A method, device, equipment, medium and product for simulating opening and closing behavior of a self-resetting structure

Abstract

The application discloses a self-resetting structure opening and closing behavior simulation method and device, equipment, medium and product, and relates to the field of structural engineering and anti-seismic technology. The method first discretizes the self-resetting structure into multiple regions, establishes an equivalent model of each region, obtains multiple units and multiple nodes, sets a constitutive model of each unit, establishes a control equation of each node by using a vector finite element method, and simulates the opening and closing behavior of the self-resetting structure by using a vector finite element linking unit based on the constitutive model of each unit and the control equation of each node. The application applies the vector finite element linking unit to describe the node opening and closing behavior of the beam-column connecting region, can efficiently simulate the node opening and closing behavior of the self-resetting structure, significantly improves the calculation precision and stability, and is suitable for the design and analysis of the self-resetting structure in seismic engineering.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of structural engineering and anti-seismic technology, and in particular, to a simulation method, device, equipment, medium and product for the opening and closing behavior of a self-centering structure. BACKGROUND

[0002] In the field of civil engineering anti-seismic, the traditional reinforced concrete structure will produce residual deformation that is difficult to repair after an earthquake, resulting in loss of structural function, high maintenance cost, and even the need for demolition and reconstruction, which poses a serious threat to people's life and property safety. To address this serious challenge, self-centering structures that can significantly reduce residual damage and improve post-earthquake structural toughness have emerged, and are considered an important development direction for future high-performance anti-seismic structures.

[0003] However, the promotion and development of self-centering structures are highly dependent on numerical simulation techniques that can accurately predict their mechanical behavior. The key to their effectiveness lies in a series of highly nonlinear complex behaviors such as rocking, opening and closing at the nodes, and activation of energy dissipation devices. Although the finite element method has been widely used in structural analysis, traditional methods face bottlenecks when simulating such problems. These methods often struggle to accurately capture the contact, large deformation, and nonlinear recovery characteristics of materials during the opening and closing process of the nodes, resulting in significant deviations between simulation results and experimental data. This deviation not only seriously affects the reliability of self-centering structure design, but also greatly restricts the optimization and innovation of new self-centering systems. SUMMARY

[0004] The purpose of the present application is to provide a simulation method, device, equipment, medium and product for the opening and closing behavior of a self-centering structure to improve the precision and stability of the simulation of the opening and closing behavior of the self-centering structure, and thus to be applicable to the design and analysis of self-centering structures in seismic engineering.

[0005] To achieve the above-mentioned purpose, the present application provides the following solutions.

[0006] In a first aspect, the present application provides a simulation method for the opening and closing behavior of a self-centering structure, the self-centering structure comprising a column and a beam connected to each other, prestressed tendons being provided outside the column and the beam, the simulation method comprising the following steps:

[0007] Discretizing the self-centering structure into multiple regions and establishing an equivalent model for each region to obtain a plurality of elements and a plurality of nodes;

[0008] Setting a constitutive model for each element;

[0009] Establishing a control equation for each node using a vector finite element method;

[0010] Based on the constitutive models of each element and the control equations of each node, the opening and closing behavior of the self-resetting structure is simulated using vector finite element linked elements.

[0011] Optionally, the self-resetting structure is discretized into multiple regions, and an equivalent model of each region is established to obtain multiple elements and multiple nodes, specifically including:

[0012] The self-resetting structure is divided into a beam-column connection area and an upper column area, a lower column area, a left beam area, and a right beam area connected to the beam-column connection area. Within the beam-column connection area, three main nodes and twelve secondary nodes are set; the three main nodes are designated as the first main node, the second main node, and the third main node, and the three main nodes and twelve secondary nodes are arranged in a [missing information - likely a configuration or structure]. The array arrangement is as follows: the first master node is located in the 2nd row and 1st column of the array; the second master node is located in the 2nd row and 3rd column of the array; the area where the second master node is located is the central node domain.

