Evaluation method, device and medium for importance of plane frame structure members and joints
By calculating the comprehensive stiffness coefficient and energy flow network diagram of the nodes, quantifying the importance of the plane frame structure components and nodes, solving the problems of large amount of calculation and inefficient evaluation in the prior art, and achieving efficient quantitative evaluation of the importance of components and nodes, especially in the damaged state.
Patent Information
- Application Number
- CN202410813539.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-06-21
- Publication Date
- 2025-07-11
- Estimated Expiration
- 2044-06-21
AI Technical Summary
When evaluating the importance of planar frame structural components and nodes, the prior art has large calculations, inefficient evaluation, and cannot reasonably reflect the impact of local damage to the components, resulting in inaccurate structural safety assessment.
The node importance coefficient is determined by calculating the ratio of the node's comprehensive stiffness coefficient and the structural stiffness coefficient, and the energy distribution coefficient of the component is calculated using the structural energy flow network diagram, and the importance of the component and the node is quantified by combining the energy flow network diagram of the component and the node.
The importance of efficient and reasonable evaluation of components and nodes in intact elastic states and damaged elastic-plastic states is achieved, making up for the large amount of calculations and inefficient evaluation of existing methods, and can more accurately reflect the impact of local damage to components.
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Figure CN118709398B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of structural engineering, and particularly to a method, device and medium for evaluating the importance of plane frame structure members and nodes based on a structural energy flow network diagram. Background Art
[0002] A structure is a complex system composed of numerous members with different functions, such as beams, columns, plates, shear walls, etc. These members are connected through nodes to form an overall structure. During long-term use, the structure will be affected by many factors such as external loads, environmental erosion, material aging, and accidental events. These factors will cause damage to occur and gradually accumulate in the nodes or members of the structure, thereby reducing the bearing capacity of the structure. In extreme cases, the accumulation of these damages may cause the structure to fail, lose its bearing capacity, and cause catastrophic consequences. Therefore, it is crucial to timely understand the stress state of the structure during use and conduct safety evaluations. The evaluation of the importance of members and nodes is an important part of the overall safety assessment of the structure. In the existing methods for evaluating the importance of members, the methods based on reliability and risk sensitivity analysis have clear concepts, but the calculation process is complex and cannot be used for actual engineering structures; the method for evaluating the importance of members based on stiffness cannot reflect the influence of loads; the progressive collapse analysis method needs to remove members in sequence, and there are problems of large computational amount and low evaluation efficiency for complex structures with a large number of members and various types; the existing methods mainly simulate the damage existing in structural members by reducing the overall stiffness of the members, while in actual engineering structures, damage usually only occurs at local positions of the members. Therefore, there is an urgent need for a method that can efficiently and reasonably evaluate the importance of members and nodes in actual engineering structures to provide a reasonable basis for structural safety assessment. Summary of the Invention
[0003] The purpose of the present invention is to provide a method, device and medium for evaluating the importance of plane frame structure members and nodes, which can efficiently and reasonably quantify the importance of members and nodes in a plane frame structure in a sound elastic state and a damaged elastoplastic state.
[0004] To achieve the above purpose, the present invention provides the following solutions:
[0005] A method for evaluating the importance of plane frame structure members and nodes, the method comprising:
[0006] Calculating a node importance coefficient for each node in the plane frame structure to be evaluated according to the ratio of the comprehensive stiffness coefficient of each node in the plane frame structure to be evaluated to the structural stiffness coefficient; the connection position between members in the plane frame structure to be evaluated is a node; the comprehensive stiffness coefficient of the node is the product of the translational stiffness coefficients and the rotational stiffness coefficient in the x and y directions of the node;
[0007] Calculate the structural energy flow network diagram according to the energy of each component in the plane frame structure to be evaluated; the structural energy flow network diagram includes the structural energy flow network when the plane frame structure to be evaluated is in a sound elastic state and the structural energy flow network when it is in a damaged elastoplastic state;
[0008] Calculate the energy distribution coefficient of each component according to the end energy of each component and the flowing-through energy of each node in the structural energy flow network diagram;
[0009] Calculate the component importance coefficient of each component according to the energy distribution coefficient of each component and the importance coefficient of the corresponding node; the corresponding node refers to the node connected to the component.
[0010] A computer device, comprising: a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of a method for evaluating the importance of components of a plane frame structure described in the above item.
[0011] A computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, the steps of a method for evaluating the importance of components of a plane frame structure described above are implemented.
