system 25 of 707 Hz or more can be obtained by adjusting the dimensions of the overall vibration system 21, the first partial vibration system 23, and the like.
Moreover, the underline of the numerical value of the primary natural frequency of Table 1-1, Table 1-2, Table 2-1, and Table 2-2 shows the outside of the range of this embodiment.

  In Example 2, an important floor impact sound test was actually performed in accordance with JIS A 1418-2 using a panel floor structure having two types of cross-sectional performance as shown in Tables 3 to 5 below. The effect of the present invention was confirmed by investigating the sound pressure level with respect to the frequency.

[Table 3]

[Table 4]

[Table 5]

In this test, the panel floor structure 100 as a comparative example of the structure as shown in FIGS. 16A and 16B and the panel floor structure 1 as an example of the present invention of the structure as shown in FIGS. 10A and 10B are used. It was.
The panel floor structure 100 shown in FIG. 16A and FIG. 16B is made of steel and is disposed between the upper surface material 111 and the lower surface material 113, and between the upper surface material 111 and the lower surface material 113. A core material 115 is provided. The upper and lower ends of the core material 115 are connected to the upper surface material 111 and the lower surface material 113, thereby partitioning the upper surface material 111 and the lower surface material 113 in the width direction X and dividing the core material 115 into a plurality of hollow spaces 119.
As the dimensions of the panel floor structure 100 as a comparative example, the thickness of the entire panel floor structure 100 was 175 mm, and the interval between the adjacent core members 115 was 300 mm. Further, the dimensions of the panel floor structure 1 as an example of the present invention are such that the thickness T ₁ of the panel structure 10 is 60 mm, the length between the support portions 27 in the length direction Y is 3,000 mm, and the core materials 15 adjacent to each other. The interval in the width direction X of the web 41 was 120 mm, and the inclination angle α of the web 41 in the width direction X was 54 °. The panel structure 10 was tested under the condition of two-side support in which only both ends in the length direction were supported by the horizontal member 71.

From Table 3, the natural frequency of the whole vibration system of the example of the present invention is 21 Hz, and the natural frequency of the comparative example is 72 Hz. That is, when the dimensions of each member are adjusted as in the present invention example, the natural frequency of the entire vibration system is in the range of 15 Hz to 45 Hz, so that the sound insulation is improved. Further, from Table 4, the natural frequency of the first partial vibration system of the present invention example is 2701 Hz, and the natural frequency of the comparative example is 176 Hz. Further, from Table 5, the natural frequency of the second partial vibration system of the present invention example is 4104 Hz, and the natural frequency of the comparative example is 283 Hz. Therefore, when the dimension of each member is adjusted as in the present invention example, the natural frequency of the partial vibration system is in the range of 707 Hz to 200,000 Hz, so that sound insulation is improved.
Further, from the result shown in FIG. 15, the primary natural frequency of the entire vibration system as an actual measurement value that is seen in the frequency band of 63 Hz in the comparative example is shifted in the direction indicated by the arrow P1 by the application of the present embodiment. In the example, the primary natural frequency of the partial vibration system as an actual measurement value that can be seen in the frequency band of 125 Hz or 250 Hz is shifted in the directions indicated by arrows P2 and P3 by the application of the present embodiment. It was confirmed that the sound pressure level in the frequency band of impact sound was reduced. That is, since the sound pressure level peak does not occur in the evaluation range of heavy floor impact sound (over 45 Hz and below 707), it can be seen that the panel floor structure has excellent sound insulation.

  Next, in addition to the panel floor structure of 1st-4th embodiment, the panel floor structure which considered mass and rigidity is demonstrated.

The present inventor sets the primary natural frequency f _{1 to} f ₈ of the whole vibration system 21 to 15 Hz to 45 Hz, and the primary natural frequency f _{9 to} f _{12 of} the partial vibration system 22 to 707 Hz to 20000 Hz. The dimensions of such panel floor structures were investigated. In the investigation, for example, as shown in FIG. 17, in addition to the mass M _all (kg / m ² ) and the bending rigidity EI _all (N · m ² ) of the entire panel floor structure 70, the upper surface material 11 for them. And the mass M _f (kg / m ² ) and the bending rigidity EI _f (N · m ² ) of the bottom material 13, the mass Mw (kg / m ² ) and the bending rigidity EIw (N · m ² ) of the core material 15, We investigated separately. The mass M _all and the bending rigidity EI _{all of the} panel floor structure 1 referred to here are the sum of the masses M _f and M _w of the upper surface material 11, the lower surface material 13 and the core material 15, and their bending rigidity. It means the sum of EI _f and EIw. Moreover, the bending rigidity here means the bending rigidity of a cross section orthogonal to the length direction of the panel floor structure 70.
Here, the panel floor structure 70 of the sixth embodiment shown in FIG. 17 has been described as an example. However, in any of the panel floor structures 60, 80, and 90 of the fifth, seventh, and eighth embodiments described later. The same applies to.