[0013] The beam-column connection area is modeled as a vector finite element link unit;

[0014] The mass of the vector finite element link unit is calculated according to the following formula:

[0015] ;

[0016] In the formula, For the mass of the vector finite element linking element, For the density of reinforced concrete, The width of the column, The height of the beam, The depth of the column;

[0017] The moment of inertia of the vector finite element link unit is calculated according to the following formula:

[0018] ;

[0019] in, The moment of inertia of the vector finite element linked unit;

[0020] The force integration on the first master node of the vector finite element link unit is defined by the following formula:

[0021] ;

[0022] In the formula, The tangential force is located at the first principal node of the vector finite element linked unit. The normal force on the first principal node of the vector finite element linked element. the tangential force on the left beam by the left upper corner steel, the normal force on the left beam by the left upper corner steel, the normal force on the left beam by the left upper corner steel, the tangential force on the left beam by the left lower corner steel, the normal force on the left beam by the left lower corner steel, the tangential force on the left beam by the central node field, the normal force on the left beam by the central node field, the moment on the left beam by the central node field;

[0023] the integration of forces on the second principal node of the vector finite element link unit is defined by the following formula:

[0024] ;

[0025] wherein, the tangential force on the second principal node of the vector finite element link unit, the normal force on the second principal node of the vector finite element link unit, the moment on the second principal node of the vector finite element link unit, the tangential force on the central node field by the left upper corner steel, the normal force on the central node field by the left upper corner steel, the tangential force on the central node field by the left lower corner steel, the normal force on the central node field by the left lower corner steel, the tangential force on the central node field by the right upper corner steel, the normal force on the central node field by the right upper corner steel, the tangential force on the central node field by the right lower corner steel, the normal force on the central node field by the right lower corner steel, the tangential force on the central node field by the left beam, the normal force on the central node field by the left beam, the tangential force on the central node field by the right beam, the normal force on the central node field by the right beam, the moment on the central node field by the left beam, the moment on the central node field by the right beam;

[0026] the integration of forces on the third principal node of the vector finite element link unit is defined by the following formula:

[0027] ;

[0028] wherein, a tangential force on the third principal node of the vectorial link element for the tangent force, a normal force on the third principal node of the vectorial link element for the normal force, a moment on the third principal node of the vectorial link element for the moment, a tangential force on the right beam by the right upper corner steel, a normal force on the right beam by the right upper corner steel, a tangential force on the right beam by the right lower corner steel, a normal force on the right beam by the right lower corner steel, a tangential force on the right beam by the central node field, a normal force on the right beam by the central node field, a moment on the right beam by the central node field;

[0029] the slave nodes of the vectorial link element have no mass and only serve to transfer forces;

[0030] the columns in the upper column region, the columns in the lower column region, the beams in the left beam region and the beams in the right beam region are all modeled as layered fiber elements;

[0031] the prestressed tendons in the upper column region, the prestressed tendons in the lower column region, the prestressed tendons in the left beam region and the prestressed tendons in the right beam region are all modeled as massless string elements.

[0032] Optionally, a constitutive model of each element is set, specifically including:

[0033] the concrete part in the vectorial link element is set as a Kent-Park model that is only subjected to compression, the steel part in the vectorial link element is set as a Menegotto-Pinto model, and the corner steel part in the vectorial link element is set as a tension-compression restoring force model;

[0034] the concrete part in the fiber element is set as a Kent-Park model, and the steel part in the fiber element is set as a Menegotto-Pinto model;

[0035] the string element is set as a double-fold line model.

[0036] Optionally, based on the constitutive model of each element and the control equation of each node, the vectorial link element is used to simulate the opening and closing behavior of the self-centering structure, specifically including:

[0037] based on the constitutive model of each element, the self-centering structure is simulated by finite element method to obtain the resultant force of each node at each time step;

[0038] Based on the resultant force of each node at each time step, the central difference method is used to solve the control equations of each node to obtain the displacement of each node at each time step.

[0039] Optionally, the governing equation is:

[0040] ;

[0041] in, For the first The quality matrix of the node, For the first The acceleration vector of the node, For the first The external force vector of the node, For the first The internal force vector of the node.