[0012] According to the specific embodiments provided by the present invention, the following technical effects are disclosed by the present invention:
[0013] The present invention provides a method, device and medium for evaluating the importance of components and nodes of a plane frame structure. Among them, the importance coefficient of a node is determined based on the ratio of the comprehensive stiffness coefficient of the node to the structural stiffness coefficient. Then, the energy distribution coefficient of a component is calculated using the structural energy flow network, and the node importance coefficient is distributed to the component using the energy distribution coefficient of the component to obtain the importance coefficient of each component. At the same time, when calculating the structural energy flow network diagram, it can be divided into the sound elastic state and the damaged elastoplastic state, and the importance distribution of components and nodes of the structure in the sound elastic state and the damaged elastoplastic state can be calculated respectively. The method of the present invention can efficiently and reasonably quantify the importance of components and nodes of a plane frame structure in the sound elastic state and the damaged elastoplastic state, and makes up for the shortcomings of the existing methods for evaluating the importance of components and nodes, such as large computational amount, low evaluation efficiency, inability to evaluate the importance of nodes and components at the same time, and inability to reasonably evaluate the importance of components in the case of local damage of components. Description of the Drawings
[0014] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the accompanying drawings required in the embodiments. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other accompanying drawings can also be obtained based on these drawings.
[0015] Figure 1 Schematic flow diagram of a method for evaluating the importance of planar frame structure members and nodes provided in Embodiment 1 of the present invention;
[0016] Figure 2 Schematic diagram of the energy of a member in a sound elastic state provided in Embodiment 1 of the present invention;
[0017] Figure 3 Schematic diagram of the energy flow of a member in a damaged elastoplastic state provided in Embodiment 1 of the present invention;
[0018] Figure 4 Schematic diagram of the bar end energy of the members connected to Node No. 6 provided in Embodiment 1 of the present invention;
[0019] Figure 5 Schematic diagram of the bar end energy of the members connected to Node No. 6 and Node No. 18 provided in Embodiment 1 of the present invention;
[0020] Figure 6 Schematic diagram of the cross-section parameters and load information of the frame structure provided in Embodiment 1 of the present invention;
[0021] Figure 7 Schematic diagram of the node importance coefficient in a sound elastic state provided in Embodiment 1 of the present invention;
[0022] Figure 8 Schematic diagram of the structure energy flow network diagram in a sound elastic state provided in Embodiment 1 of the present invention;
[0023] Figure 9 Schematic diagram of the member importance coefficient in a sound elastic state provided in Embodiment 1 of the present invention;
[0024] Figure 10 Schematic diagram of a plastic hinge simulating local damage of a member provided in Embodiment 1 of the present invention;
[0025] Figure 11 Schematic diagram of the node importance coefficient in a damaged elastoplastic state provided in Embodiment 1 of the present invention;
[0026] Figure 12 Schematic diagram of the structure energy flow network diagram in a damaged elastoplastic state provided in Embodiment 1 of the present invention;
[0027] Figure 13The schematic diagram of the importance coefficient of components in the damaged elastoplastic state provided by Embodiment 1 of the present invention;
[0028] Figure 14 It is the internal structure diagram of a computer device. Detailed implementation manners
[0029] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
[0030] The purpose of the present invention is to provide a method, device and medium for evaluating the importance of components and nodes in a planar frame structure, which can efficiently and reasonably quantify the importance of components and nodes in a planar frame structure in a sound elastic state and a damaged elastoplastic state.
[0031] To make the above objects, features and advantages of the present invention more obvious and understandable, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific implementation manners.
[0032] Embodiment 1
[0033] As Figure 1 shown, a method for evaluating the importance of components and nodes in a planar frame structure in this embodiment, the method is applicable to a planar frame structure, and includes:
[0034] S1: Calculate the node importance coefficient of each node according to the ratio of the comprehensive stiffness coefficient of each node in the plane frame structure to be evaluated to the structural stiffness coefficient; the connection position between components in the plane frame structure to be evaluated is a node; the comprehensive stiffness coefficient of the node is the product of the translational stiffness coefficients and the rotational stiffness coefficient in the x and y directions of the node.
[0035] Write the overall structural stiffness matrix K E in the form of an n×n block matrix, that is:
[0036]
[0037] In the formula, n is the number of nodes of the structure. The sub-matrix K Ekk located on the main diagonal in the formula is called the relevant stiffness matrix of node i k , K Ekk is a symmetric positive definite matrix, and its dimension is related to the number of degrees of freedom of the node.
