CN112836269A - Method for splicing nuclear reactor fuel assembly anti-seismic analysis modeling substructure types - Google Patents
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Abstract
The invention particularly relates to a method for splicing nuclear reactor fuel assembly anti-seismic analysis modeling substructure types, which is characterized by comprising the following steps of: step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively; step 2, dividing the types of the two types of combined units into a model for simulating each component of the component capable of generating transverse vibration and a coaming for simulating and calculating the outer side of the component; step 3, designing the two types of combined unit models in the step 2 in a combined mode; step 4, randomly selecting a combined unit model type substructure according to the number of the components, and splicing the combined unit model type substructure to form an integral whole structure; and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
Description
Technical Field
The invention belongs to the field of novel energy power production, relates to the field of nuclear reaction fuel assembly anti-seismic design analysis, and particularly relates to a method for splicing nuclear reactor fuel assembly anti-seismic analysis modeling substructure types.
Background
The nuclear energy is used as clean, efficient and safe green energy, has the advantages of abundant reserves, high energy intensity, low carbon and no pollution, and is greatly valued by various countries. The complete independent research and development of the nuclear power technology are realized, and complete basic theory research is required to support the technology. The method aims at the basic theoretical problem in a nuclear power structure, particularly the basic mechanical problem, researches are carried out, and a nuclear power design technology is reserved according to the basic theoretical problem, so that the method is important for the independent design and development of a new-generation reactor.
Fuel assemblies are important components within the reactor. Design criteria for pressurized water reactor fuel assemblies require: under extreme accident conditions, such as earthquakes and coolant loss conditions, the fuel assemblies should maintain structural integrity to ensure that the reactor core can be cooled; lateral deformation of the fuel assembly should not affect the insertion of the control rod assembly and safe shutdown of the reactor. The structural dynamics of the fuel assembly under normal operation and accident conditions will therefore affect the structural integrity of the fuel assembly and directly affect the safety and reliability of the reactor operation. The safety of the reactor fuel assembly under the accident condition is already listed as a key safety examination project by various countries, and each nuclear energy design mechanism needs to be provided with corresponding independently developed computing software. The safety assessment method for the accident condition of the fuel assembly mainly comprises two aspects of calculation analysis and experimental verification, wherein the two aspects supplement each other to support each other. The transverse calculation analysis plays an important role in the whole design stage, and can provide required calculation data support for the design and modification of the fuel assembly model. At present, the computational analysis of the fuel assembly is mainly performed by means of special software and commercial software, and the main computational models can be divided into: the method comprises the following steps of transversely detailed models, transversely simplified models, transversely collision models and seismic calculation analysis models of a row of multiple fuel assemblies, which are hereinafter referred to as assembly seismic models, and is shown in FIG. 1. The efficiency of the computational analysis of the seismic model is strongly dependent on the way the components are modeled.
At present, the component anti-seismic model is mainly obtained by arranging a plurality of components in a row in sequence. The components are mutually coupled by the boundary conditions of the upper and lower pipe seats and the enclosing plate and the nonlinear impact force. The finite element method is adopted to carry out 'full structure' type dispersion on all 15 components, and as shown in figure 2, a motion differential equation system of the system is obtained by applying boundary conditions. And (3) considering equivalent external excitation under extreme working conditions such as earthquake and the like, applying system damping by adopting proportional damping or modal damping, and solving the differential equation set through direct integration to obtain the response of the system. Because the system contains strong nonlinear links such as collision, the convergence of the result can be ensured only by adopting a smaller calculation time step to carry out inner and outer alternative iterative solution, which obviously takes the cost of the calculation efficiency as a price.
At present, the anti-seismic component model mainly adopts a fussy 'full structure' modeling method, and the modeling method has the following obvious defects and shortcomings:
firstly, the self-similarity characteristic of the fuel assembly structure is not considered in the modeling mode of the 'full structure', the modeling process is complex, and the modeling cost is high;
secondly, the modeling mode of the 'full structure' can cause the problems of low solving efficiency and low calculation precision of high-dimensional strong nonlinearity;
and thirdly, the modeling mode of the 'full structure' needs to establish models of all structures at one time, is not suitable for the calculation of complex working conditions, and has low calculation efficiency under the complex working conditions.
Disclosure of Invention
Aiming at the problems of complex modeling process, low modeling efficiency, poor applicability, and poor calculation efficiency and calculation accuracy caused by neglecting self-similarity characteristics of the component structure and generally adopting a full-structure modeling mode in the prior art, the invention fully utilizes local characteristics of the component structure, develops a substructure-type modeling strategy, and provides a new modeling method for nuclear reactor fuel component seismic analysis.
