Design method, product, medium and equipment for rhombic-arranged buckling-restrained brace frame

Abstract

The invention discloses a design method, a product, a medium and equipment for a buckling-restrained brace frame arranged in a rhombus shape, and belongs to the technical field of civil engineering. The method comprises the steps that S1, mechanical parameters are solved, wherein axial force of two BRBs and counter force of a beam joint are solved; s2, determining a column node normal force balance condition based on the axial force of the BRB; s3, deriving a linear stiffness ratio: solving the linear stiffness ratio based on a column node normal force balance condition and the linear stiffness of the two BRBs; s4, structural analysis and model selection: performing BRB model selection according to the linear stiffness ratio, and determining product parameters through structural analysis; s5, yield force design is conducted, specifically, the cross section area of the core material energy consumption section is determined based on the BRB yield force condition, and then yield force design is achieved according to the linear stiffness relational expression and the comprehensive yield displacement, the ultimate bearing capacity and the ultimate displacement; and S6, determining a material combination according to a design result of S5. According to the invention, the adverse effect of the normal unbalanced force at the node of the buckling-restrained brace frame column arranged in the rhombus shape on the frame column can be eliminated.

Description

Technical Field

[0001] This invention belongs to the field of civil engineering technology, specifically relating to a design method, product, medium, and equipment for a rhomboid arrangement buckling-restrained brace frame. Background Technology

[0002] The Seismic Design Code for Buildings (GB50011) recommends A-frame, V-frame, and single-diagonal bracing arrangements, while discouraging the use of K-frame bracing. This is primarily because the nodes in a K-frame arrangement are located in the middle of the column, and the unbalanced normal forces caused by the bracing at these nodes can accelerate column failure. For ∧-frame and V-frame buckling-restrained bracing, the strain and stress in the tension and compression members are usually the same. Since buckling-restrained bracing (BRB) does not buckle under compression and thus ceases to function, the normal stress at the beam-joint can be canceled out, and the normal forces at the joint will naturally balance. The BRB only exerts an additional axial force on the beam. Therefore, the code considers that the vertical unbalanced forces caused by bracing buckling can be disregarded for frame beams connected to ∧-frame or V-frame bracing. On the other hand, when the BRBs are arranged in a rhomboid pattern (or double K-type pattern), the lateral displacement of the structure consists of both shear deformation and bending deformation. Therefore, the two upper ∧-shaped BRB1s have the same tensile and compressive deformation, and the two lower V-shaped BRB2s also have the same tensile and compressive deformation, but the strain and stress of BRB1 and BRB2 are different. The BRB deformation is symmetrical from left to right but asymmetrical from top to bottom, which leads to a more complex stress state at the column joints and the generation of unbalanced forces at the column joints. Therefore, eliminating the unbalanced forces in the normal direction at the joints of the K-type bracing arrangement is a key issue that needs to be addressed in the design of this type of structure. Summary of the Invention

[0003] The present invention aims to at least partially solve one of the technical problems in the aforementioned related technologies.

[0004] Therefore, the purpose of this invention is to provide a design method, product, medium, and equipment for a rhomboid buckling-restrained brace frame, which can eliminate the adverse effects of normal unbalanced forces at the column nodes of the rhomboid buckling-restrained brace frame structure on the frame columns, so as to promote the application of the rhomboid buckling-restrained brace frame structure.

[0005] The rhomboid arrangement buckling-restrained brace frame structure is a novel lateral force bracing structure. Geometrically, the nodes are fixed at the midpoint of the column, and every two BRBs form a K-shaped node with the column. This invention adjusts the axial stiffness of the upper and lower BRBs to ensure that BRB1 and BRB2 have the same axial internal force in structural analysis, and completes the matching design of the two products, BRB1 and BRB2. This ensures that the two BRB products not only have the same yield force, but also can deform in coordination and yield simultaneously, providing a design method for the engineering application of rhomboid arrangement buckling-restrained braces in building structural design.