The following Table 6, Tables 7-1 and 7-2 are tables showing the relationship between the mass and the bending rigidity when the dimensions of the panel floor structure 60 are variously changed, the sound insulation characteristics of each example, and the like. The channel steel described in the column of structure in Table 1 is a panel floor structure 60 having a cross-sectional shape as shown in FIGS. 19A and 19B. The folded plate described in the same column is a panel floor structure 70 having a cross-sectional shape as shown in FIG. The cross-sectional shapes of the panel floor structure 60 and the panel floor structure 70 are schematically shown in the lower part of the table. Further, the support span 1 in Table 6 is the distance between the support member 27 by welding, etc., the fixing member 81 of the horizontal member 71 and the panel floor structure 60 that support the panel floor structure 60 as shown in FIG. 18B. The floor thickness h is the thickness of the entire panel floor structure 70 as shown in FIG. Moreover, the length A of Table 6 is the length of the contact part 61 which the core material 15 and the upper surface material in the panel floor structure 60 as typically shown in the lower part of Table 6 are in contact, and the interval B is , The interval between adjacent contact portions 61. The contribution ratio of the mass or bending rigidity in Tables 7-1 and 7-2 is the mass M _f of the upper surface material 11 and the lower surface material 13 with respect to the mass M _all of the panel floor structure 60 or the bending rigidity EI _all , the bending rigidity EI _f and the like. The percentage of the mass Mw of the core material 15 and the bending rigidity EIw.

[Table 6]

[Table 7-1]

[Table 7-2]

また、１次固有振動数ｆ_２０は下記の数式（４２）を満たす。

また、遮音等級Ｌｈの計算値は下記の数式（４３）に基づき求められる。

ここで、遮音等級Ｌｈの計算値を求めるにあたっては、表６、表７−１、７−２の総ての例で、床構造の有効放射面積、空気の固有音響抵抗、床構造の音響放射係数、下室空間の吸音力、騒音計の動特性補正値、衝撃力実効値が同じであり、数式（４３）の定数Ａが１４７．１である条件とした。また、遮音等級Ｌｈの実測値は、ＪＩＳＡ１４１８−２に準拠して行なった重量床衝撃音試験により求めた。In each example, in order to evaluate the sound insulation characteristics, the impedance Z, the primary natural frequency f ₂₀ , and the sound insulation class Lh of the panel floor structure 60 were obtained. The impedance Z is obtained based on the following formula (41).

Further, the primary natural frequency f ₂₀ satisfies the following mathematical formula (42).

Further, the calculated value of the sound insulation class Lh is obtained based on the following mathematical formula (43).

Here, in obtaining the calculated value of the sound insulation class Lh, in all the examples of Table 6, Tables 7-1 and 7-2, the effective radiation area of the floor structure, the specific acoustic resistance of the air, the acoustic radiation of the floor structure The coefficient, the sound absorbing force in the lower chamber space, the dynamic characteristic correction value of the sound level meter, and the impact force effective value were the same, and the constant A in the equation (43) was 147.1. Moreover, the actual measurement value of the sound insulation class Lh was obtained by a heavy floor impact sound test performed in accordance with JIS A1418-2.

Moreover, in each example, in order to evaluate the weight reduction effect by application of invention, the following minimum mass of the panel floor structure 60 and the mass ratio with respect to the minimum mass were calculated | required. The minimum mass is the impedance primary natural frequency f ₂₀ of the floor structure with Z and means that the mass needed to more than 15 45Hz or less, for each example panel floor structure 60 of the whole It was obtained by solving simultaneous equations of Equation (41) and Equation (42) with flexural rigidity EI _all and mass M _all as variables. Moreover, the mass ratio with respect to the minimum mass was calculated by dividing the mass M _all of the panel floor structure 60 for each example by the minimum mass.

No. as a comparative example. 1, no. 2 and No. as an example of the invention. In comparison with 8, when the primary natural frequency f ₂₀ exceeds 45 Hz, it can be confirmed that the sound insulation class Lh as an actually measured value tends to be higher than the sound insulation class Lh as a calculated value by the equation (43). . Further, if the primary natural frequency f ₂₀ is 45Hz or less, it can be confirmed that the sound insulation grade Lh as measured values and sound insulation grade Lh of Calculated by equation (43) is to the same extent. In addition, No. as an example of the invention. No. 8 except 8. 6-No. No. 10 does not describe the sound insulation class Lh as an actual measurement value. From the result of 8, it is considered that the sound insulation class Lh as the calculated value and the sound insulation characteristic as the actual measurement value are approximately the same.

Here, the present inventor has found that the primary natural frequency f can be reduced to 45 Hz or less when the contribution ratio of the mass Mw of the core material 15 to the mass M _all of the panel floor structure 60 is 40% or more. . In this case, no. 1 and No. Comparison with No. 8 and No. 8 2 and No. As shown in FIG. 7, the total mass M _all of the panel floor structure 60 is comparable between the inventive example and the comparative example, and the overall bending rigidity of the inventive example is higher than the overall bending rigidity EI _all of the comparative example. In spite of the fact that EI _all is significantly lower, it has been found that the inventive example can obtain a sound insulation performance comparable to or higher than that of the comparative example. This is considered because the primary natural frequency f has become 45 Hz or less. In this case, it was also found that the thickness of the panel floor structure 60 can be reduced. This is presumably because the bending rigidity EI _{all of the} entire panel floor structure 60 was reduced.

