CN114880803A - Gear parameter tolerance sensitivity analysis method, system, tester and storage medium - Google Patents

Gear parameter tolerance sensitivity analysis method, system, tester and storage medium Download PDF

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CN114880803A
CN114880803A CN202210556763.9A CN202210556763A CN114880803A CN 114880803 A CN114880803 A CN 114880803A CN 202210556763 A CN202210556763 A CN 202210556763A CN 114880803 A CN114880803 A CN 114880803A
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gear
tolerance
modification
parameter
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郭相坤
于博瑞
白学斌
贾旭东
张鹏
金子嵛
梁宏宇
王学旭
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FAW Group Corp
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Abstract

The invention discloses a gear parameter tolerance sensitivity analysis method, a gear parameter tolerance sensitivity analysis system, a gear parameter tolerance sensitivity tester and a storage medium, and belongs to the field of gear testing. The method comprises the steps of obtaining gear microscopic modification parameter tolerance data samples of two gears which are meshed with each other, obtaining the variance ratio of the gear microscopic modification parameter tolerances through a Monte Carlo method, obtaining the tolerance influence transmission error weight coefficient of the gear microscopic modification parameter tolerances, obtaining the gear microscopic modification parameter tolerance sensitivity coefficient of the gear microscopic modification parameter tolerances, and analyzing the sensitivity degree of the gear microscopic modification parameter tolerances on the transmission error according to the tolerance influence transmission error weight coefficient and the gear microscopic modification parameter tolerance sensitivity coefficient. The evaluation index of the influence of the gear microscopic modification parameter on the transmission error is defined, the influence of the manufacturing tolerance on the actual gear meshing transmission error is evaluated, and the sensitivity of the gear microscopic modification parameter tolerance on the transmission error is shown.

Description

Gear parameter tolerance sensitivity analysis method, system, tester and storage medium
Technical Field
The invention relates to the field of gear testing, in particular to a gear parameter tolerance sensitivity analysis method, a gear parameter tolerance sensitivity analysis system, a gear parameter tolerance sensitivity analysis tester and a storage medium.
Background
With the rapid development of pure electric vehicles, the electric drive system speed reducer is used as a key component of an electric drive system assembly of the electric vehicle, and the requirement on the manufacturing precision of the electric drive system speed reducer is higher and higher. The manufacturing precision of the gear micro-modification is a part with large precision influence, and the good manufacturing precision of the gear micro-modification is greatly helpful for controlling the noise, vibration and sound vibration roughness. The existing simulation analysis lacks analysis related to the micro-modification manufacturing precision of the gear, and the simulation analysis result ignores the influence of the manufacturing tolerance on the meshing of the actual gear, so that the actual transmission error of the gear has certain deviation with the simulation design nominal transmission error.
Disclosure of Invention
The invention aims to provide a gear parameter tolerance sensitivity analysis method, a gear parameter tolerance sensitivity analysis system, a gear parameter tolerance sensitivity tester and a storage medium, which can show the sensitivity degree of gear microscopic modification parameter tolerance on the influence of transmission errors.
In order to realize the purpose, the following technical scheme is provided:
in a first aspect, the invention provides a method for analyzing tolerance sensitivity of gear parameters, comprising the following steps:
s1, obtaining gear microscopic shaping parameter tolerance data samples of two gears meshed with each other;
s2, obtaining the variance ratio of the tolerance of the microscopic modification parameters of each gear by a Monte Carlo method;
s3, obtaining tolerance influence transmission error weight coefficients of the microscopic shape modification parameter tolerances of the gears;
s4, obtaining gear microscopic modification parameter tolerance sensitivity coefficients of various gear microscopic modification parameter tolerances;
and S5, analyzing the sensitivity degree of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
Furthermore, the two gears which are meshed with each other respectively comprise a working tooth surface and a non-working tooth surface, the gear micro-modification parameters of the working tooth surface and the non-working tooth surface respectively comprise a tooth-direction modification drum shape quantity, a tooth profile shape deviation, a tooth profile modification drum shape quantity, a helix angle shape deviation, an addendum modification edge quantity and an effective addendum circle diameter minimum value, and the j-th gear micro-modification parameter of the ith tooth surface of the two gears which are meshed with each other is recorded as V ij The gear microscopic modification parameter tolerance of the working tooth surface and the non-working tooth surface respectively comprises tooth direction modification drum shape tolerance, tooth profile shape deviation tolerance, tooth profile modification drum shape tolerance, spiral angle shape deviation tolerance, tooth top modification margin tolerance and effective tooth top circle diameter minimum tolerance, and the j-th gear microscopic modification parameter tolerance of the ith tooth surface of two gears which are meshed with each other is recorded as T ij Wherein i is less than or equal to 4, j is less than or equal to 6, and i and j are positive integers.