[0042] Alternatively, the formula for solving the governing equations of each node using the central difference method is as follows:

[0043] ;

[0044] in, For the first Node at the The displacement vector of the step. For the first The quality matrix of the node, For the first Node at the The resultant force vector of the step, For the first Node at the The displacement vector of the step. For the first Node at the The displacement vector of the step. For the first The virtual displacement vector of the node before its initial position. For the first The initial displacement vector of the node. For the first The initial velocity vector of the node. For the first The initial resultant force vector of the node. For time step, The structural damping coefficient is... , It is an intermediate variable.

[0045] Secondly, this application provides a device for simulating the opening and closing behavior of a self-resetting structure, wherein the device is applied to the above-mentioned opening and closing behavior simulation method, and the device comprises:

[0046] a discrete modeling module, configured to discretize the self-centering structure into a plurality of regions, and establish an equivalent model of each region to obtain a plurality of units and a plurality of nodes;

[0047] a constitutive model setting module, configured to set a constitutive model of each unit;

[0048] a control equation establishing module, configured to establish a control equation of each node by using a vector form intrinsic finite element method;

[0049] a simulation module, configured to simulate an opening and closing behavior of the self-centering structure by using a vector form intrinsic finite element link unit based on the constitutive model of each unit and the control equation of each node.

[0050] In a third aspect, the present application provides a computer device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, and the processor executes the computer program to implement the opening and closing behavior simulation method of the self-centering structure.

[0051] In a fourth aspect, the present application provides a computer readable storage medium, which stores a computer program, and the computer program is executed by a processor to implement the opening and closing behavior simulation method of the self-centering structure.

[0052] In a fifth aspect, the present application provides a computer program product, comprising a computer program, and the computer program is executed by a processor to implement the opening and closing behavior simulation method of the self-centering structure.

[0053] According to the embodiments provided in the present application, the present application has the following technical effects.

[0054] The present application provides an opening and closing behavior simulation method, device, equipment, medium and product of a self-centering structure. The present application first discretizes the self-centering structure into a plurality of regions, and establishes an equivalent model of each region to obtain a plurality of units and a plurality of nodes; sets a constitutive model of each unit; establishes a control equation of each node by using a vector form intrinsic finite element method; and simulates an opening and closing behavior of the self-centering structure by using a vector form intrinsic finite element link unit (VFIFE-Link) based on the constitutive model of each unit and the control equation of each node. The present application applies the vector form intrinsic finite element link unit to describe the node opening and closing behavior of the beam-column connection region, can efficiently simulate the node opening and closing behavior of the self-centering structure, significantly improves the calculation precision and stability, and is suitable for the design and analysis of the self-centering structure in seismic engineering. BRIEF DESCRIPTION OF DRAWINGS

[0055] In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following will briefly introduce the drawings needed in the embodiments. Obviously, the drawings in the following description are only some embodiments of the present application, and for those skilled in the art, other drawings can also be obtained from these drawings without creative labor.

[0056] Figure 1 A schematic diagram of a self-resetting structure provided by an embodiment of the present application;

[0057] Figure 2 A schematic diagram of an equivalent model of a self-resetting structure provided by an embodiment of the present application;

[0058] Figure 3 A flowchart of a simulation method of opening and closing behavior of a self-resetting structure provided by an embodiment of the present application;

[0059] Figure 4 A schematic diagram of a simulation method of opening and closing behavior of a self-resetting structure provided by an embodiment of the present application;

[0060] Figure 5 A schematic diagram of a VL node provided by an embodiment of the present application;

[0061] Figure 6 A comparison diagram of simulation results and test data provided by an embodiment of the present application;

[0062] Figure 7 A schematic diagram of a computer device provided by an embodiment of the present application. DETAILED DESCRIPTION

[0063] The technical solutions in the embodiments of the present application will be described clearly and completely below with reference to the drawings in the embodiments of the present application. Obviously, the described embodiments are only some embodiments of the present application, not all embodiments. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative labor fall within the scope of protection of the present application.

[0064] The purpose of the embodiments of the present application is to overcome the defects of low calculation efficiency and insufficient precision of the traditional finite element method in simulating the high nonlinear behavior of a self-resetting structure in the prior art, and to provide a simulation method, device, equipment, medium and product of opening and closing behavior of a self-resetting structure, which aims to more accurately describe the opening and closing behavior of a beam-column joint by introducing a VL unit, and to ensure the accuracy of the model by test comparison and verification.