[0038] Generally, for the K of a planar frame structure Ekkis a 3×3 matrix with three eigenvalues λ j (j = 1, ..., 3), and the characteristic equation of K Ekk can be expressed as:
[0039] det(K Ekk - λX k ) = 0 (1)
[0040] where X k is the eigenvector of the relevant stiffness matrix K k of node i Ekk .
[0041] Therefore, the determinant of K Ekk is equal to the product of all eigenvalues, that is
[0042] det(K Ekk ) = λ1·λ2·λ3 (2)
[0043] where the eigenvalues λ1, λ2 of K Ekk are the translational stiffness coefficients in the x and y directions of node i k , and λ3 is the rotational stiffness coefficient of node i k .
[0044] The comprehensive stiffness coefficient of the node is measured by the product of the stiffness coefficients in three directions of the node, and its calculation formula is:
[0045] I i = λ1·λ2·λ3 (3)
[0046] The calculation formula of the node importance coefficient is defined as:
[0047]
[0048] S2: Calculate the structure energy flow network diagram according to the energy of each component in the plane frame structure to be evaluated.
[0049] When the structure is subjected to environmental effects or external loads, damage may occur. The stress state of the damaged structure will be readjusted. Components that originally received less force may bear greater force, while components that originally bore greater force may bear less force. The importance distribution of components and nodes in the structure also changes accordingly. Therefore, it is necessary to consider the influence of damage on the importance of components and nodes. Therefore, in the present invention, the structure energy flow network diagram includes the structure energy flow network of the plane frame structure to be evaluated in a sound elastic state and the structure energy flow network of the plane frame structure to be evaluated in a damaged elastoplastic state.
[0050] (1) The structure is in a sound elastic state, and the work done by the external load is completely stored in the structure and converted into the strain energy of the structure. Its total strain energy U should be equal to the sum of the strain energies of all members. If the initial state strain energy of the structure before loading is zero, then the strain energy of the structure after loading is also equal to the work done by the external load, that is:
[0051]
[0052] Where: U g is the strain energy of member g; W ext is the work done by the external load on the structure; g represents each member.
[0053] The strain energy of member g is equal to the work done by the external load acting on it. As shown in Equation (6), the energy of member g is as Figure 2 shown:
[0054]
[0055] Where, is the work done by the non-joint load on the member, W i g and are the work done by the end forces of the member at both ends respectively.
[0056] The work done by the joint load on member g can be calculated according to Equation (7):
[0057]
[0058] Specifically, r i represents the end force vector of the end of member g connected to node i, d i represents the end displacement vector of the end of member g connected to node i; r j represents the end force vector of the end of member g connected to node j, d j represents the end displacement vector of the end of member g connected to node j.
[0059] The work done by the non-joint load on member g can be calculated according to Equation (8):
[0060]
[0061] Where, r F represents the fixed-end force vector of member g; the superscript T in r F,T represents transpose. d represents the end displacement vector of member g. represents the strain energy when both ends of member g are fixed and there is no displacement in any form.
[0062] When the structure is in a damaged elastoplastic state, concentrated plastic hinges are used to simulate the local damage existing in the members of the planar frame structure, and there is elastic strain energy U in the structure e and plastic dissipation energy U p , and the sum of these two energies is equal to the work done by the external force W. That is:
[0063] U e +U p =W (9)
[0064] The total energy of each member is equal to the work done by the external load acting on it. As shown in Equation (10), the energy flow of member g is as Figure 3 shown:
[0065]
[0066] In the formula, is the work done by the load at non-joint positions on member g in the damaged elastoplastic state; and are the work done by the end forces of member g at both ends in the damaged elastoplastic state respectively;
[0067] The elastic strain energy on member g can be calculated according to Equation (11):
[0068]
[0069] In the formula: σ is the elastic stress and ε is the elastic strain.
[0070] Here, a plastic hinge model is introduced to consider the damage occurring in the structural members. The plastic energy dissipation in the plastic hinge region at the damage position on member g can be calculated through the moment-curvature relationship, and the calculation formula can be calculated according to Equation (12):
[0071]
[0072] In the formula: M is the moment at the plastic hinge and φ is the curvature in the plastic hinge region.