[0006] To solve the above-mentioned technical problems, the present invention is implemented as follows:

[0007] This invention provides a design method for a rhomboid arrangement buckling-restrained brace frame, the method comprising:

[0008] S1. Setting and solving mechanical parameters: Solve for the axial forces F1 and F2 of BRB1 and BRB2 and the reaction force F3 at the beam joint;

[0009] S2. Determine the equilibrium condition of the normal force at the column node based on the axial force of BRB;

[0010] S3. Derivation of Linear Stiffness Ratio: Based on the equilibrium condition of the normal force at the column node and the linear stiffness of the two BRBs, the linear stiffness ratio R is calculated. k ;

[0011] S4. Structural Analysis and Selection: Based on the linear stiffness ratio R k Two BRBs were selected, and the product parameters were determined by structural analysis of the rhomboid arrangement buckling-restrained brace frame.

[0012] S5, BRB energy-dissipating core material and constraint sleeve design: Based on the condition that the two BRBs have the same yield force, the cross-sectional area of ​​the energy-dissipating section of the core material is determined. Then, according to the linear stiffness relationship, and by combining the yield displacement, ultimate bearing capacity and ultimate displacement of the two BRBs, the design of the energy-dissipating core material and constraint sleeve of the two BRBs is realized respectively.

[0013] S6. Based on the design results of S5, select different materials for combination.

[0014] In addition, the design method of the rhomboid arrangement buckling-restrained brace frame according to the present invention may also have the following additional technical features:

[0015] In some implementations, the process of determining the axial forces of BRB1 and BRB2 includes: based on the beam and column bending stiffness E1I1 and E2I2, beam span L, story height H, angle α between BRB and column, elastic modulus E of beam and column materials, equivalent sections A1 and A2 of BRB1 and BRB2, and horizontal force V, determining the axial forces F1 and F2 of BRB1 and BRB2 and the beam joint reaction force F3.

[0016] In some of these embodiments, the expressions for the axial forces F1 and F2 of BRB1 and BRB2 and the beam-node reaction force F3 are as follows:

[0017]

[0018] in,

[0019] δ 12 =δ21 =0,

[0020] In some of these implementations, the equilibrium condition for the normal force at the column node is F1 = F2.

[0021] In some of these implementations, the expression for the linear stiffness ratio is:

[0022]

[0023] Where E1I1 and E2I2 are the bending stiffnesses of the beam and column, respectively, a is the angle between BRB and the column, A is the equivalent section, E is the elastic modulus of the material, and L is the bending stiffness of the column. B This refers to the length of a single BRB axis.

[0024] In some implementations, the yield strength condition for the two BRBs is that the yield strengths of the two BRBs are equal.

[0025] In some of these implementations, the yield strength condition for the two BRBs is:

[0026] F y =η1f 1y A 1e =η2f 2y A 2e ;

[0027] Among them, F y For BRB yield strength, η1, f 1y A 1e and η2, f 2y A 2e The values ​​are the energy-dissipating core material strengthening coefficient, yield strength, and cross-sectional area for BRB1 and BRB2, respectively.

[0028] This invention also provides a computer program product, including a computer program that, when executed by a processor, implements the steps of the design method for a rhomboid arrangement buckling-restrained brace frame as described in any of the preceding embodiments.

[0029] This invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the design method for a rhomboid arrangement buckling-restrained brace frame as described in any of the preceding embodiments.

[0030] This invention also provides a computer device, including: 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 the design method for the rhomboid arrangement buckling-restrained brace as described in any of the preceding embodiments.

[0031] Compared with the prior art, the present invention has at least the following beneficial effects:

[0032] In this embodiment of the invention, the design method of the rhomboid arrangement buckling-restrained brace frame can eliminate the unbalanced normal force at the column node and solve the core technical pain point of the rhomboid arrangement: by deriving the linear stiffness ratio of BRB1 and BRB2, it is ensured that the axial forces of the two satisfy F1=F2, strictly following the balance condition of the normal force at the column node, fundamentally eliminating the unbalanced normal force at the column node in the rhomboid arrangement (double K type) buckling-restrained brace frame; this breakthrough solves the problem of premature failure of frame columns due to unbalanced force at the node in the K type arrangement in the prior art, enabling the safe application of the rhomboid arrangement buckling-restrained brace frame and expanding the range of choices for buckling-restrained brace (BRB) arrangement forms;