Further, gear microscopic modification parameter tolerances of a plurality of pairs of two gears meshed with each other are selected as data samples, the data samples accord with normal distribution, and the mean value of the data samples is defined
Figure BDA0003652576800000022
Defining a standard deviation sigma of the data sample for a jth gear micro-profile parameter nominal value of an ith tooth surface ij Is the standard deviation of the micro-profile parameters of the jth gear of the ith tooth surface.
Further, under the same working condition, a control variable method is applied to calculate a transmission error result TE under a single tolerance ij
Further, the error result TE will be passed on ij Error TE in transmission with nominal gear 0 Is determined by the maximum of the absolute value of the differenceDefined as the maximum transfer error TE under a single tolerance ij max ,TE ij max =|TE ij -TE 0 | max (ii) a Tolerance-affected transfer error weight factor Q ij Defined as the maximum transfer error TE under a single tolerance ij max Maximum transfer error TE to a single tolerance ij max The ratio of the sum of the two,
Figure BDA0003652576800000021
tolerance-affected transfer error weight factor Q ij The larger the tolerance, the greater the effect of the tolerance on the transfer error results, and the smaller the coefficient, the smaller the effect of the tolerance on the transfer error results.
Further, the transfer error of all the tolerances under the comprehensive influence of a single working condition is calculated to be TE through a Monte Carlo method General assembly (ii) a The tolerance sensitivity coefficient S of the gear microscopic modification parameter is defined as a tolerance transfer error TE General assembly The transmission error TE of the nominal gear under the nominal value of the gear micro-modification parameter 0 The absolute value of the difference and the nominal gear transmission error TE under the nominal value of the gear micro-modification parameter 0 The ratio of (a) to (b),
Figure BDA0003652576800000031
when the tolerance sensitivity coefficient S of the gear microscopic modification parameter is 0, the transmission error of the tolerance influence is insensitive; when S is 0.5, the tolerance influence transmission error is sensitive; when S is 1, it means that the tolerance influence transfer error is very sensitive.
In a second aspect, the present invention further provides a gear parameter tolerance sensitivity analysis system for implementing the gear parameter tolerance sensitivity analysis method described above, including:
the first calculation module is used for acquiring gear microscopic modification parameter tolerance data samples of two gears which are meshed with each other;
the second calculation module is used for acquiring the variance ratio of the tolerance of the microscopic shape modification parameters of each gear by a Monte Carlo method;
the third calculation module is used for obtaining tolerance influence transmission error weight coefficients of the tolerance of the microscopic shape modification parameters of each gear;
the fourth calculation module is used for acquiring the gear microscopic modification parameter tolerance sensitivity coefficient of each gear microscopic modification parameter tolerance;
and the fifth calculation module is used for analyzing the sensitivity of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
In a third aspect, the present invention also provides a test apparatus, comprising:
one or more processors;
storage means for storing one or more programs;
when executed by the one or more processors, cause the one or more processors to implement the gear parameter tolerance sensitivity analysis method as described above.
In a fourth aspect, the present invention also provides a computer readable storage medium having stored thereon a computer program which, when executed by a processor, implements the gear parameter tolerance sensitivity analysis method as described above.