[0065] In order to overcome the defects in the above background art, a numerical analysis method capable of uniformly and accurately simulating the highly nonlinear behavior of a self-centering structure is developed, which has important theoretical significance and practical value for promoting the development and engineering application of the leading-edge anti-seismic technology.

[0066] In one exemplary embodiment, a method for simulating the opening and closing behavior of a self-centering structure is provided, which includes the following steps 101-104. Figure 3 and Figure 4

[0067] Step 101, discretize the self-centering structure into multiple regions, and establish an equivalent model for each region to obtain multiple elements and multiple nodes;

[0068] Step 102, set the constitutive model of each element;

[0069] Step 103, establish the control equation of each node using the vector finite element method;

[0070] Step 104, based on the constitutive model of each element and the control equation of each node, simulate the opening and closing behavior of the self-centering structure using the vector finite element linking element.

[0071] Implementing the above steps 101-104 can efficiently simulate the node opening and closing behavior of the self-centering structure, significantly improve the calculation accuracy and stability, and be suitable for the design and analysis of self-centering structures in seismic engineering.

[0072] In another exemplary embodiment, the specific implementation of the above step 101 is as follows.

[0073] First, as shown in Figure 1 , the self-centering structure includes a column, a left beam and a right beam, the left beam and the right beam are connected to the column through angle steels and rigid sleeves, and prestressed tendons are arranged in the left beam, the right beam and the steel sleeve. Define the numerical model according to the geometric information of the self-centering structure, including the node form, beam length, column height and cross-sectional width and height; define the material parameters of each component, including the compressive strength of concrete, the constraint coefficient, the elastic modulus of steel, the yield strength of steel, the elastic modulus of prestressed tendon, the yield strength of prestressed tendon and the initial tension.

[0074] Then, discretize the self-centering structure as shown in Figure 1 into nodes and elements, set the beams and columns as fiber elements, the prestressed tendons as wire elements, and the steel angles as spring elements, as shown in Figure 2 .

[0075] Then, integrate the forces of the vector finite element linking element (hereinafter referred to as VL element), all other elements connected to the VL element will integrate the forces to the 3 main nodes of the VL element, in the embodiment of the present application, as​Figure 2 As shown in the figure, the VL unit includes 15 nodes, including 3 master nodes and 12 slave nodes, the 3 master nodes are the first master node, the second master node and the third master node respectively, and the 3 master nodes and the 12 slave nodes are arranged in an array, the first master node is located at the 2nd row and the 1st column of the array, the second master node is located at the 2nd row and the 3rd column of the array, and the second master node is located at the 2nd row and the 5th column of the array; the area where the second master node is located is the central node domain.

[0076] As shown in the figure, the mass of the vector finite element link unit is calculated according to the following formula: Figure 5

[0077] ;

[0078] In the formula, m is the mass of the vector finite element link unit, ρ is the density of the reinforced concrete, b is the width of the column, h is the height of the beam, and d is the depth of the column.

[0079] The moment of inertia of the vector finite element link unit is calculated according to the following formula:

[0080] ;

[0081] In the formula, I is the moment of inertia of the vector finite element link unit. The integration of the force on the first master node of the vector finite element link unit is defined by the following formula:

[0082]

[0083] ;

[0084] In the formula, ft is the tangential force on the first master node of the vector finite element link unit, fn is the normal force on the first master node of the vector finite element link unit, M is the moment of the first master node of the vector finite element link unit, fTL is the tangential force of the left upper corner steel acting on the left beam, fnL is the normal force of the left upper corner steel acting on the left beam, fTR is the tangential force of the left lower corner steel acting on the left beam, fnR is the normal force of the left lower corner steel acting on the left beam, ftC is the tangential force of the central node domain acting on the left beam, fnC is the normal force of the central node domain acting on the left beam, and M C is the moment of the central node domain acting on the left beam. ​​​​​​​​​​​​​​​​​​

[0085] The integration of forces on the second master node of the vector finite element link unit is defined by the following formula:

