Method and system for optimally calculating stress and deformation of cable-stayed bridge based on segmentation method

By dividing the cable-stayed bridge structure into main beam system and bridge tower system, and using the segmentation method and elastic support simplification method, the problems of high complexity and numerical instability in traditional calculation methods are solved, and the multi-tower cable-stayed bridge is realized Efficient calculation and accurate deformation analysis ensure the safety and economicality of the structure.

CN119475534AInactive Publication Date: 2025-02-18CCCC HIGHWAY CONSULTANTS CO LTD +3
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Patent Information

Application Number
CN202510030389.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-08
Publication Date
2025-02-18
Estimated Expiration
Not applicable · inactive patent

AI Technical Summary

Technical Problem

The prior art faces the problems of high computational complexity and numerical instability in the stress and deformation calculation of cable-stayed bridges, especially in multi-tower cable-stayed bridges, which are difficult to effectively deal with by traditional stiffness matrix methods.

Method used

By dividing the structural system of the cable-stayed bridge into the main beam system and the bridge tower system, a mathematical model is established separately, and the segmentation calculation process is used to consider the stiffness transmission relationship between each system, and the cable is simplified into an elastic support. Accurately calculate the elastic bearing stiffness of the elastic bearing.

Benefits of technology

Efficient calculation and accurate deformation analysis of multi-tower cable-stayed bridges are realized, reducing the risk of computational complexity and numerical instability, and ensuring the safety and economicality of the structure.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention discloses a cable-stayed bridge stress and deformation optimization calculation method and system based on a segmentation method. The method comprises the steps that a main beam system model and a bridge tower system model are constructed; the inhaul cable is simplified into an elastic support, and the elastic supporting rigidity of the elastic support is calculated; selecting two independent initial parameters representing the internal force and deformation of the support; the stress and deformation of the tail end support are calculated according to the stress near the elastic support and the elastic supporting rigidity; according to the stress and deformation data of the tail end support and the boundary conditions of the tail end support, a binary primary simultaneous equation set about two independent initial parameters is established, the two independent initial parameters are solved and substituted into an internal force and deformation calculation formula of the two adjacent supports, and the internal force and deformation of each support are obtained; calculating the internal force of the bridge tower according to the internal force and deformation of each support; according to the method, efficient calculation and accurate deformation analysis of the multi-tower cable-stayed bridge are achieved by dividing the calculation process of the main beam system and the bridge tower system and considering the rigidity transfer relation between the systems.
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Description

Technical Field

[0001] The present invention belongs to the technical field of bridge engineering, and more specifically, relates to a method and system for optimizing the force and deformation calculation of a cable-stayed bridge based on a segmentation method. Background Art

[0002] As a hyperstatic structure, cable-stayed bridges are subjected to complex forces during the construction phase, with many system conversion processes and significant geometric nonlinear effects. It is necessary to ensure that the strength, stiffness and stability of the structure meet the requirements through force and deformation calculations to avoid unsafe events such as failure or collapse.

[0003] At present, the stiffness matrix method is widely used in the calculation of force and deformation of cable-stayed bridges, but this method still faces many challenges in the application of large bridges. First, due to the complex structural characteristics of cable-stayed bridges, the order of the stiffness matrix is ​​relatively high, making the matrix solution process cumbersome and computationally intensive. This computational load increases significantly with the increase of bridge span and the number of towers, resulting in a large amount of computing resources and time investment in the calculation process. In addition, when the bridge structure has a high degree of flexibility, the stiffness matrix may tend to a singular state, that is, close to an irreversible situation, which may cause numerical instability problems, thereby affecting the reliability and accuracy of the calculation results.

[0004] In the stress analysis of cable-stayed bridges, the interactions between bridge towers, main beams and cables are complex, often involving multiple constraints and complex boundary conditions. When dealing with such complex constraints, the stiffness matrix method usually requires a large number of matrix corrections and boundary condition processing, which further increases the complexity of the calculation. At the same time, in order to ensure the accuracy and rationality of the results, the stiffness matrix method has extremely high requirements for calculation accuracy, and may even need to use other numerical methods (such as penalty function method or Lagrange multiplier method) to strengthen the processing of boundary conditions. In addition, the stiffness matrix method relies on linear analysis assumptions and has poor adaptability to factors such as geometric nonlinearity, material nonlinearity, and system stiffness changes caused by cable force changes that are common in actual cable-stayed bridge structures. These nonlinear factors will cause the stiffness of the bridge structure to change under different load conditions, and the stiffness matrix method has limited ability to capture such changes, and usually needs to be supplemented by other numerical analysis methods (such as nonlinear finite element analysis) to better reflect the stress and deformation state of the actual bridge structure.