[0073] The work done by the end forces of member g can be calculated through the relationship between the end forces and the end displacements, that is:
[0074]
[0075] In the formula, r i and r j respectively represent the end force vectors at both ends of member g in the damaged elastoplastic state; d i and d j respectively represent the end displacement vectors at both ends of member g in the damaged elastoplastic state;
[0076] The work done by the non-joint loads on member g can be calculated through the force-displacement relationship, i.e.:
[0077]
[0078] In the formula, Q ext represents the load vector at non-joint positions on member g in the damaged elastoplastic state; D ext represents the displacement vector at the position where the non-joint load acts on member g in the damaged elastoplastic state;
[0079] S3: Calculate the energy distribution coefficient of each member according to the end energy of each member and the flowing-through energy of each node in the structural energy flow network diagram.
[0080] The concept of the energy distribution coefficient is defined as follows. A node connects several members. In the structural energy flow network, each end of the member has end energy (input energy or output energy). The sum of the input energy (or output energy) is equal to the energy flowing through the node, which is the node energy. The energy distribution coefficient of each member is defined as half of the ratio of the end energy to the node energy. The sum of the energy distribution coefficients of each end of the same node should be equal to 1, i.e., Σμ = 1.
[0081]
[0082] In the formula, μ ig represents the distribution coefficient of one end of member g connected to node i; W i g represents the end energy of one end of member g connected to node i. When the member is in the damaged elastoplastic state, W i g takes the value of ; E i represents the flowing-through energy of node i.
[0083] As Figure 4 shown, taking node 6 as an example, it connects members 4, 5, 14, and 16. The energy distribution coefficients of each member are calculated as follows:
[0084] The energy distribution coefficient of one end of member 4 connected to node 6:
[0085]
[0086] The energy distribution coefficient of one end of member 5 connected to node 6:
[0087]
[0088] The energy distribution coefficient of one end of member 14 connected to node 6:
[0089]
[0090] The energy distribution coefficient of one end of member No. 18 connected to node No. 6:
[0091]
[0092] S4: Calculate the member importance coefficient of each member according to the energy distribution coefficient of each member and the importance coefficient of the corresponding node; the corresponding node refers to the node connected to the member.
[0093] The member importance coefficient is defined as the sum of the values of the importance coefficients of the nodes at both ends of the member distributed to the member, that is:
[0094]
[0095] In the formula, λ g represents the importance coefficient of member g; represents the node importance coefficient of node j in the plane frame structure to be evaluated; μ jg represents the energy distribution coefficient of one end of member g connected to node j.
[0096] As Figure 5 shown, taking member No. 18 as an example, the importance of nodes No. 6 and No. 10 is distributed, and the calculation process is as follows:
[0097]
[0098] The member importance coefficient of member No. 18:
[0099] Taking Figure 6 the three-span four-story plane frame structure shown as an example to illustrate the basic methods and steps for calculating the importance coefficients of members and nodes when the structure is in a sound elastic state. The member material in the structure is Q345 steel, and the section parameters and load information of the frame structure are as Figure 6 shown.
[0100] (1) Calculate the importance coefficients of each node: Calculate the importance coefficients of each node in the structure according to formula (4), and perform normalization processing on the importance degree of each node. The importance coefficient of each support node is defined as 0.1, and the importance coefficients of other nodes are The results are as Figure 7 shown.
[0101] (2) Calculate and draw the structure energy flow network diagram: Under the action of vertical concentrated loads on the frame structure, calculate the energy of each part of the member according to formula (6), and draw the structure energy flow network diagram. The results are as Figure 8 shown.
[0102] (3) Calculate the distribution coefficients of each bar end: Calculate the energy distribution coefficients of each bar end of each member according to formula (14).
[0103] (4) Allocate the node importance coefficients: Substitute the energy distribution coefficients and node importance coefficients calculated in steps (2) and (3) into formula (15).
[0104] (5) Calculate the importance coefficients of each member: Calculate the importance coefficients of each member in the structure according to formula (15), and the results are as Figure 9 shown.
[0105] Take Figure 6 the three-span four-story plane frame structure shown as an example to illustrate the basic methods and steps for calculating the importance coefficients of members and nodes when the structure is in the damaged elastoplastic state:
[0106] (1) Calculate the importance coefficients of each node: Calculate the importance coefficients of each node in the structure according to formula (4), normalize the importance degree of each node, define the importance coefficient of each support node as 0.1, and the importance coefficients of other nodes are The results are as Figure 11 shown.
[0107] (2) Calculate and draw the network diagram of the structural energy flow: Assume that there are multiple damages in the frame structure, and the distribution of plastic hinges is as Figure 10 shown. The black dots in the figure represent plastic hinges, and it enters the elastoplastic state under the action of vertical concentrated loads. Calculate the energy of each part of the member according to formula (10), and draw the network diagram of the structural energy flow. The results are as Figure 12 shown.