Based on the knowledge that the contribution ratio of the mass M _w of the core material 15 to the mass M _all of the entire panel floor structure 60 is important, the present inventor attempts to reduce the weight as much as possible and In order to obtain a panel floor structure 60 capable of obtaining the same or better sound insulation, further studies were conducted. As a result, if the dimensions of the upper surface material 11, the lower surface material 13 and the core material 15 are adjusted so as to satisfy all of the following mathematical formulas (21) to (23), the panel floor having such performance is provided. It was found that structure 60 can be obtained. Here, the adjustment of the dimension of each member is the same as in the first embodiment.
EI _f ≧ 0.65 × EI _all (21)
M _w ≧ 0.40 × M _all (22)
M _w ≧ EI _w / (k × l ⁴ ) (23)

Equation (21) is a necessary condition in terms of reducing the weight as much as possible the primary natural frequency f ₂₀ of the whole vibration system with a 15Hz or 45Hz or less. When the contribution ratio of the bending rigidity EI _f of the upper surface material 11 and the lower surface material 13 to the bending rigidity EI _{all of the} entire panel floor structure 60 is less than 65%, the portion occupied by the core material 15 is excessive with respect to the entire panel floor structure 60. become. That amount, leading to excessive increases in the panel floor structure 60 overall mass M _all, resulting in an excessive increase in the mass M _all for the minimum mass needed primary natural frequency f ₂₀ for the 45 Hz.

As shown in Table 6, Tables 7-1, and 7-2, Equation (21) is when the contribution ratio of EI _f of the upper surface material 11 and the lower surface material 13 to EI _all of the panel floor structure 60 is 65% or more The mass ratio with respect to the minimum mass was 105% or less, and when it was less than 65%, the mass ratio with respect to the minimum mass was more than 105%.

Incidentally, the flexural rigidity EI _f of the upper surface member 11 and the lower surface member 13 is a left-hand side of equation (21) is not particularly limited for its upper limit. However, when the contribution ratio of the bending rigidity EI _f to the bending rigidity EI _{all of the} entire panel floor structure 60 is more than 90%, it is difficult to realize this structure. Therefore, the following numerical formula (21-1) may be satisfied.
0.90 × EI _all ≧ EI _f ≧ 0.65 × EI _all (21-1)

Formula (22) is a condition necessary for setting the primary natural frequency f ₂₀ of the panel floor structure 60 to 15 Hz or more and 45 Hz or less. When the contribution ratio of the mass Mw of the core material 15 to the mass M _all of the entire panel floor structure 60 is less than 40%, the upper surface material 11 and the lower surface material 13 occupy excessively with respect to the entire panel floor structure 60. Therefore, the part which the upper surface material 11 and the lower surface material 13 which are located far from the plate thickness direction center position of the panel floor structure 60 occupy becomes excessive. Accordingly, the bending rigidity EI _all of the panel floor structure 60 as a whole is excessively increased, and the primary natural frequency f ₂₀ exceeds 45 Hz.

As shown in Table 6, Table 7-1, and 7-2, the mathematical formula (22) is calculated when the contribution ratio of the mass Mw of the core material 15 to the mass M _all of the entire panel floor structure 60 is 40% or more. the primary natural frequency _{f 20} of the structure 60 becomes 45Hz or less, primary natural frequency _{f 20} of the panel floor structure 60 in the case of less than 40% was derived based on becoming a 45Hz greater.

In addition, the core material Mw which is the left side of Formula (2) does not specifically limit about the upper limit. However, when the contribution ratio of the core material Mw to the mass M _all of the panel floor structure 60 exceeds 90%, it is difficult to realize this structure. Therefore, the following mathematical formula (22-1) may be satisfied.
0.90 × M _all ≧ Mw ≧ 0.40 × M _all (22-1)

Equation (23), the primary natural frequency _{f 20} of the panel floor structure is a condition necessary for a 15Hz or 45Hz or less. As can be understood from the process of deriving equation below (23), is not satisfied the formula (23), the primary natural frequency f ₂₀ of the panel floor structure becomes a 45Hz exceeds, by a resonance phenomenon occurs As a result, the actual measurement value of the sound insulation class Lh increases and the target sound insulation property cannot be obtained.

The basis for obtaining Equation (23) will be described. From the above formula (42), the following formula (51) can be derived as a condition for setting the primary natural frequency f ₂₀ to 15 Hz or more and 45 Hz or less.
EI _all ≦ (90 / π) ² × l × M _all (51)

Further, the following formulas (52) and (53) can be derived from the above formulas (21) and (22), and the following formula (54) can be derived from the above formula (51).
1.86 × EI _w ≦ EI _f (52)
M _f ≦ 1.5 × M _w (53)
EI _w + EI _f ≦ (90 / π) ² × l ⁴ × (M _w + M _f ) (54)

From the above formulas (52), (53), and (54), the following formula (55) can be derived, and from this, the following formula (56) can be derived, which becomes the above formula (23).
2.86 × EI _w ≦ (90 / π) ² × l ⁴ × (2.5 × M _w ) (55)
Mw ≧ EI _w / (k × l ⁴ ) (k = 719) (56)

  In order to satisfy the above formula (21), the plate thickness of the upper surface material 11 and the lower surface material 13 may be increased, or the floor thickness h of the panel floor structure 60 may be decreased. In order to satisfy the above formula (22), the thickness of the core material 15 is increased with respect to the thickness of the upper surface material 11 and the lower surface material 13, or the interval between the core materials 15 adjacent in the width direction is increased. What is necessary is just to adjust dimensions, such as narrowing. Moreover, in order to satisfy said numerical formula (23), the board | plate thickness of the upper surface material 11, the lower surface material 13, and the core material 15 should just be thickened, or the floor thickness h of the panel floor structure 60 should be made small.