[0086] ;

[0087] wherein, is the tangential force on the second master node of the vector finite element link unit, is the normal force on the second master node of the vector finite element link unit, is the moment on the second master node of the vector finite element link unit, is the tangential force of the left upper corner steel acting on the central node domain, is the normal force of the left upper corner steel acting on the central node domain, is the tangential force of the left lower corner steel acting on the central node domain, is the normal force of the left lower corner steel acting on the central node domain, is the tangential force of the right upper corner steel acting on the central node domain, is the normal force of the right upper corner steel acting on the central node domain, is the tangential force of the right lower corner steel acting on the central node domain, is the normal force of the right lower corner steel acting on the central node domain, is the tangential force of the left beam acting on the central node domain, is the normal force of the left beam acting on the central node domain, is the tangential force of the right beam acting on the central node domain, is the normal force of the right beam acting on the central node domain, is the moment of the left beam acting on the central node domain, is the moment of the right beam acting on the central node domain.

[0088] The integration of forces on the third master node of the vector finite element link unit is defined by the following formula:

[0089] ;

[0090] wherein, is the tangential force on the third master node of the vector finite element link unit, is the normal force on the third master node of the vector finite element link unit, is the moment on the third master node of the vector finite element link unit, is the tangential force of the right upper corner steel acting on the right beam, is the normal force of the right upper corner steel acting on the right beam, is the tangential force of the right lower corner steel acting on the right beam, is the normal force of the right lower corner steel acting on the right beam, the tangential force of the right beam acted by the central node domain, the normal force of the right beam acted by the central node domain, the moment of the right beam acted by the central node domain.

[0091] The slave node of the vector finite element link unit has no mass and only functions to transfer force.

[0092] In the embodiments of the present application, the VL unit can be combined with other units to adapt to different structural forms.

[0093] In another exemplary embodiment, the concrete part in the VL unit is set as a Kent-Park model under compression only, and the steel bar part in the VL unit is set as a Menegotto-Pinto model; the angle steel part in the VL unit is set as a tension-compression restoring force model.

[0094] The concrete part in the fiber unit is set as a Kent-Park model, and the steel bar part in the fiber unit is set as a Menegotto-Pinto model.

[0095] The prestressed tendon is set as a double-line model.

[0096] In another exemplary embodiment, in step 103, Figure 5 the structure is discretized into nodes and units; the total mass of the first node is determined according to the following formula: The total mass of the first node is determined according to the following formula:

[0097] ;

[0098] In the formula, m i is the mass of the i th unit connected to the i th node. k In the formula, m i is the mass of the i th unit connected to the i th node.

[0099] In the embodiments of the present application, the beam and the column are modeled as layered fiber units, the cross section is divided into several layers of fibers, including steel fiber and concrete fiber; the prestressed tendon is modeled as a massless fiber unit and is anchored at both ends of the beam; the beam and the column are connected with the VL unit. The boundary conditions are set as: the column bottom is fixed, and the beam end is free; the loading point is the column top, and the program uses displacement control loading.

[0100] The control equation of each node is determined based on the internal force vector and the external force vector. The motion of each node of the structure is described by a separate control equation, and the specific formula is as follows:

[0101] ;

[0102] In the formula, m i is the mass of the i th unit connected to the i th node. In the formula, m i is the mass of the i th unit connected to the i th node.​​ The quality matrix of the node, For the first The acceleration vector of the node, For the first The external force vector of the node, For the first The internal force vector of the node.

[0103] In another exemplary embodiment, step 104 described above can be replaced by steps 201 and 202.

[0104] Step 201: Based on the constitutive model of each element, perform finite element simulation on the self-resetting structure to obtain the resultant force of each node at each time step.

[0105] Step 202: Based on the resultant force of each node at each time step, the central difference method is used to solve the control equations of each node to obtain the displacement of each node at each time step.

[0106] The central difference method is based on replacing the derivative of displacement with respect to time with finite differences. The velocity is obtained by taking the first derivative of the displacement, and the acceleration is obtained by taking the second derivative. The central difference method can be used to solve the governing equations for each node, as detailed below.