[0033] In this embodiment of the invention, the design method of the rhomboid arrangement buckling-restrained brace frame can improve the overall stability and seismic safety of the structure: by designing the linear stiffness ratio and matching the yield force (the yield forces of the two BRBs are equal), it is ensured that BRB1 and BRB2 deform in coordination and yield simultaneously during the stress process; under the action of horizontal loads such as earthquakes and wind vibrations, the two can participate in the lateral force resisting work simultaneously and dissipate energy together, avoiding the structural stress concentration caused by the overload or premature failure of a single support, significantly improving the lateral displacement resistance, overall stability and seismic safety of the frame structure, and reducing the risk of chain failure caused by local damage to the structure;

[0034] In this embodiment of the invention, the design method of the rhomboid arrangement buckling-restrained brace frame can optimize energy dissipation efficiency and reduce structural damage: since the yield forces of the two BRBs are the same and their deformation is coordinated, synchronous energy dissipation can be achieved under load, giving full play to the energy dissipation characteristics of the BRBs (absorbing energy through the yielding of the core material); compared with the problem of uneven support force and limited energy dissipation capacity in the traditional arrangement, this invention can consume external load energy more efficiently, reduce the internal forces and deformation of the main structure (beams and columns), and reduce the degree of damage to the structure caused by loads such as earthquakes.

[0035] Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. Attached Figure Description

[0036] Figure 1 This is a schematic diagram of a rhomboid arrangement buckling-restrained brace frame structure disclosed in one embodiment of the present invention;

[0037] Figure 2 This is a calculation model diagram of a rhomboid arrangement buckling-restrained brace frame structure disclosed in one embodiment of the present invention;

[0038] Figure 3 This is an internal force diagram of a rhomboid arrangement buckling-restrained brace frame structure disclosed in one embodiment of the present invention;

[0039] Figure 4 This is an axial structural diagram of a buckling-resistance support core material disclosed in an embodiment of the present invention. Detailed Implementation

[0040] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0041] The embodiments of the present invention will be described in detail below with reference to the accompanying drawings and specific examples and application scenarios.

[0042] In some embodiments of the present invention, by changing the stiffness of the upper and lower buckling-restrained braces in a rhomboid arrangement buckling-restrained brace frame, the unbalanced forces at the column nodes of the frame structure before the buckling-restrained braces yield are eliminated. The product design ensures that the BRBs have the same yield force, guaranteeing the balance of normal forces at the column nodes after the buckling-restrained braces yield. Simultaneously, two types of buckling-restrained braces are designed based on product parameters obtained from structural analysis, ensuring that the deformation performance of the two products matches each other. This design method provides a simple and feasible design calculation method for using rhomboid arrangements of buckling-restrained braces in structures. It features a clear concept, accurate calculations, and ease of application by engineering technicians, as well as the ability for software developers to programmatically design the calculations. It provides a design method for the engineering application of rhomboid arrangement buckling-restrained braces in building structural design.

[0043] In some embodiments of the present invention, a design method for a rhomboid arrangement buckling-restrained brace (BRB) frame is provided. At the column nodes of the rhomboid arrangement BRB frame structure, every two BRBs form a K-shaped node with the column. Structural analysis is used to obtain the axial stiffness ratio of the upper and lower BRBs when BRB1 and BRB2 have the same axial internal force, thereby completing the structural selection. By designing BRB products using a combination of multiple materials, it is ensured that the two BRBs have the same yield strength, achieving balance of the normal force at the column nodes after the buckling-restrained brace yields. Simultaneously, based on the product parameters obtained from the structural analysis, two types of buckling-restrained braces are designed to match the deformation and mechanical properties of the two BRB products in the rhomboid arrangement BRB frame. This ensures that the two BRB products not only have the same yield strength but also deform in a coordinated manner and yield simultaneously, maintaining balance of the normal force at the column nodes before and after the BRB yields.

[0044] This invention is achieved through the following technical solution: the design method for a rhomboid arrangement buckling-restrained brace frame includes the following:

[0045] (1) In a rhomboid arrangement of buckling-restrained braces, the flexural stiffnesses of the beam and column are E1I1 and E2I2, respectively; the beam span is L; the structural story height is H; and a is the angle between BRB and the column. The elastic modulus of the steel is E; the equivalent sections of BRB1 and BRB2 are A1 and A2, respectively (e.g., ...). Figure 1 and Figure 2 (As shown). Under the action of a horizontal force V from an earthquake or wind vibration, the axial forces generated by BRB1 and BRB2 are F1 and F2, respectively, and the reaction force at the beam joint is F3. Solve for F1, F2, and F3.