Note that the following mathematical formula (61) may be used as an alternative to the mathematical formula (22). This is obtained by developing a product obtained by multiplying both sides of the formula (22) by EIall.
M _w × EI _f + M _w × EI _w ≧ 0.40 × M _all (61)

  The panel floor structure 60 according to the fifth embodiment also has dimensions of each vibration system such that the primary natural frequency of each vibration system determined based on the above-described predetermined formula falls within the predetermined range as described above. It has been adjusted.

According to the present embodiment, the sound insulation is equivalent to or higher than that of the conventional panel floor structure in spite of the same mass M _all and the overall bending rigidity EI _all is greatly reduced. It becomes possible to obtain sex. Furthermore, the thickness of the panel floor structure 60 can be reduced. Further, in realizing the present embodiment, without excessively increasing the impedance Z and suppressing an excessive increase in the mass M _{all with} respect to the minimum mass necessary for setting the primary natural frequency f ₂₀ to 45 Hz or less. Therefore, it is possible to obtain an excellent effect regarding sound insulation while reducing the weight as much as possible. That is, in order to improve the sound insulation, an excessive increase in weight is unnecessary, so that the panel floor structure 60 can be kept light. Accordingly, the horizontal external force during an earthquake can be reduced, and the number of structural members such as columns, beams, piles, and foundations can be reduced. As a result, it is possible to reduce the weight of the entire building and reduce the cost, and there is an advantage that a rational and economical structural design becomes possible. Further, by reducing the thickness of the panel floor structure 60, the height of the building can be reduced, and the amount of interior materials and exterior materials used can be reduced.

  Next, a fifth embodiment for carrying out the panel floor structure according to the present invention will be described in detail with reference to the drawings.

FIG. 18A is a perspective view showing a state before the panel floor structure 60 of the fifth embodiment is arranged on a plurality of horizontal members 71, and FIG. 18B is a front sectional view thereof.
FIG. 19A is a perspective view showing the configuration of the panel floor structure 60 of the fifth embodiment, and FIG. 19B is a front sectional view thereof.

As shown in FIG. 17A, the panel floor structure 60 according to the present embodiment is a panel that can be disposed in the underfloor structure 7 constituted by a plurality of horizontal members 71 that are disposed substantially in parallel at intervals in one direction. It is structured as a body. That is, it is a two-sided support structure. The horizontal member 71 is a framework that is extended and bridged in the horizontal direction in the building structure. In the underfloor structure 7 constituted by such a horizontal member 71, a floor material such as a panel floor structure 60 is disposed thereon.
In addition to this, as shown in FIG. 6A, the underfloor structure 7 intersects with a plurality of horizontal members 71 arranged substantially in parallel with an interval in one direction, and the plurality of horizontal members 71. There is a case where a plurality of horizontal members 71 arranged at intervals in a direction orthogonal to one direction are assembled in a grid shape. That is, it is a four-sided support structure. The panel floor structure 60 is used by being fixed to each horizontal member 71 by, for example, a fixing bracket 81 such as a screw or a bolt. However, the fixing means for the horizontal member 71 is particularly limited as long as it is known. Not what you want.

  The horizontal member 71 is composed of a frame member such as square steel or H-shaped steel disposed substantially horizontally in a building, or an upper end portion of a face member disposed substantially vertically. When the horizontal member 71 is composed of a frame member such as square steel or H-shaped steel, it is used as a large beam, a small beam or the like when applied to a steel structure such as an office building or an apartment house. In addition, when applied to buildings such as detached houses and steel houses, it is used as a fork, field edge, field edge receiver, etc.

  As shown in FIGS. 18A and 18B, the panel floor structure 1 according to the present embodiment includes an upper surface material 11 and a lower surface material 13 that are arranged substantially parallel to each other at a predetermined interval, and the upper surface material 11 and the lower surface material 12. And at least a pair of steel core members 15 that are connected to form a hollow space (space) 19. The core material 15 has upper and lower ends connected to the upper surface material 11 and the lower surface material 13, thereby partitioning the hollow space 19 between the upper surface material 11 and the lower surface material 13 in the width direction X. It is divided into hollow spaces 19. In the fifth embodiment, the core material 15 partitions the plurality of hollow spaces 19 in the width direction X.

  The upper surface material 11 plays a role as a so-called floor base plate, and a decorative plywood or the like may be attached to the surface of the upper surface material 11. The lower surface material 13 plays a role as a so-called ceiling plate, but it is needless to say that another material having the function of the ceiling plate may be provided in the lower space of the lower surface material 13. As described in the first embodiment, the upper surface material 11 and the lower surface material 13 are composed of steel plate materials in which the dimensions of the respective members are adjusted.

  The core material 15 is a steel plate, channel steel, I-shaped steel, lip channel steel, angle steel, box whose length direction Y is substantially parallel to the length direction (depth direction) Y of the panel floor structure 60. It is comprised from shape steels, such as a shape steel, and in 5th Embodiment, it is comprised from the some groove shape steel. The core material 15 has its upper and lower ends brought into contact with the upper surface material 11 and the lower surface material 13, and is fixed by a fixing tool 81 such as a screw or a rivet or by welding, whereby the upper surface material 11 or the lower surface material. 13 is connected. The core material 15 made of channel steel in the fifth embodiment includes a web 31 and an upper flange 33 and a lower flange 35 on both upper and lower sides of the web 31. With the upper flange 33 and the lower flange 35 in contact with the upper surface material 11 and the lower surface material 13, fixing metal (fixing members) 84 and 85 such as screws and rivets, and the core material 15 and the upper surface are welded. The material 11 and the lower surface material 13 are fixed. Thereby, the core material 15, the upper surface material 11, and the lower surface material 13 are connected.