[0107] ;

[0108] in, For the first Node at the The displacement vector of the step. For the first The quality matrix of the node, For the first Node at the The resultant force vector of the step, For the first Node at the The displacement vector of the step. For the first Node at the The displacement vector of the step. For the first The virtual displacement vector of the node before its initial position. For the first The initial displacement vector of the node. For the first The initial velocity vector of the node. For the first The initial resultant force vector of the node. For time step, The structural damping coefficient is... , It is an intermediate variable.

[0109] The entire calculation process is described as follows: First, the total calculation time is set. According to the Solving for the displacement, velocity, and acceleration of the nodes in the first step The displacement, velocity, and acceleration of the nodes in step 1 are calculated iteratively for all nodes; then, based on the displacement, velocity, and acceleration of the nodes in step 2, the calculation is repeated for all nodes. Step and the first Solving for the displacement, velocity, and acceleration of the nodes in the first step The displacement, velocity, and acceleration of each node are calculated iteratively for all nodes; the time step is incremented by 1; the calculation continues until the set calculation time is reached. Output the calculation result.

[0110] In another exemplary embodiment, to illustrate the effectiveness of the technical solution of this application, the accuracy of the simulation method of this application is verified through an experimental comparison and verification program. This comparison program can automatically calculate the displacement-time history curve, load-time history curve, and displacement-load curve of the simulation results, and automatically calculate evaluation indicators such as mean absolute error, root mean square error, root mean square error, and mean relative error. Figure 6 The figure shows a comparison between the results of vector finite element simulation and the experimental results. The comparison results show that the results of vector finite element simulation are in good agreement with the experimental results and can effectively simulate the self-resetting effect.

[0111] According to the specific embodiments provided in this application, this application has the following technical effects.

[0112] 1. This application combines the VFIFE method with VL elements to efficiently simulate the opening and closing behavior of self-resetting nodes, significantly improving the calculation accuracy and stability, and is suitable for the design and analysis of self-resetting structures in seismic engineering.

[0113] 2. The VL unit proposed in this application, by introducing master-slave nodes, more accurately describes the node opening and closing behavior of the self-resetting structure, and solves the problem of inaccurate prediction of node opening and closing by traditional models.

[0114] 3. This application uses an experimental comparison and verification procedure to ensure a high degree of agreement between the simulation results and the actual experimental data, providing a scientific basis for the reliability assessment of the self-resetting structure.

[0115] 4. This application is applicable to various node types and material combinations, has wide applicability, and can provide technical support for the design and optimization of self-resetting structures in the field of civil engineering.

[0116] Based on the same inventive concept, this application also provides a device for simulating the opening and closing behavior of a self-resetting structure to implement the above-described method for simulating the opening and closing behavior of a self-resetting structure. The solution provided by this device is similar to the solution described in the above method. Therefore, the specific limitations of one or more embodiments of the self-resetting structure opening and closing behavior simulation device provided below can be found in the limitations of the self-resetting structure opening and closing behavior simulation method described above, and will not be repeated here.

[0117] In one exemplary embodiment, a device for simulating the opening and closing behavior of a self-resetting structure is provided, comprising:

[0118] The discrete modeling module is used to discretize the self-resetting structure into multiple regions and establish an equivalent model for each region to obtain multiple elements and multiple nodes.

[0119] The constitutive model setting module is used to set the constitutive model of each element;

[0120] The control equation establishment module is used to establish the control equations for each node using the vector finite element method.

[0121] The simulation module is used to simulate the opening and closing behavior of the self-resetting structure based on the constitutive model of each element and the control equation of each node, using vector finite element linked elements.

[0122] In one exemplary embodiment, a computer device is provided, which may be a server or a terminal, and its internal structure diagram may be as follows. Figure 7 As shown, this computer device includes a processor, memory, input / output (I / O) interfaces, and a communication interface. The processor, memory, and I / O interfaces are connected via a system bus, and the communication interface is also connected to the system bus via the I / O interfaces. The processor provides computational and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system, computer programs, and databases. The internal memory provides the environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The I / O interfaces are used for exchanging information between the processor and external devices. The communication interface is used for communication with external terminals via a network connection. When the computer program is executed by the processor, it implements a method for simulating the opening and closing behavior of a self-resetting structure.