Compared with the prior art, the gear parameter tolerance sensitivity analysis method, the gear parameter tolerance sensitivity analysis system, the gear parameter tolerance sensitivity analysis tester and the storage medium provided by the invention are suitable for the electric drive system reducer of the pure electric vehicle. The method considers the influence of the gear microcosmic shape modification manufacturing tolerance on the gear microcosmic shape modification quantity, defines the evaluation index of the influence of the gear microcosmic shape modification parameter on the transmission error, evaluates the influence of the manufacturing tolerance on the actual gear meshing transmission error, shows the sensitivity of the gear microcosmic shape modification parameter tolerance on the transmission error, reduces the deviation of the actual transmission error of the gear and the simulation design nominal transmission error, and improves the accuracy of a simulation analysis result.
Drawings
FIG. 1 is a flowchart of a method for analyzing tolerance sensitivity of gear parameters according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a tester provided in the third embodiment of the present invention.
Detailed Description
In order to make the technical problems solved, technical solutions adopted and technical effects achieved by the present invention clearer, the technical solutions of the embodiments of the present invention will be described in further detail below with reference to the accompanying drawings, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Example one
Fig. 1 is a flowchart of a method for analyzing tolerance sensitivity of a gear parameter according to this embodiment, and as shown in fig. 1, the method for analyzing tolerance sensitivity of a gear parameter includes the following steps:
s1, obtaining gear microscopic shaping parameter tolerance data samples of two gears meshed with each other;
s2, obtaining the variance ratio of the tolerance of the microscopic modification parameters of each gear by a Monte Carlo method;
s3, obtaining tolerance influence transmission error weight coefficients of the microscopic shape modification parameter tolerances of the gears;
s4, obtaining gear microscopic modification parameter tolerance sensitivity coefficients of various gear microscopic modification parameter tolerances;
and S5, analyzing the sensitivity degree of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
Further, two gears meshed with each other are respectively wrappedThe method comprises the steps of including a working tooth surface and a non-working tooth surface, wherein gear micro-modification parameters of the working tooth surface and the non-working tooth surface respectively include tooth direction modification drum shape quantity, tooth profile shape deviation, tooth profile modification drum shape quantity, helical angle shape deviation, addendum modification edge quantity and effective addendum circle diameter minimum value, the gear tooth surface number is 4, the gear micro-modification parameters are 6, gear micro-modification parameter permutation combinations of two mutually meshed gears are 24, and the j gear micro-modification parameter of the ith tooth surface of the two mutually meshed gears is recorded as V ij The gear microscopic modification parameter tolerance of the working tooth surface and the non-working tooth surface respectively comprises tooth direction modification drum shape tolerance, tooth profile shape deviation tolerance, tooth profile modification drum shape tolerance, spiral angle shape deviation tolerance, tooth top modification margin tolerance and effective tooth top diameter minimum value tolerance, the gear tooth surface number is 4, the gear microscopic modification parameter tolerance is 6, the gear microscopic modification parameter tolerance of two meshed gears is 24, the gear microscopic modification parameter tolerance of the ith tooth surface of the two meshed gears is recorded as T ij Wherein i is less than or equal to 4, j is less than or equal to 6, and i and j are positive integers.
Further, gear microscopic modification parameter tolerances of a plurality of pairs of two gears meshed with each other are selected as data samples, the data samples are enough and meet statistical rules, namely the data samples accord with normal distribution, and the mean value of the data samples is defined
Figure BDA0003652576800000062
Defining a standard deviation sigma of the data sample for a jth gear micro-profile parameter nominal value of an ith tooth surface ij Is the standard deviation of the micro-profile parameters of the jth gear of the ith tooth surface. Typically, a standard deviation of 6 σ covers 99.73% of the samples, so the standard deviation is equal to Tolerance/3, example: the axial trim drum tolerance of the drive gears in the intermeshing gears is +/-6, thus defining a standard deviation of 6/3-2.