  As shown in FIG. 17A, an end plate 16 made of a plate material is attached to the panel floor structure 60 in the fifth embodiment so as to close the openings on both sides in the length direction. The end plate 16 is connected to the upper surface material 11 and the lower surface material 13 by fixing metal fittings such as welding and screws. In the panel floor structure 60 in the sixth embodiment, the upper surface material 11 and the lower surface material 13 are connected to the end plate 16 by welding. The end plate 16 is not an essential component in the present embodiment.

  Next, a sixth embodiment of the panel floor structure to which the present invention is applied will be described. In addition, about the component same as the component mentioned above, the description below is abbreviate | omitted by attaching | subjecting the same code | symbol.

  FIG. 20A is a perspective view showing a configuration of a panel floor structure 70 of the sixth exemplary embodiment, and FIG. 20B is a front sectional view thereof.

The panel floor structure 70 according to the sixth embodiment is different in the configuration of the core material 15 from the panel floor structure 60 according to the fifth embodiment. In the panel floor structure 70 according to the sixth embodiment, the core material 15 is formed of a folded plate.
The core material 15 has an upper flange 43 (upper flat surface portion) that contacts the upper surface material 11 in a plane, a lower flange (lower flat surface portion) 45 that contacts the lower surface material 13 in a plane, and the upper surface material 11 and the lower surface material 13. And an inclined web 41 (inclined portion). Furthermore, the upper flange 43, the web 41, and the lower flange 45 are continuously formed in this order.
Specifically, the core 15 made of this folded plate is provided with an upper flange 43 and a lower flange 45 provided substantially horizontally in the width direction X so as to be inclined with respect to the width direction X. They are alternately formed in the width direction X via the web 41 to form a waveform. An upper flange 43 positioned on the upper end side of the core material 15 formed of a folded plate is brought into contact with the upper surface material 11, and a core material formed of the folded plate is contacted with the lower surface material 13. The lower flange 45 located on the lower end side of the 15 is abutted, and these are fixed and connected by fixing brackets 814 and 85 such as screws and rivets, or welding. Thereby, the core material 15 made of a folded plate partitions the space between the upper surface material 11 and the lower surface material 13 into a plurality of hollow spaces 19 in the width direction.
Furthermore, the panel floor structure 70 according to the sixth embodiment also has each vibration system such that the primary natural frequency of each vibration system determined based on the above-described predetermined formula falls within the predetermined range as described above. The dimensions have been adjusted.

In the sixth embodiment, the fixing bracket 84 is provided at a plurality of locations where one upper flange 43 and one lower flange 45 in the core member 15 are spaced apart from each other in the longitudinal direction Y with respect to the upper surface material 11 and the lower surface material 13. , 85. One portion of the upper flange 43 and the lower flange 45 is fixed and connected by one fixing bracket 84 and 85, respectively. Further, both ends in the width direction X of the core member 15 formed of a folded plate are bent with respect to the upper flange 43 or the lower flange 45 so as to form a substantially U shape opened inside the panel floor structure 1. ing.
Moreover, the core material 15 may be comprised from the folded plate in this way, and may be comprised from the corrugated sheet. Furthermore, the angle α formed by the upper flange 43, the lower flange 45 and the web 41 is preferably 45 degrees to 80 degrees.

  Next, a seventh embodiment of the panel floor structure to which the present invention is applied will be described.

  FIG. 21A is a perspective view showing a configuration of a panel floor structure 80 according to the seventh embodiment, FIG. 21B is a side view showing a configuration of a panel constituent member 50 constituting the panel floor structure 80, and FIG. 3 is a front sectional view of the panel floor structure 80. FIG.

  The panel floor structure 80 according to the seventh embodiment is configured by combining a plurality of panel constituent members 50 as shown in FIG. 21B. The panel component member 50 includes a web 51, an upper flange 53 provided at one end of the web 51 and extending in the width direction, and a lower flange 55 provided at the other end of the web 51 and extending in the opposite direction to the upper flange 53. , Extending in the length direction. That is, the upper flange 53 and the lower flange 55 extend in a substantially vertical direction with respect to the web 51, and are bent from the upper and lower ends of the web 51 in the direction opposite to the width direction X. Thereby, the cross-sectional shape of the panel structural member 50 is comprised by substantially Z shape. The panel constituent member 50 is configured by bending a steel plate, roll forming, hot press forming, or the like.