[0005] Therefore, there is an urgent need for a calculation method that can achieve efficient calculation and accurate deformation analysis of multi-tower cable-stayed bridges. Summary of the invention

[0006] In view of the above defects or improvement needs of the prior art, the present invention provides a method and system for optimizing the calculation of the force and deformation of a cable-stayed bridge based on the segmentation method. The method and system separately establish mathematical models of the main beam system and the bridge tower system, segment the calculation process of the main beam system and the bridge tower system, and consider the stiffness transfer relationship between the systems. The cables are simplified into elastic supports, and the tension of the cables is equivalent to the elastic support, so as to accurately calculate the elastic support stiffness of the elastic support. According to the support mode of the beam end support, two independent initial parameters characterizing the internal force and deformation of the support are selected from the deflection, rotation angle, shear force and bending moment of the support. According to the force near the elastic support and the elastic support stiffness, the internal force and deformation calculation formula of the two adjacent supports are calculated and obtained. The end support is calculated by the internal force and deformation calculation formula of the two adjacent supports. The invention relates to a method for calculating the stress and deformation of a cable-stayed bridge of a multi-tower type. ...

[0007] In order to achieve the above object, one aspect of the present invention provides a method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method, comprising the following steps: S1: Divide the structural system of the cable-stayed bridge into a main beam system and a bridge tower system; establish corresponding mathematical models for the main beam system and the bridge tower system, namely a main beam system model and a bridge tower system model; S2: In the main beam system model, the cable is simplified as an elastic support, the tension of the cable is equivalent to the elastic support, and the elastic support stiffness of the elastic support is calculated; S3: According to the support mode of the beam end support, two independent initial parameters characterizing the internal force and deformation of the support are selected from the deflection, rotation angle, shear force and bending moment of the support; according to the force near the elastic support and the elastic support stiffness, the internal force and deformation calculation formula of the two adjacent supports are calculated and obtained; the force and deformation of the end support are calculated by the internal force and deformation calculation formula of the two adjacent supports; according to the force and deformation data of the end support and the boundary conditions of the end support, a set of two-variable linear simultaneous equations about the two independent initial parameters is established, and the values ​​of the two independent initial parameters obtained by solving are substituted into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; S4: Calculate the internal force of the cable according to the internal force and deformation at each support and the distance between two supports; calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

[0008] Furthermore, the elastic support stiffness calculation in step S2 includes the calculation of the side tower cable support stiffness coefficient and the calculation of the non-side tower cable support stiffness coefficient.

[0009] Furthermore, the side tower cable support stiffness coefficient Calculated by formula (1): (1) in, for The angle between the cable and the main beam; for Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The No. cable corresponds to the area of ​​the back cable; for The anchor point of the No. 1 guy line is high; is the elastic modulus of the bridge tower; is the moment of inertia of the bridge tower; is the cable spacing; for The tensile stiffness of the cable is calculated by formula (2): (2) in, For the The elastic modulus of the cable; For the No. Cable area.

[0010] Furthermore, the non-side tower cable support stiffness coefficient in step S2 is Calculated by formula (3): (3) Where: For the The main beam stiffness on the cable side is calculated by formula (4): (4) For the The stiffness of the main beam on the back cable side corresponding to the No. cable is calculated by formula (5): (5) is the elastic modulus of the main beam; is the moment of inertia of the main beam; For the The distance between the main beam support and the main tower on the cable side; For the The distance between the anchorage of the cable main beam and the main tower; For the Cable No. corresponds to the distance between the back cable main beam support and the main tower; For the The distance between the anchorage of the back cable main beam and the main tower corresponding to the No. cable; is the stiffness of the bridge tower, calculated by formula (6), (6) For the The tensile stiffness of the back cable corresponding to the No. cable is calculated by formula (7): (7) in, For the Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The No. cable corresponds to the area of ​​the back cable.

[0011] Furthermore, the calculation formulas for the internal force and deformation of the two adjacent supports in step S3 are expressed by equations (8) to (13): (8) (9) (10) (11) (12) (13) in, For the The reaction force on support No. For the Shear force on the right side of support No. For the Shear force in the left section of support No. For the The cable corresponding to Support stiffness coefficient of support No.; For the No. Support deflection; , , , Respectively Deflection, rotation, bending moment and shear force of the section at the support No. , , , Respectively Deflection, rotation, bending moment and shear force of the support; For the Support No. and The distance between the supports; , , , Respectively Support No. and The load between the supports Deflection, rotation, bending moment and shear force of support No.

[0012] Further, Support No. and The load between the supports The deflection, rotation, bending moment and shear force of the support are calculated by equations (14) to (17): (14) (15) (16) (17) Where: , , , are the coefficients of shear force, bending moment, rotation and deflection respectively; The values ​​under action are: , , , .