Furthermore, under the same working condition, a single gear microcosmic modification parameter is regarded as a variable, and a control variable method is applied to calculate a transmission error result TE under a single tolerance ij
Further, the error result TE will be passed on ij Error TE in transmission with nominal gear 0 Is defined as the maximum transfer error TE at a single tolerance ij max ,TE ij max =|TE ij -TE 0 | max (ii) a Tolerance-affected transfer error weight factor Q ij Defined as the maximum transfer error TE under a single tolerance ij max Maximum transfer error TE to a single tolerance ij max The ratio of the sum of the two,
Figure BDA0003652576800000061
tolerance-affected transfer error weight factor Q ij The larger the tolerance, the greater the effect of the tolerance on the transfer error results, and the smaller the coefficient, the smaller the effect of the tolerance on the transfer error results.
Further, the transfer error of all the tolerances under the comprehensive influence of a single working condition is calculated to be TE through a Monte Carlo method General assembly (ii) a The tolerance sensitivity coefficient S of the gear microscopic modification parameter is defined as a tolerance transfer error TE General assembly The transmission error TE of the nominal gear under the nominal value of the gear micro-modification parameter 0 The absolute value of the difference and the nominal gear transmission error TE under the nominal value of the gear micro-modification parameter 0 The ratio of (a) to (b),
Figure BDA0003652576800000071
when the tolerance sensitivity coefficient S of the gear microscopic shape modification parameter is 0, the transmission error is insensitive due to the influence of tolerance; when S is 0.5, the tolerance influence transmission error is sensitive; when S is 1, it means that the tolerance influence transfer error is very sensitive.
The method for analyzing the sensitivity of the gear parameter tolerance provided by the embodiment considers the influence of the gear microscopic modification manufacturing tolerance on the gear microscopic modification amount, defines the evaluation index of the gear microscopic modification parameter influence transmission error, evaluates the influence of the manufacturing tolerance on the actual gear meshing transmission error, shows the sensitivity of the gear microscopic modification parameter tolerance on the transmission error, reduces the deviation of the gear actual transmission error and the simulation design nominal transmission error, and improves the accuracy of the simulation analysis result.
Example two
The embodiment provides a gear parameter tolerance sensitivity analysis system which is applicable to an electric drive system reducer of a pure electric automobile. The gear parameter tolerance sensitivity analysis system provided by the embodiment of the invention can execute the gear parameter tolerance sensitivity analysis method provided by the embodiment of the invention, and has corresponding functional modules and beneficial effects of the execution method.
The gear parameter tolerance sensitivity analysis system comprises:
the first calculation module is used for acquiring gear microscopic modification parameter tolerance data samples of two gears which are meshed with each other;
the second calculation module is used for acquiring the variance ratio of the tolerance of the microscopic shape modification parameters of each gear by a Monte Carlo method;
the third calculation module is used for acquiring tolerance influence transfer error weight coefficients of the tolerance of the microscopic shape modification parameters of the gears;
the fourth calculation module is used for acquiring the gear microscopic modification parameter tolerance sensitivity coefficient of each gear microscopic modification parameter tolerance;
and the fifth calculation module is used for analyzing the sensitivity of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
The gear parameter tolerance sensitivity analysis system provided by the embodiment considers the influence of the gear microscopic modification manufacturing tolerance on the gear microscopic modification amount, defines the evaluation index of the gear microscopic modification parameter influence transmission error, evaluates the influence of the manufacturing tolerance on the actual gear meshing transmission error, shows the sensitivity degree of the gear microscopic modification parameter tolerance on the transmission error, reduces the deviation of the gear actual transmission error and the simulation design nominal transmission error, and improves the accuracy of the simulation analysis result.
EXAMPLE III
Fig. 2 is a schematic structural diagram of the tester in this embodiment. FIG. 2 illustrates a block diagram of an exemplary test meter 412 suitable for use in implementing embodiments of the present invention. The tester 412 shown in fig. 2 is only an example and should not impose any limitation on the functionality and scope of use of embodiments of the present invention.