  As shown in FIG. 21C, the panel component member 50 is arranged with the same orientation state so that substantially the same plane is formed by the upper flange 53 and the lower flange 55. That is, the panel floor structure 30 is arranged adjacent to each other in the width direction so that each of the upper flange 53 and the lower flange 54 forms the same plane, and a plurality of the upper flanges 53 arranged adjacent to each other are formed in the fifth embodiment. A plurality of lower flanges 55 arranged adjacent to each other form the lower surface material 13 shown in the fifth embodiment, and the web 51 is the core material 15. Thus, the panel floor structure 80 according to the seventh embodiment is configured. The front end portion 53a of the upper flange 53 in the panel component member 50 is fixed to the proximal end portion 53b of the upper flange 53 in another adjacent panel component member 50 by welding, mechanical joining, or the like. Furthermore, the front-end | tip part 55a of the lower flange 55 in the panel structural member 50 is fixed to the base end part 55b of the lower flange 55 in the adjacent other panel structural member 50 by welding, mechanical joining, etc. Thus, adjacent panel constituent members 50 are fixed to each other.

Thus, the panel floor structure 80 comprised by the several panel structural member 50 comprises the upper surface material 11 and the lower surface material 13 by the upper flange 53 and the lower flange 55 of the several panel structural member 50, and each panel structure. The core material 15 is constituted by the web 51 of the member 50.
Further, the panel floor structure 80 according to the seventh embodiment also has each vibration system such that the primary natural frequency of each vibration system determined based on the above-described predetermined formula falls within the predetermined range as described above. The dimensions have been adjusted.

  Next, an eighth embodiment of a panel floor structure to which the present invention is applied will be described.

  FIG. 22A is a partially cutaway perspective view showing a configuration of a panel floor structure 90 according to the eighth embodiment, and FIG. 22B is a front sectional view thereof.

  The panel floor structure 90 according to the eighth embodiment further includes a sound absorbing material 61 filled in a hollow space 19 provided by being partitioned by the core material 15 between the upper surface material 11 and the lower surface material 13. The sound absorbing material 61 is made of, for example, a fibrous material such as rock wool or glass wool, a foam material such as urethane foam, a concrete material such as lightweight concrete or foam concrete.

  In addition, the panel floor structure 90 in 8th Embodiment is attached with the end plate 16 which consists of a board | plate material which block | closes the opening of the both sides of the length direction Y so that the sound absorption material 61 can be filled in the hollow space 19. FIG. .

  As mentioned above, although the example of embodiment of this invention was demonstrated in detail, all the embodiment mentioned above showed only the example of actualization in implementing this invention, and these are the technical aspects of this invention. The range should not be construed as limiting.

  In Example 3, No. 1 in Table 6 above was obtained. 1 and No. Using a panel floor structure having two types of cross-sectional performances of 8 and 8, a heavy floor impact sound test was conducted in accordance with JIS A 1418-2, and the sound pressure level for each frequency was investigated.

FIG. 23 is a diagram showing the results of the heavy floor impact sound test. The horizontal axis represents the 1/1 octave center frequency, and the vertical axis represents the sound pressure level. The rounded line is No. as a comparative example. As a result of No. 1, the square line is No. as an invention example. The result of 8 is shown.
When both are compared, No. as an invention example. No. 8 is No. as a comparative example. It can be confirmed that the sound insulation property is higher than that of 1. Referring to Tables 7-1 and 7-2, No. 1 as an example of the invention. 8 has a total mass M _all of 102 (kg / m ² ). The total mass M _all of 1 is 92 (kg / m ² ), which is comparable. However, no. 8 satisfies all of the formulas (21) to (23), while No. 8 as a comparative example. 1 satisfies only Expression (21), and further, the primary natural frequency of the entire vibration system exceeds 45 Hz. As a result, the sound insulation class Lh of the panel floor structure of the present invention example as a calculated value is higher than the sound insulation class Lh of the panel floor structure of the comparative example. Lower than Therefore, weight reduction is achieved by adjusting the dimensions of each member so that all of the mathematical expressions (21) to (23) are satisfied and the primary natural frequency of the entire vibration system is 15H or more and 45Hz or less. In addition, it is possible to provide a panel floor structure having excellent sound insulation.

DESCRIPTION OF SYMBOLS 1 Panel floor structure 7 Underfloor structure 10 Panel structure 11 Upper surface material 13 Lower surface material 15 Core material 16 End plate 17 Connection part 19 Hollow space 21 Whole vibration system 23 1st partial vibration system 25 2nd partial vibration system 27 Support part 31 Web 33 Upper flange 35 Lower flange 41 Web 43 Upper flange 45 Lower flange 51 Web 53 Upper flange 55 Lower flange 61 Sound absorbing material 71 Horizontal material 81 Fixing bracket

Claims (16)