[0046] (2) Normal force equilibrium condition of column nodes in rhomboid buckling-restrained bracing structure (e.g.) Figure 3 As shown): F1 = F2.

[0047] (3) Assume that the length of each of the four BRB axes is L. B Then the linear stiffnesses of BRB1 and BRB2 are respectively K1 = EA1 / L B K2 = EA2 / L B In a rhomboid arrangement of buckling-restrained braces, the linear stiffness ratio of BRB1 and BRB2 is... Solving for R using the normal force equilibrium condition F1=F2, we obtain R. k The relationship between the inherent structural properties of beams and columns (E1I1, E2I2), beam span (L), and structural story height (H) is used to obtain the normal force equilibrium R. k value.

[0048] (4) Based on the determined R k After selecting BRB1 and BRB2, a structural analysis was performed on the rhomboid buckling-restrained brace frame to obtain the product parameters of BRB1 and BRB2.

[0049] (5) BRB1 and BRB2 have the same yield strength condition F y =η1f 1y A 1e =η2f 2y A 2e Thus, the cross-sectional area A of the energy-dissipating section of the BRB1 and BRB2 core materials is determined. 1e and A 2e In the formula f y η and η represent the yield strength and material overstrength coefficient of the BRB core energy-dissipating steel, respectively; further considering all parameters such as the linear stiffness, yield displacement, ultimate bearing capacity, and ultimate displacement of BRB1 and BRB2, the design of the two products is further completed (e.g., ...). Figure 4 (As shown).

[0050] (6) The energy-consuming sections of BRB1 and BRB2 core materials and the elastic connection sections can be made of a variety of materials such as LY100, LY160, LY195, LY225, Q235, Q355, Q390 to meet the structural requirements for matching the performance of BRB1 and BRB2.

[0051] Example 1:

[0052] This embodiment provides a design method for a rhomboid arrangement buckling-restrained brace frame, the steps of which include:

[0053] (1) The rhomboid arrangement buckling-restrained bracing structure is a symmetrical structure and anti-symmetrically subjected to forces (e.g., Figure 1 This can be simplified to a semi-structural stress analysis (e.g.) Figure 2 Let the bending stiffnesses of the beam and column be E1I1 and E2I2, respectively; the beam span be L; the structural story height be H; α be the angle between BRB and the column; the elastic modulus of the steel be E; the equivalent section be A; and the axial tensile and compressive stiffnesses of BRB1 and BRB2 be EA1 and EA2, respectively. Under the action of a horizontal force V from an earthquake or wind-induced vibration, the axial forces generated by BRB1 and BRB2 are F1 and F2, respectively, and the reaction force at the beam joint is F3; δ is the stiffness coefficient, representing the displacement generated by a unit load in the corresponding direction, and Δ represents the displacement generated by the structure in the corresponding direction under external load. The mechanical equations obtained according to the force method are:

[0054]

[0055] δ 12 =δ 21 =0

[0056]

[0057]

[0058] Solving for F1, F2, and F3, we get:

[0059]

[0060] (2) Balance condition of normal force at column node of rhomboid buckling-restrained bracing structure: F1 = F2.

[0061] (3) Assume that the length of each of the four BRB axes is L. B Then the linear stiffnesses of BRB1 and BRB2 are respectively K1 = EA1 / L B K2 = EA2 / L B In a rhomboid arrangement of buckling-restrained braces, the linear stiffness ratio of BRB1 and BRB2 is... Solving for R using F1 = F2, we obtain R. k The value is:

[0062]

[0063] (4) Based on the determined R k After completing the selection of BRB1 and BRB2, a structural analysis was performed on the rhomboid arrangement buckling-restrained brace frame to obtain the product parameters of BRB1 and BRB2.

[0064] (5) BRB1 and BRB2 have the same yield strength F y =η1f 1y A 1e =η2f 2y A 2e The cross-sectional areas of the energy-consuming sections of BRB1 and BRB2 core materials are A, respectively. 1e =F y / η1f 1y A 2e =F y / η2f 2y At the same time, according to the linear stiffness relationship... In the formula A j For the equivalent area of ​​the connecting segment, L j By taking into account the length of the connecting section, and then considering all parameters such as yield displacement, ultimate bearing capacity, and ultimate displacement, the design of the two products can be completed.