As shown in fig. 2, the tester 412 is in the form of a universal terminal. The components of the tester 412 may include, but are not limited to: a tester body (not shown), one or more processors 416, a memory device 428, and a bus 418 that connects the various system components (including the memory device 428 and the processors 416).
Bus 418 represents one or more of any of several types of bus structures, including a memory device bus or memory device controller, a peripheral bus, an accelerated graphics port, and a processor or local bus using any of a variety of bus architectures. By way of example, such architectures include, but are not limited to, Industry Standard Architecture (ISA) bus, Micro Channel Architecture (MAC) bus, enhanced ISA bus, Video Electronics Standards Association (VESA) local bus, and Peripheral Component Interconnect (PCI) bus.
Tester 412 typically includes a variety of computer system readable media. Such media can be any available media that can be accessed by the tester 412 and includes both volatile and nonvolatile media, removable and non-removable media.
Storage 428 may include computer system readable media in the form of volatile Memory, such as Random Access Memory (RAM) 430 and/or cache Memory 432. The tester 412 may further include other removable/non-removable, volatile/nonvolatile computer system storage media. By way of example only, storage system 434 may be used to read from and write to non-removable, nonvolatile magnetic media (not shown in FIG. 2, commonly referred to as a "hard drive"). Although not shown in FIG. 2, a magnetic disk drive for reading from and writing to a removable, nonvolatile magnetic disk (e.g., a "floppy disk") and an optical disk drive for reading from or writing to a removable, nonvolatile optical disk such as a Compact disk Read-Only Memory (CD-ROM), Digital Video disk Read-Only Memory (DVD-ROM) or other optical media may be provided. In these cases, each drive may be connected to bus 418 by one or more data media interfaces. Storage 428 may include at least one program product having a set (e.g., at least one) of program modules that are configured to carry out the functions of embodiments of the invention.
A program/utility 440 having a set (at least one) of program modules 442 may be stored, for instance, in storage 428, such program modules 442 including, but not limited to, an operating system, one or more application programs, other program modules, and program data, each of which examples or some combination thereof may comprise an implementation of a network environment. The program modules 442 generally perform the functions and/or methodologies of the described embodiments of the invention.
The tester 412 may also communicate with one or more external devices 414 (e.g., keyboard, pointing terminal, display 424, etc.), with one or more terminals that enable a user to interact with the tester 412, and/or with any terminals (e.g., network card, modem, etc.) that enable the tester 412 to communicate with one or more other computing terminals. Such communication may occur via input/output (I/O) interfaces 422. Also, the tester 412 may communicate with one or more networks (e.g., a Local Area Network (LAN), Wide Area Network (WAN), and/or a public Network, such as the internet) via the Network adapter 420. As shown in FIG. 2, the network adapter 420 communicates with the other modules of the tester 412 over a bus 418. It should be appreciated that although not shown in the figures, other hardware and/or software modules may be used in conjunction with the tester 412, including but not limited to: microcode, end drives, Redundant processors, external disk drive Arrays, RAID (Redundant Arrays of Independent Disks) systems, tape drives, and data backup storage systems, among others.
The processor 416 executes programs stored in the storage device 428 to perform various functional applications and data processing, such as implementing a method for tolerance sensitivity analysis of gear parameters provided by an embodiment of the present invention, the method comprising the steps of:
s1, obtaining gear microscopic shaping parameter tolerance data samples of two gears meshed with each other;
s2, obtaining the variance ratio of the tolerance of the microscopic modification parameters of each gear by a Monte Carlo method;
s3, obtaining tolerance influence transmission error weight coefficients of the microscopic shape modification parameter tolerances of the gears;
s4, obtaining gear microscopic modification parameter tolerance sensitivity coefficients of various gear microscopic modification parameter tolerances;
and S5, analyzing the sensitivity degree of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
Example four
The present embodiment provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, implements a gear parameter tolerance sensitivity analysis method as provided by an embodiment of the present invention, the method comprising the steps of:
s1, obtaining gear microscopic shaping parameter tolerance data samples of two gears meshed with each other;
s2, obtaining the variance ratio of the tolerance of the microscopic modification parameters of each gear by a Monte Carlo method;
s3, obtaining tolerance influence transmission error weight coefficients of the microscopic shape modification parameter tolerances of the gears;
s4, obtaining gear microscopic modification parameter tolerance sensitivity coefficients of various gear microscopic modification parameter tolerances;
and S5, analyzing the sensitivity degree of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
Computer storage media for embodiments of the invention may employ any combination of one or more computer-readable media. The computer readable medium may be a computer readable signal medium or a computer readable storage medium. A computer readable storage medium may be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination of the foregoing. More specific examples (a non-exhaustive list) of the computer readable storage medium would include the following: an electrical connection having one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In the context of this document, a computer readable storage medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device.