An upper surface material and a lower surface material arranged substantially parallel to each other at a predetermined interval;
At least a pair of steel core members that connect the upper surface material and the lower surface material to form a space, and
A panel floor structure comprising:
At least one of a length dimension, a width dimension, a plate thickness, the predetermined interval, a length dimension of the core member, a plate thickness, and an arrangement interval between the core members is included in the upper surface member and the lower surface member. A panel floor structure which is adjusted to satisfy the following (A) and (B).
(A) The primary natural frequency of the entire vibration system constituted by the upper surface material, the lower surface material, and the core material is 15 Hz to 45 Hz.
(B) The primary natural frequency of the partial vibration system of each of the upper surface material, the lower surface material, or the core material is 707 Hz to 20000 Hz. The overall vibration system has isotropicity satisfying the following mathematical formula (1);
The entire vibration system is arranged to extend along two edges of the lower surface member with a gap in the width direction or a length direction orthogonal to the width direction, and supports the lower surface material. Further comprising: a frame member; and a fixing member that fixes the bottom material and the horizontal member;
The primary natural frequency f _{1 of the} whole vibration system satisfies the following formula (2);
The panel floor structure according to claim 1.
Ex · Ix = Ey · Iy (1)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a vertical cross section parallel to the extending direction of the horizontal member
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member (mm ² )
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction The whole vibration system has isotropicity satisfying the following mathematical formula (3);
A horizontal member for supporting the lower surface material, extending along the four edges of the lower surface material at intervals in the width direction and the length direction of the overall vibration system; and the lower surface material And a fixing member for fixing the horizontal member;
Wherein the primary natural frequency f ₂ of the whole vibration system, satisfies the following formula (4);
The panel floor structure according to claim 1.
Ex · Ix = Ey · Iy (3)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the length direction of the entire vibration system
ν ₁ : Poisson's ratio of the whole vibration system ρ ₁ : density of the whole vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section orthogonal to the length direction of the horizontal member
l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction The whole vibration system has anisotropy satisfying the following mathematical formula (5);
A horizontal member for supporting the lower surface material, arranged extending along two edges of the lower surface material at intervals in the length direction of the overall vibration system, and the lower surface material and the horizontal material A fixing member for fixing the material;
The primary natural frequency f _{3 of the} whole vibration system satisfies the following formula (6);
The panel floor structure according to claim 1.
Ex · Ix ≠ Ey · Iy (5)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the width direction of the entire vibration system
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) perpendicular to the width direction of the entire vibration system
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction The whole vibration system has anisotropy satisfying the following mathematical formula (7);
A horizontal member for supporting the lower surface material, extending along the four edges of the lower surface material at intervals in the width direction and the length direction of the overall vibration system; and the lower surface material And a fixing member for fixing the horizontal member;
The primary natural frequency f _{4 of the} whole vibration system satisfies the following formula (8);
The panel floor structure according to claim 1.
Ex · Ix ≠ Ey · Iy (7)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system

l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction
ρ ₁ : density of the entire vibration system (kg / m ³ )
ν ₁ : Poisson's ratio of the whole vibration system E ₁ : Young's modulus (N / mm ² ) of the whole vibration system
Sx: Cross-sectional area (mm ² ) of a cross section orthogonal to the width direction of the entire vibration system
Sy: sectional area (mm ² ) of a cross section perpendicular to the length direction of the entire vibration system The whole vibration system has isotropicity satisfying the following mathematical formula (9);
The entire vibration system is arranged to extend along two edges of the lower surface member with a gap in the width direction or a length direction orthogonal to the width direction, and supports the lower surface material. A mounting member; and a fixing member that fixes at least the lower surface member of the upper surface member and the lower surface member to the horizontal member;
When only the lower surface material is fixed to the horizontal member, further comprising another fixing member for fixing the upper surface material and the other member;
The primary natural frequency f _{5 of the} whole vibration system satisfies the following formula (10);
The panel floor structure according to claim 1.
Ex · Ix = Ey · Iy (9)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a vertical cross section parallel to the extending direction of the horizontal member
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : Cross-sectional area of a vertical cross section parallel to the extending direction of the horizontal member (mm ² )
l ₁ : Arrangement interval (mm) of the horizontal member in the width direction or the length direction The whole vibration system has isotropicity satisfying the following mathematical formula (11);
A horizontal member that extends along the four edges of the lower surface member and is spaced from each other in the width direction and the length direction of the entire vibration system, and supports the lower surface member, and the upper surface member And a fixing member that fixes at least the lower surface material of the lower surface material to the horizontal member;
When only the lower surface material is fixed to the horizontal member, further comprising another fixing member for fixing the upper surface material and the other member;
The primary natural frequency f _{6 of the} whole vibration system satisfies the following formula (12);
The panel floor structure according to claim 1.
Ex · Ix = Ey · Iy (11)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the length direction of the entire vibration system
ν ₁ : Poisson's ratio of the whole vibration system ρ ₁ : density of the whole vibration system (kg / m ³ )
S ₁ : Cross-sectional area (mm ² ) of a cross section orthogonal to the length direction of the horizontal member
l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction The whole vibration system has anisotropy satisfying the following formula (13);
The entire vibration system is arranged to extend along two edges of the lower surface member with a gap in the width direction or a length direction orthogonal to the width direction, and supports the lower surface material. A mounting member; and a fixing member that fixes at least the lower surface member of the upper surface member and the lower surface member to the horizontal member;
When only the lower surface material is fixed to the horizontal member, further comprising another fixing member for fixing the upper surface material and the other member;
The primary natural frequency f _{7 of the} whole vibration system satisfies the following formula (14);
The panel floor structure according to claim 1.
Ex · Ix ≠ Ey · Iy (13)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system
E ₁ : Young's modulus (N / mm ² ) of the entire vibration system
I ₁ : Secondary moment of inertia (mm ⁴ ) in a cross section perpendicular to the width direction of the entire vibration system
ρ ₁ : density of the entire vibration system (kg / m ³ )
S ₁ : sectional area (mm ² ) of a vertical section perpendicular to the width direction of the whole vibration system
l ₁ : Arrangement interval (mm) of the horizontal members in the width direction or the length direction The whole vibration system has anisotropy satisfying the following formula (15);
A horizontal member that extends along the four edges of the lower surface member and is spaced from each other in the width direction and the length direction of the entire vibration system, and supports the lower surface member, and the upper surface member And a fixing member that fixes at least the lower surface material of the lower surface material to the horizontal member;
When only the lower surface material is fixed to the horizontal member, further comprising another fixing member for fixing the upper surface material and the other member;
The primary natural frequency f ₈ of the whole vibration system, satisfies the following formula (16);
The panel floor structure according to claim 1.
Ex · Ix ≠ Ey · Iy (15)