[0123] Those skilled in the art will understand that Figure 7The structures shown are merely block diagrams of some structures related to the present application and do not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than shown in the figures, or combine certain components, or have different component arrangements. In an exemplary embodiment, a computer device is provided, including a memory and a processor. The memory stores a computer program, and the processor executes the computer program to implement the steps in the above-described method embodiments.

[0124] In one exemplary embodiment, a computer-readable storage medium is provided storing a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0125] In one exemplary embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0126] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties.

[0127] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments described above. Any references to memory, databases, or other media used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM).

[0128] The databases involved in the embodiments provided in this application may include at least one type of relational database and non-relational database. Non-relational databases may include, but are not limited to, blockchain-based distributed databases. The processors involved in the embodiments provided in this application may be general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, etc., and are not limited to these.

[0129] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0130] This document uses specific examples to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the methods and core ideas of this application. Furthermore, those skilled in the art will recognize that, based on the ideas of this application, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this application.

Claims

1. A method for simulating the opening and closing behavior of a self-resetting structure, characterized in that, Includes the following steps: The self-resetting structure is discretized into multiple regions, and an equivalent model of each region is established to obtain multiple elements and multiple nodes; Set the constitutive model for each unit; The control equations for each node are established using the vector finite element method. Based on the constitutive model of each element and the control equation of each node, the opening and closing behavior of the self-resetting structure is simulated using vector finite element linked elements. The self-resetting structure is discretized into multiple regions, and an equivalent model is established for each region to obtain multiple elements and multiple nodes, specifically including: The self-resetting structure is divided into a beam-column connection area and an upper column area, a lower column area, a left beam area, and a right beam area connected to the beam-column connection area. Within the beam-column connection area, three main nodes and twelve secondary nodes are set; the three main nodes are designated as the first main node, the second main node, and the third main node, and the three main nodes and twelve secondary nodes are arranged in a [missing information - likely a configuration or structure]. The array arrangement is as follows: the first master node is located in the 2nd row and 1st column of the array; the second master node is located in the 2nd row and 3rd column of the array; the area where the second master node is located is the central node domain. The beam-column connection area is modeled as a vector finite element link unit; The mass of the vector finite element link unit is calculated according to the following formula: ； In the formula, For the mass of the vector finite element linking element, For the density of reinforced concrete, The width of the column, The height of the beam, The depth of the column; The moment of inertia of the vector finite element link unit is calculated according to the following formula: ； in, The moment of inertia of the vector finite element linked unit; The force integration on the first master node of the vector finite element link unit is defined by the following formula: ； In the formula, The tangential force is located at the first principal node of the vector finite element linked unit. The normal force on the first principal node of the vector finite element linked element. The torque on the first master node of the vector finite element link element. The tangential force exerted by the upper left corner steel on the left beam. The normal force exerted by the upper left corner steel on the left beam is... The tangential force exerted by the lower left corner steel on the left beam. The normal force exerted by the lower left corner steel on the left beam. The tangential force acting on the left beam from the central node domain. The normal force acting on the left beam from the central node domain. The moment acting on the left beam from the central node domain; The force integration on the second master node of the vector finite element link unit is defined by the following formula: ； In the formula, The tangential force is located at the second principal node of the vector finite element linked unit. The normal force on the second principal node of the vector finite element linked unit. The torque on the second principal node of the vector finite element link element. The tangential force exerted by the upper left corner steel on the central node domain. The normal force exerted by the upper left corner steel on the central node domain. The tangential force exerted by the lower left corner steel on the central node domain. The normal force exerted by the lower left corner steel on the central node domain. The tangential force exerted by the upper right corner steel on the central node domain. The normal force exerted by the upper right corner steel on the central node domain. The tangential force exerted by the lower right corner steel on the central node domain. The normal force exerted by the lower right corner steel on the central node domain. The tangential force acting on the left beam at the central node region. The normal force exerted by the left beam on the central node region. The tangential force acting on the right beam at the central node region is... The normal force acting on the right beam at the central node region. The torque exerted by the left beam on the central node region, Let be the moment exerted by the right beam on the central node region; The force integration on the third master node of the vector finite element link unit is defined by the following formula: ； In the formula, The tangential force is located at the third principal node of the vector finite element linked element. The normal force is located at the third principal node of the vector finite element linked element. The torque on the third principal node of the vector finite element link element. The tangential force exerted by the upper right corner steel on the right beam is... The normal force exerted by the upper right corner steel on the right beam is... The tangential force exerted by the lower right corner steel on the right beam is... The normal force exerted by the lower right corner steel on the right beam is... The tangential force acting on the right beam from the central node domain. The normal force acting on the right beam from the central node domain. The moment acting on the right beam from the central node domain; The slave nodes of the vector finite element link unit have no mass and only serve to transmit force. The columns in the upper column region, the columns in the lower column region, the beams in the left beam region, and the beams in the right beam region are all modeled as layered fiber elements. The prestressing tendons in the upper column region, the lower column region, the left beam region, and the right beam region are all modeled as massless cable elements.