[0065] (6) The energy-consuming sections of BRB1 and BRB2 core materials and the elastic connection sections can be made of a variety of materials such as LY100, LY160, LY195, LY225, Q235, Q355, Q390 to meet the structural requirements for matching the performance of BRB1 and BRB2.

[0066] Any part of this invention not described in detail can be referred to in the prior art or in the art known to those skilled in the art. This embodiment does not limit such part and will not describe it in detail here.

[0067] The embodiments of the present invention have been described above with reference to the accompanying drawings. However, the present invention is not limited to the specific embodiments described above. The specific embodiments described above are merely illustrative and not restrictive. Those skilled in the art can make many other forms under the guidance of the present invention without departing from the spirit and scope of the claims, and all of these forms are within the protection scope of the present invention.

Claims

1. A design method for a rhomboid arrangement buckling-restrained brace frame, characterized in that, The method includes: S1. Solving for mechanical parameters: Solve for the axial forces F1 and F2 of BRB1 and BRB2 and the reaction force F3 at the beam joints; S2. Determine the equilibrium condition of the normal force at the column node based on the axial force of BRB; S3. Derivation of Linear Stiffness Ratio: Based on the equilibrium condition of the normal force at the column node and the linear stiffness of the two BRBs, the linear stiffness ratio R is calculated. k ; S4. Structural Analysis and Selection: Based on the linear stiffness ratio R k Two BRBs were selected, and the product parameters were determined by structural analysis of the rhomboid arrangement buckling-restrained brace frame. S5, BRB energy-dissipating core material and constraint sleeve design: Based on the condition that the two BRBs have the same yield force, the cross-sectional area of ​​the energy-dissipating section of the core material is determined. Then, according to the linear stiffness relationship, and by combining the yield displacement, ultimate bearing capacity and ultimate displacement of the two BRBs, the design of the energy-dissipating core material and constraint sleeve of the two BRBs is realized respectively. S6. Based on the design results of S5, select different materials for combination.

2. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 1, characterized in that, The process of determining the axial forces of BRB1 and BRB2 includes: based on the beam and column bending stiffness E1I1 and E2I2, beam span L, story height H, angle α between BRB and column, elastic modulus E of beam and column materials, equivalent sections A1 and A2 of BRB1 and BRB2, and horizontal force V, determining the axial forces F1 and F2 of BRB1 and BRB2 and the beam joint reaction force F3.

3. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 2, characterized in that, The expressions for the axial forces F1 and F2 of BRB1 and BRB2 and the reaction force F3 at the beam joint are as follows: in, d 12 =d 21 =0, 4. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 1, characterized in that, The equilibrium condition for the normal forces at the column node is F1 = F2.

5. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 1, characterized in that, The expression for solving the linear stiffness ratio is: Where E1I1 and E2I2 are the bending stiffnesses of the beam and column, respectively, a is the angle between BRB and the column, A is the equivalent section, E is the elastic modulus of the material, and L is the bending stiffness of the column. B This refers to the length of a single BRB axis.

6. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 1, characterized in that, The yield strength condition for two BRBs is that the yield strengths of the two BRBs are equal.

7. The design method of the rhomboid arrangement buckling-restrained brace frame according to claim 6, characterized in that, The yield strength condition for two BRBs is: F y =η1f 1y A 1e =η2f 2y A 2ε ; Among them, F y For BRB yield strength, η1, f 1y A 1ε and η2, f 2y A 2ε The values ​​are the energy-dissipating core material strengthening coefficient, yield strength, and cross-sectional area for BRB1 and BRB2, respectively.

8. A computer program product, comprising a computer program, characterized in that, When executed by a processor, the computer program implements the steps of the design method for the rhomboid arrangement buckling-restrained brace frame as described in any one of claims 1-7.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of the design method for the rhomboid arrangement buckling-restrained brace frame as described in any one of claims 1-7.

10. 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 the steps of the design method for the rhomboid arrangement buckling-restrained brace frame according to any one of claims 1-7.

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