However,
Ex: Young's modulus in the width direction of the whole vibration system Ey: Young's modulus in the length direction of the whole vibration system Ix: Second moment of section (mm ⁴ ) in a section perpendicular to the width direction of the whole vibration system
Iy: sectional second moment (mm ⁴ ) in a section perpendicular to the length direction of the entire vibration system

l ₁ : arrangement interval (mm) of the horizontal member in the length direction
l ₂ : arrangement interval (mm) of the horizontal member in the width direction
ρ ₁ : density of the entire vibration system (kg / m ³ )
ν ₁ : Poisson's ratio of the whole vibration system E ₁ : Young's modulus (N / mm ² ) of the whole vibration system
Sx: Cross-sectional area (mm ² ) of a cross section orthogonal to the width direction of the entire vibration system
Sy: sectional area (mm ² ) of a cross section perpendicular to the length direction of the entire vibration system A first core material fixing member that fixes the upper surface material and the core material to a contact portion between the core material and the upper surface material;
A second core material fixing member for fixing the lower surface material and the core material to a contact portion between the core material and the lower surface material;
Further comprising:
The primary natural frequency f ₉ of the upper surface member and said lower surface member satisfies the following formula (17);
The panel floor structure according to any one of claims 1 to 9, wherein the panel floor structure is provided.

However,
E ₄ : Young's modulus (N / mm ² ) of the upper surface material or the lower surface material
t ₄ : thickness (mm) of the upper surface material or the lower surface material
ρ ₄ : density of the upper surface material or the lower surface material (kg / m ³ )
ν ₄ : Poisson's ratio of the upper surface material or the lower surface material a ₄ : Length in the length direction of the upper surface material or the lower surface material (mm)
b _4: arrangement interval between the core (mm) A plurality of fixing members for fixing the upper surface material and the core material to a contact portion between the core material and the upper surface material;
A plurality of fixing members for fixing the lower surface material and the core material to a contact portion between the core material and the lower surface material;
Further comprising:
The primary natural frequency f ₁₀ of the top member and said bottom surface member satisfies the following formula (18);
The panel floor structure according to any one of claims 1 to 9, wherein the panel floor structure is provided.

However,
E ₄ : Young's modulus (N / mm ² ) of the upper surface material or the lower surface material
t ₄ : thickness (mm) of the upper surface material or the lower surface material
ρ ₄ : density of the upper surface material or the lower surface material (kg / m ³ )
ν ₄ : Poisson's ratio of the upper surface material or the lower surface material a ₄ : Length in the length direction of the upper surface material or the lower surface material (mm)
b _4: arrangement interval between the core (mm) Panel floor structure of claim 10 in which the primary natural frequency f ₁₁ of the core material and satisfies the following equation (19).

However,
E ₅ : Young's modulus of the core material (N / mm ² )
t ₅ : thickness of the core material in the plate thickness direction (mm)
ρ ₅ : density of the core material (kg / m ³ )
ν ₅ : Poisson's ratio of the core material a ₅ : length of the core material in the length direction (mm)
b ₅ : the predetermined interval (mm) Panel floor structure of claim 11 in which the primary natural frequency f ₁₂ of the core material and satisfies the following formula (20).

However,
E ₅ : Young's modulus of the core material (N / mm ² )
t ₅ : thickness of the core material in the plate thickness direction (mm)
ρ ₅ : density of the core material (kg / m ³ )
ν ₅ : Poisson's ratio of the core material a ₅ : length of the core material in the length direction (mm)
b ₅ : the predetermined interval (mm) The entire vibration system is arranged to extend along two end sides of the lower surface material with a gap in the width direction or a length direction orthogonal to the width direction, and support the lower surface material. A mounting member, and a fixing member that fixes the lower surface member and the horizontal member;
The panel floor structure according to claim 1, wherein the following mathematical formulas (21) to (23) are satisfied.
EI _f ≧ 0.65 × EI _all (21)
M _w ≧ 0.40 × M _all (22)
M _w ≧ EIw / (k × l ⁴ ) (k = 719) (23)
However,
M _w : Mass of the core material (kg / m ² )
EI _f : bending rigidity (N · m ² ) of the upper surface material and the lower surface material
EI _w : bending rigidity of the core material (N · m ² )
M _all : Total mass of the upper surface material, the lower surface material and the core material (kg / m ² )
EI _all : Flexural rigidity (N · m ² ) of the upper surface material, the lower surface material and the core material
l: Arrangement interval (m) of the horizontal members in the width direction or the length direction The core material has an upper flat surface portion that makes contact with the upper surface material in a plane, a lower flat surface portion that makes contact with the lower surface material in a plane, and an inclined portion that is inclined with respect to the upper surface material and the lower surface material,
The panel floor structure according to claim 1, wherein the upper flat portion, the inclined portion, and the lower flat portion are formed continuously in this order.   The panel floor structure according to claim 1, wherein the space is filled with a sound absorbing material.

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