[0108] (3) Calculate the distribution coefficients of each bar end: Calculate the energy distribution coefficients of each bar end of each member according to formula (14).
[0109] (4) Allocate the node importance coefficients: Substitute the energy distribution coefficients and node importance coefficients calculated in steps (2) and (3) into formula (15).
[0110] (5) Calculate the importance coefficients of each member: Calculate the importance coefficients of each member in the structure according to formula (15), and the results are as Figure 13 shown.
[0111] In this implementation, a node importance evaluation method was established based on the comprehensive stiffness coefficient of the node, and then the energy distribution coefficient was calculated using the structural energy flow network. The node importance coefficient was distributed to the components using the energy distribution coefficient, and a component importance analysis method was established. At the same time, when calculating the structural energy flow network diagram, it can be divided into the intact elastic state and the damaged elastic-plastic state. The importance distribution of components and nodes in the intact elastic state and the damaged elastic-plastic state can be calculated respectively. The proposed method can efficiently and reasonably quantify the importance of components and nodes of plane frame structures in the intact elastic state and the damaged elastic-plastic state, making up for the shortcomings of existing component and node importance evaluation methods, which have large calculation amount, low evaluation efficiency, and cannot reasonably consider local damage of components.
[0112] Example 2
[0113] A computer device includes: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of a method for evaluating the importance of a planar frame structure component in Example 1.
[0114] Example 3
[0115] A computer-readable storage medium stores a computer program, which, when executed by a processor, implements the steps of a method for evaluating the importance of a planar frame structure component in Example 1.
[0116] Example 4
[0117] A computer program product includes a computer program, which, when executed by a processor, implements the steps of a method for evaluating the importance of a plane frame structure component in Example 1.
[0118] Example 5
[0119] A computer device, which may be a database, may have an internal structure as shown in Figure 14As shown in the figure. The computer device includes a processor, a memory, an input / output interface (Input / Output, abbreviated as I / O), and a communication interface. Among them, the processor, the memory, and the input / output interface are connected through a system bus, and the communication interface is connected to the system bus through the input / output interface. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The database of the computer device is used to store transactions to be processed. The input / output interface of the computer device is used to exchange information between the processor and external devices. The communication interface of the computer device is used to communicate with external terminals through a network connection. When the computer program is executed by the processor, it realizes a method for evaluating the importance of components of a planar frame structure in Embodiment 1.
[0120] It should be noted that the object information (including but not limited to object device information, object personal information, etc.) and data (including but not limited to data for analysis, stored data, displayed data, etc.) involved in the present invention are all information and data authorized by the object or fully authorized by all parties, and the collection, use, and processing of relevant data need to comply with the relevant laws, regulations, and standards of relevant countries and regions.
[0121] Those of ordinary skill in the art can understand that all or part of the processes in the methods of the above embodiments can be completed by computer programs to guide related hardware. The computer programs can be stored in a non-volatile computer-readable storage medium. When the computer programs are executed, they can include the processes of the embodiments of the above methods. Among them, any reference to a memory, database, or other medium used in the embodiments provided by the present invention can include at least one of non-volatile and volatile memories. Non-volatile memories can include read-only memory (ROM), magnetic tapes, floppy disks, flash memories, optical memories, high-density embedded non-volatile memories, resistive random access memories (ReRAM), magnetoresistive random access memories (MRAM), ferroelectric random access memories (FRAM), phase change memories (PCM), graphene memories, etc. Volatile memories can include random access memory (RAM) or external cache memories, etc. By way of illustration and not limitation, RAM can be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM), etc. The databases involved in the embodiments provided by the present invention can include at least one of relational databases and non-relational databases. Non-relational databases can include distributed databases based on blockchain, etc., without limitation. The processors involved in the embodiments provided by the present invention can be general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, data processing logics based on quantum computing, etc., without limitation.
[0122] The technical features of the above embodiments can be combined arbitrarily. For the sake of brevity of description, 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, it should be considered as the scope described in this specification.
[0123] Specific examples are used in this article to elaborate on the principles and implementation manners of the present invention. The descriptions of the above embodiments are only used to help understand the method and its core idea of the present invention; at the same time, for those of ordinary skill in the art, according to the idea of the present invention, there will be changes in the specific implementation manners and application scopes. In summary, the content of this specification should not be construed as a limitation to the present invention.