A computer readable signal medium may include a propagated data signal with computer readable program code embodied therein, for example, in baseband or as part of a carrier wave. Such a propagated data signal may take many forms, including, but not limited to, electro-magnetic, optical, or any suitable combination thereof. A computer readable signal medium may also be any computer readable medium that is not a computer readable storage medium and that can communicate, propagate, or transport a program for use by or in connection with an instruction execution system, apparatus, or device.
Program code embodied on a computer readable medium may be transmitted using any appropriate medium, including but not limited to wireless, wireline, optical fiber cable, RF, etc., or any suitable combination of the foregoing.
Computer program code for carrying out operations for aspects of the present invention may be written in any combination of one or more programming languages, including an object oriented programming language such as Java, Smalltalk, C + + or the like and conventional procedural programming languages, such as the "C" programming language or similar programming languages. The program code may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer or entirely on the remote computer or terminal. In the case of a remote computer, the remote computer may be connected to the user's computer through any type of network, including a Local Area Network (LAN) or a Wide Area Network (WAN), or the connection may be made to an external computer (for example, through the Internet using an Internet service provider).
It is to be noted that the foregoing is only illustrative of the preferred embodiments of the present invention and the technical principles employed. It will be understood by those skilled in the art that the present invention is not limited to the particular embodiments described herein, but is capable of various obvious changes, rearrangements and substitutions as will now become apparent to those skilled in the art without departing from the scope of the invention. Therefore, although the present invention has been described in greater detail by the above embodiments, the present invention is not limited to the above embodiments, and may include other equivalent embodiments without departing from the spirit of the present invention, and the scope of the present invention is determined by the scope of the appended claims.

Claims (10)

1. A method for analyzing tolerance sensitivity of gear parameters is characterized by comprising the following steps:
s1, obtaining gear microscopic shaping parameter tolerance data samples of two gears meshed with each other;
s2, obtaining the variance ratio of the tolerance of the microscopic modification parameters of each gear by a Monte Carlo method;
s3, obtaining tolerance influence transmission error weight coefficients of the microscopic shape modification parameter tolerances of the gears;
s4, obtaining gear microscopic modification parameter tolerance sensitivity coefficients of various gear microscopic modification parameter tolerances;
and S5, analyzing the sensitivity degree of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
2. The method of claim 1, wherein the two gears in mesh with each other comprise a gear wheel and a gear wheel, respectivelyThe gear micro-modification parameters of the working tooth surface and the non-working tooth surface respectively comprise tooth direction modification drum shape quantity, tooth profile shape deviation, tooth profile modification drum shape quantity, spiral angle shape deviation, addendum modification edge quantity and effective addendum diameter minimum value, and the j-th gear micro-modification parameter of the ith tooth surface of two gears which are meshed with each other is recorded as V ij The gear microscopic modification parameter tolerance of the working tooth surface and the non-working tooth surface respectively comprises tooth direction modification drum shape tolerance, tooth profile shape deviation tolerance, tooth profile modification drum shape tolerance, spiral angle shape deviation tolerance, tooth top modification margin tolerance and effective tooth top circle diameter minimum tolerance, and the j-th gear microscopic modification parameter tolerance of the ith tooth surface of two gears which are meshed with each other is recorded as T ij Wherein i is less than or equal to 4, j is less than or equal to 6, and i and j are positive integers.