The invention provides a method for splicing nuclear reactor fuel assembly anti-seismic analysis modeling substructure types, which is characterized by comprising the following steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: the beam unit model and the nonlinear elastic unit model are formed by combining a linear elastic unit and a gap unit.
The second type of combined unit model comprises: a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; a fluid mass cell model is appended.
The substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element model comprises a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering a shearing effect and an axially deformed finite element beam model.
The spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
The nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node, and the nonlinear spring unit model has the functions of the linear spring unit and the gap unit at the same time.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The coefficients are externally input coefficients, are not calculated inside the program, but are read and used for generating the fluid unit, and are calculated by other software.
The detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
……
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
The invention has the beneficial effects that:
1. the invention adopts a sub-structure type modeling mode, so that the calculation amount can be greatly reduced, and the calculation efficiency can be improved.
2. The modeling mode of the invention considers the self-similarity characteristic of the fuel assembly of the structural office, the modeling process is simple, and the modeling cost is low.
3. The invention can not cause the problem of solving efficiency of high-dimensional strong nonlinearity, improves the solving efficiency and increases the calculation precision.
4. The method does not need to establish models of all structures at one time, is suitable for calculation under complex working conditions, and has high calculation efficiency under the complex working conditions.
Drawings
FIG. 1 is a schematic diagram of a pressurized water reactor and in-reactor fuel assemblies;
FIG. 2 is a schematic diagram of a fuel assembly transverse arrangement model established by a full structure modeling manner;
FIG. 3 is a schematic diagram of two types of basic sub-structural units- -combination type;
FIG. 4 is a schematic diagram of finite element derivation classes;
FIG. 5 is a schematic diagram of the force transfer between the various substructures;
FIG. 6 is a schematic diagram of the manner of stitching between the various substructures;
FIG. 7 is a flow chart of an iterative format of AND estimation correction between substructure vibrations.
The specific implementation mode is as follows:
example 1:
a method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types, comprising the steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: a two-dimensional Euler Bernoulli beam finite element model, a finite element beam model considering a shearing effect, and a finite element beam model deforming in the axial direction; a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; linear elastic cell model, additional fluid mass cell model.
The second type of combined unit model comprises a nonlinear elastic unit model, a second type of combined unit model and a third type of combined unit model, wherein the nonlinear elastic unit model is formed by combining linear elastic units and gap units; a fluid mass cell model is appended.
The substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element includes a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering shear effect, and an axially deformed finite element beam model.
The spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
The nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node; the nonlinear spring element model may function as both a linear spring element and a gap element.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The coefficients are externally input coefficients, are not calculated inside the program, but are read and used for generating the fluid unit, and are calculated by other software.
The detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
……
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
Example 2:
the variation of the calculated quantities is illustrated below by way of example of a modeling of a system with n components, each component having m degrees of freedom.
When a full-structure modeling mode is adopted, the established equation is
The dimensions of the matrices M, C, K are all (M × n) × (M × n); and the amount of calculation to solve the equation is
T0＝(m×n)×(m×n)
When adopting the substructure modeling, n substructure equations need to be established,
……
at this time, the matrix Ms,Cs,KsAre all (m × m), and the whole equation to be solved is calculated as
T＝(m×m)
Comparison of two calculated quantities
T/T0＝1/n
Therefore, the solving calculation amount is only 1/n of the modeling calculation of the 'full structure' by adopting the existing 'substructure' modeling mode. When a component earthquake-resistant engineering calculation model containing 15 components is built, the calculation amount of the 'substructure' formula is only 1/15 of the original formula. The same hardware calculation shows that the calculation time of the "substructure" formula is also 1/15. Therefore, the adoption of the sub-structure modeling mode can greatly reduce the calculation amount and improve the calculation efficiency.
Example 3:
a method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types, comprising the steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: a two-dimensional Euler Bernoulli beam finite element model, a finite element beam model considering a shearing effect, and a finite element beam model deforming in the axial direction; a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; linear elastic cell model, additional fluid mass cell model.
The second type of combined unit model comprises: a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; a fluid mass cell model is appended.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element includes a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering shear effect, and an axially deformed finite element beam model.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The coefficients are externally input coefficients, are not calculated inside the program, but are read and used for generating the fluid unit, and are calculated by other software.
The detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
……
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
Example 4:
a method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types, comprising the steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: a two-dimensional Euler Bernoulli beam finite element model, a finite element beam model considering a shearing effect, and a finite element beam model deforming in the axial direction; a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; linear elastic cell model, additional fluid mass cell model.