2. The method for simulating the opening and closing behavior of a self-resetting structure according to claim 1, characterized in that, The constitutive model of each unit is set, specifically including: The concrete portion in the vector finite element linked unit is set as a Kent-Park model under compression only, the steel reinforcement portion in the vector finite element linked unit is set as a Menegotto-Pinto model, and the angle steel portion in the vector finite element linked unit is set as a tensile-compressive restoring force model. Set the concrete portion of the fiber element to the Kent-Park model; set the steel reinforcement portion of the fiber element to the Menegotto-Pinto model; Set the cable element as a bi-segmented line model.

3. The method for simulating the opening and closing behavior of a self-resetting structure according to claim 1, characterized in that, Based on the constitutive models of each element and the governing equations of each node, the opening and closing behavior of the self-resetting structure is simulated using vector finite element linked elements, specifically including: Based on the constitutive model of each element, a finite element simulation of the self-resetting structure is performed to obtain the resultant force of each node at each time step. Based on the resultant force of each node at each time step, the central difference method is used to solve the control equations of each node to obtain the displacement of each node at each time step.

4. The method for simulating the opening and closing behavior of a self-resetting structure according to claim 3, characterized in that, The governing equation is: ； in, For the first The quality matrix of the node, For the first The acceleration vector of the node, For the first The external force vector of the node, For the first The internal force vector of a node.

5. The method for simulating the opening and closing behavior of a self-resetting structure according to claim 3, characterized in that, The formula for solving the governing equations of each node using the central difference method is as follows: ； in, For the first Node at the The displacement vector of the step. For the first The quality matrix of the node, For the first Node at the The resultant force vector of the step, For the first Node at the The displacement vector of the step. For the first Node at the The displacement vector of the step. For the first The virtual displacement vector of the node before its initial position. For the first The initial displacement vector of the node. For the first The initial velocity vector of the node. For the first The initial resultant force vector of the node. For time step, The structural damping coefficient is... , It is an intermediate variable.

6. A device for simulating the opening and closing behavior of a self-resetting structure, characterized in that, The opening and closing behavior simulation device is applied to the opening and closing behavior simulation method according to any one of claims 1-5, and the opening and closing behavior simulation device comprises: The discrete modeling module is used to discretize the self-resetting structure into multiple regions and establish an equivalent model for each region to obtain multiple elements and multiple nodes. The constitutive model setting module is used to set the constitutive model of each element; The control equation establishment module is used to establish the control equations for each node using the vector finite element method. The simulation module is used to simulate the opening and closing behavior of the self-resetting structure based on the constitutive model of each element and the control equation of each node, using vector finite element linked elements.

7. A computer device, comprising: A memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that the processor executes the computer program to implement a method for simulating the opening and closing behavior of a self-resetting structure as described in any one of claims 1-5.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the method for simulating the opening and closing behavior of the self-resetting structure as described in any one of claims 1-5.

9. A computer program product, comprising a computer program, characterized in that, When executed by a processor, the computer program implements the method for simulating the opening and closing behavior of the self-resetting structure as described in any one of claims 1-5.

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