Claims
1. A method for evaluating the importance of planar frame structure components and joints, characterized in that, The method includes: Calculating the node importance coefficient of each node according to the ratio of the comprehensive stiffness coefficient of each node in the plane frame structure to be evaluated to the overall stiffness coefficient of the structure; the connection position between components in the plane frame structure to be evaluated is a node; the comprehensive stiffness coefficient of a node is the product of the translational stiffness coefficients and the rotational stiffness coefficient in the x and y directions of the node. Calculating the structure energy flow network diagram according to the energy of each component in the plane frame structure to be evaluated; the structure energy flow network diagram includes the structure energy flow network of the plane frame structure to be evaluated in a sound elastic state and the structure energy flow network in a damaged elastoplastic state. Calculating the energy distribution coefficient of each component according to the end energy of each component and the flowing-through energy of each node in the structure energy flow network diagram. Calculating the component importance coefficient of each component according to the energy distribution coefficient of each component and the node importance coefficient of the corresponding node; the corresponding node refers to the node connected to both ends of the component.
2. The evaluation method for the importance of a planar frame structure member and a node according to claim 1, characterized in that, The expression of the node importance coefficient of each node is: where I i = λ1·λ2·λ3; In the formula, represents the node importance coefficient of node i in the plane frame structure to be evaluated; I i represents the comprehensive stiffness coefficient of node i; λ1 and λ2 represent the translational stiffness coefficients of node i in the x and y directions; λ3 represents the rotational stiffness coefficient of node i.
3. The method for evaluating the importance of a planar frame structure member and a node according to claim 1, wherein In the structure energy flow network of the plane frame structure to be evaluated in a sound elastic state, the energy expression of each component is: Among them, Where, U g is the strain energy of member g; is the elastic strain energy of member g; is the work done by the loads at non-node points on member g during the elastic stage; and are the work done by the end forces of member g at both ends during the elastic stage, respectively; i and j refer to the nodes at both ends of member g; r i represents the end force vector at the end of member g connected to node i, d i represents the end displacement vector at the end of member g connected to node i; r j represents the end force vector at the end of member g connected to node j, d j represents the end displacement vector at the end of member g connected to node j; r F is the fixed-end force vector of member g; r F,T The subscript T in represents transpose; d represents the end displacement vector of member g; represents the strain energy when both ends of member g are fixed and there is no displacement in any form.
4. A method for evaluating the importance of a planar frame structure member and a node according to claim 1, characterized in that In the structure energy flow network of the plane frame structure to be evaluated in a damaged elastoplastic state, the damage of the components in the plane frame structure is simulated by plastic hinges, and the energy expression of the damaged component is: Among them, Where U g is the total strain energy of member g; is the elastic strain energy of member g; is the plastic dissipation energy at the damage location of member g; is the work done by the loads at non - nodal points on member g in the damaged elastoplastic state; and are the work done by the end - forces at both ends of member g in the damaged elastoplastic state respectively; i and j refer to the nodes at both ends of member g; Q ext represents the load vector at non - nodal points on member g in the damaged elastoplastic state; r i and r j are the end - force vectors at both ends of member g in the damaged elastoplastic state respectively; D ext represents the displacement vector at the location of non - nodal load action on member g in the damaged elastoplastic state; d i and d j are the end - displacement vectors at both ends of member g in the damaged elastoplastic state respectively; σ is the elastic stress of member g, ε is the elastic strain of member g; M is the bending moment at the plastic hinge at the damage location of member g, and φ is the curvature of the plastic hinge region at the damage location of member g.
5. A method for evaluating the importance of a planar frame structure member and a node according to claim 4, characterized in that, The expression of the energy distribution coefficient of each component is: where, μ ig represents the energy distribution coefficient of one end of member g connected to node i; represents the bar end energy of one end of member g connected to node i; when the member is in the damaged elastoplastic state, the value of is taken as the numerical value of i represents the flowing-through energy of node i.
6. The evaluation method for the importance of a planar frame structure member and a node according to claim 5, characterized in that The expression of the component importance coefficient of each component is: where λ g represents the importance coefficient of member g; represents the node importance coefficient of node i in the plane frame structure to be evaluated; represents the node importance coefficient of node j in the plane frame structure to be evaluated; μ jg represents the energy distribution coefficient of one end of member g connected to node j.
7. A computer device, comprising: A memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of a method for evaluating the importance of components and nodes of a plane frame structure according to any one of claims 1-6.
8. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, it implements the steps of a method for evaluating the importance of components and nodes of a plane frame structure according to any one of claims 1-6.
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