The second type of combined unit model comprises: a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; a fluid mass cell model is appended.
The substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element includes a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering shear effect, and an axially deformed finite element beam model.
The spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
The nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node; the nonlinear spring element model may function as both a linear spring element and a gap element.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
……
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
Example 5:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: a two-dimensional Euler Bernoulli beam finite element model, a finite element beam model considering a shearing effect, and a finite element beam model deforming in the axial direction; a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; linear elastic cell model, additional fluid mass cell model.
The second type of combined unit model comprises: a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; a fluid mass cell model is appended.
The substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element includes a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering shear effect, and an axially deformed finite element beam model.
The spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
The nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node; the nonlinear spring element model may function as both a linear spring element and a gap element.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The coefficients are externally input coefficients, are not calculated inside the program, but are read and used for generating the fluid unit, and are calculated by other software.
Example 6:
a method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types, comprising the steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
The first type composite unit model comprises: a two-dimensional Euler Bernoulli beam finite element model, a finite element beam model considering a shearing effect, and a finite element beam model deforming in the axial direction; a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; linear elastic cell model, additional fluid mass cell model.
The second type of combined unit model comprises a nonlinear elastic unit model, a second type of combined unit model and a third type of combined unit model, wherein the nonlinear elastic unit model is formed by combining linear elastic units and gap units; a fluid mass cell model is appended.
The substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
The model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
The beam element includes a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering shear effect, and an axially deformed finite element beam model.
The spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
The nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node; the nonlinear spring element model may function as both a linear spring element and a gap element.
The additional fluid mass cell model includes a fluid additional mass influence coefficient.
The coefficients are externally input coefficients, are not calculated inside the program, but are read and used for generating the fluid unit, and are calculated by other software.
The detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
……
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
Claims (10)
1. A method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types, comprising the steps of:
step 1, summarizing the characteristics of component modeling, combing two repeated types of basic substructures, and developing two corresponding types of combined unit types aiming at the two types of structures respectively;
step 2, dividing the two types of combination unit types involved in the step 1 into a first type of combination unit finite element model for simulating each component model of the component capable of generating transverse vibration and a second type of combination unit finite element model for simulating and calculating a coaming outside the component;
step 3, designing a combination mode of the first-type combination unit model and the second-type combination unit model in the step 2;
step 4, randomly selecting substructures of the first type of combination unit model and the second type of combination unit model according to the number of the components, and splicing the substructures to form an integral whole structure;
and 5, splicing and coupling the sub-structures in the step 4 into a whole in a mode of common-node force transmission to complete modeling of the nuclear reactor fuel assembly anti-seismic analysis.
2. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 1, characterized in that: the first type composite unit model comprises: the beam unit model and the nonlinear elastic unit model are formed by combining a linear elastic unit and a gap unit.
3. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 1, characterized in that: the second type of combined unit model comprises: a nonlinear elastic cell model composed of a linear elastic cell and a gap cell; a fluid mass cell model is appended.
4. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 1, characterized in that: the substructure types include a structure for fixing enclosing plates which cannot generate transverse vibration and a structure for generating single assembly which can generate transverse vibration.
5. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 3, characterized in that: the model base parameters of the beam element model, the spring element model, the nonlinear spring element model and the additional fluid mass element can be modified as required.
6. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 3, characterized in that: the beam element model comprises a two-dimensional Euler Bernoulli finite element beam model, a finite element beam model considering a shearing effect and an axially deformed finite element beam model.
7. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 3, characterized in that: the spring unit is a linear spring unit model constrained by a linear spring, and is characterized in that the linear spring unit is used for constraining the displacement of two adjacent nodes.
8. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 3, characterized in that: the nonlinear spring unit is formed by coupling and combining a linear spring unit model and a gap unit model by means of displacement of end node, and the nonlinear spring unit model has the functions of the linear spring unit and the gap unit at the same time.
9. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 3, characterized in that: the additional fluid mass cell model includes a fluid additional mass influence coefficient.
10. The method for splicing nuclear reactor fuel assembly seismic analysis modeling substructure types according to claim 1, characterized in that: the detailed steps in the step 5 are as follows: obtaining vibration equations of a plurality of single assemblies by adopting substructure modeling, wherein the vibration equations comprise the following steps:
the equations are coupled by means of nonlinear force at the right end, and a coupling iterative solution format is constructed according to the force coupling and the estimation correction format.
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