3. The method of claim 2, wherein the gear microscopic modification parameter tolerance of a plurality of pairs of two gears meshed with each other is selected as a data sample, the data sample conforms to a normal distribution, and a mean value of the data sample is defined
Figure FDA0003652576790000011
Defining a standard deviation sigma of the data sample for a jth gear micro-profile parameter nominal value of an ith tooth surface ij Is the standard deviation of the micro-profile parameters of the jth gear of the ith tooth surface.
4. The method of claim 3, wherein the nominal gear transfer error TE at the nominal value of the gear micro-modification parameter under a single condition is calculated by the gear tooth simulation software 0
5. The method for analyzing the tolerance sensitivity of the gear parameters according to claim 4, wherein the transmission error result TE under a single tolerance is calculated by using a control variable method under the same working condition ij
6. The gear parameter tolerance sensitivity analysis method of claim 5, wherein:
will pass on the error result TE ij Error TE in transmission with nominal gear 0 Is defined as the maximum transfer error TE at a single tolerance ij max ,TE ij max =|TE ij -TE 0 | max
Tolerance-affected transfer error weight factor Q ij Defined as the maximum transfer error TE under a single tolerance ij max Maximum transfer error TE to a single tolerance ij max The ratio of the sum of the two or more,
Figure FDA0003652576790000021
tolerance-affected transfer error weight factor Q ij The larger the tolerance, the greater the effect of the tolerance on the transfer error results, and the smaller the coefficient, the smaller the effect of the tolerance on the transfer error results.
7. The gear parameter tolerance sensitivity analysis method of any one of claims 4-6, wherein:
calculating the transmission error of all tolerances under the comprehensive influence of single working condition into TE by a Monte Carlo method General assembly
The tolerance sensitivity coefficient S of the gear microscopic modification parameter is defined as a tolerance transfer error TE General assembly The transmission error TE of the nominal gear under the nominal value of the gear micro-modification parameter 0 The absolute value of the difference and the nominal gear transmission error TE under the nominal value of the gear micro-modification parameter 0 The ratio of (a) to (b),
Figure FDA0003652576790000022
when the tolerance sensitivity coefficient S of the gear microscopic modification parameter is 0, the transmission error of the tolerance influence is insensitive;
when S is 0.5, the tolerance influence transmission error is sensitive;
when S is 1, it means that the tolerance influence transfer error is very sensitive.
8. A gear parameter tolerance sensitivity analysis system for implementing the gear parameter tolerance sensitivity analysis method of any one of claims 1-7, comprising:
the first calculation module is used for acquiring gear microscopic modification parameter tolerance data samples of two gears which are meshed with each other;
the second calculation module is used for acquiring the variance ratio of the tolerance of the microscopic shape modification parameters of each gear by a Monte Carlo method;
the third calculation module is used for obtaining tolerance influence transmission error weight coefficients of the tolerance of the microscopic shape modification parameters of each gear;
the fourth calculation module is used for acquiring the gear microscopic modification parameter tolerance sensitivity coefficient of each gear microscopic modification parameter tolerance;
and the fifth calculation module is used for analyzing the sensitivity of the gear micro-modification parameter tolerance on the influence of the transmission error according to the tolerance influence transmission error weight coefficient and the gear micro-modification parameter tolerance sensitivity coefficient.
9. A test meter, the test meter comprising:
one or more processors;
storage means for storing one or more programs;
when executed by the one or more processors, cause the one or more processors to implement the gear parameter tolerance sensitivity analysis method of any of claims 1-7.
10. A computer-readable storage medium, on which a computer program is stored, which program, when being executed by a processor, carries out the gear parameter tolerance sensitivity analysis method according to any one of claims 1 to 7.
CN202210556763.9A 2022-05-19 2022-05-19 Gear parameter tolerance sensitivity analysis method, system, tester and storage medium Pending CN114880803A (en)

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