[0013] Furthermore, the internal force of the cable in step S4 is calculated by formula (18): (18) Where: For the The internal force of the cable; For the The angle between the cable and the main beam; For the Bending moment of the section at support No.; For the Bending moment of the section at support No.; The internal force of the bridge tower is calculated by formula (19): (19) in, is the internal force of the bridge tower, For the The internal force of the cable, For the The angle between the cable and the main beam.

[0014] A second aspect of the present invention provides a cable-stayed bridge force and deformation optimization calculation system based on the segmentation method, which is used to implement the cable-stayed bridge force and deformation optimization calculation method based on the segmentation method, comprising: A mathematical model building module is used to divide the structural system of the cable-stayed bridge into a main beam system and a bridge tower system; establish corresponding mathematical models for the main beam system and the bridge tower system, respectively, and describe the stress and deformation characteristics of the main beam system and the bridge tower system under different load conditions through the main beam system model and the bridge tower system model; The main beam system calculation module includes an elastic support stiffness calculation module, which is used to calculate the elastic support stiffness of the elastic support according to the tensile stiffness of the cable, the main beam stiffness, the cable spacing, the anchor point height of the cable, the cable area and the stiffness of the bridge tower; and a main beam internal force and deformation calculation module, which is used to select two independent initial parameters representing the internal force and deformation of the support from the deflection, rotation angle, shear force and bending moment of the support according to the support mode of the beam end support; calculate and obtain the internal force and deformation calculation formula of the two adjacent supports according to the force near the elastic support and the elastic support stiffness; calculate the force and deformation of the end support through the internal force and deformation calculation formula of the two adjacent supports; establish a set of two-variable linear simultaneous equations about the two independent initial parameters according to the force and deformation data of the end support and the boundary conditions of the end support, and solve the values ​​of the two independent initial parameters; substitute the values ​​of the two independent initial parameters into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; The bridge tower system calculation module is used to calculate the internal force of the cable according to the internal force and deformation at each support and the distance between two supports; and calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

[0015] A third aspect of the present invention provides an electronic device, comprising a processor and a memory, wherein the processor and the memory are connected to each other; The memory is used to store computer programs; The processor is configured to execute the segmentation-based optimization calculation method for the force and deformation of a cable-stayed bridge when calling the computer program.

[0016] A fourth aspect of the present invention provides a computer-readable storage medium storing a computer program, wherein the computer program is executed by a processor to implement the segmentation-based method for optimizing the calculation of force and deformation of a cable-stayed bridge.

[0017] In general, the above technical solutions conceived by the present invention can achieve the following beneficial effects compared with the prior art: (1) The method and system for optimizing the calculation of the force and deformation of a cable-stayed bridge based on the segmentation method of the present invention can more accurately simulate the force and deformation behavior of the cable-stayed bridge by dividing the structural system of the cable-stayed bridge into the main beam system and the bridge tower system, and establish corresponding mathematical models for each system, thereby improving the efficiency and accuracy of the calculation. By simplifying the cables into elastic supports and equating the tension of the cables to elastic supports, such simplification can reduce the complexity of the calculation, making the calculation process simpler and making it easier to calculate the elastic support stiffness of the cables. By accurately calculating the elastic support stiffness of the elastic supports, the design of the cable-stayed bridge can be optimized. The design and construction process can ensure the rationality and economy of the structure; by selecting two independent initial parameters to characterize the internal force and deformation of the support and establishing a set of two-variable linear simultaneous equations, the internal force and deformation at each support can be calculated more accurately; by calculating the internal force of the cable and the internal force of the bridge tower, a more comprehensive understanding of the force and deformation of the cable-stayed bridge can be obtained, providing more accurate guidance for the design and construction of the cable-stayed bridge; it helps to ensure the safety of the cable-stayed bridge structure and prevent structural damage caused by improper force; it can solve the problem that the order of the stiffness matrix calculated for traditional cable-stayed bridges is high, making the matrix solution process cumbersome and computationally intensive.

[0018] (2) The method and system for optimizing the calculation of the stress and deformation of a cable-stayed bridge based on the segmentation method of the present invention, by deducing the stress conditions near the elastic support, proposes a step-by-step derivation method for the support deflection, rotation angle, bending moment and shear force, which facilitates the accurate calculation of the internal force and deformation under complex stress conditions; in view of the problem that the stress characteristics of the side and middle towers of a multi-tower cable-stayed bridge are significantly different, based on the structural behavior characteristics of the multi-tower cable-stayed bridge, a calculation formula for the cable support stiffness coefficient considering the tower-beam stiffness is derived, so that the stress characteristics of the multi-tower cable-stayed bridge can be simulated more accurately, thereby more accurately analyzing and designing the structure of the multi-tower cable-stayed bridge.

[0019] (4) The method and system for optimizing the calculation of force and deformation of a cable-stayed bridge based on the segmentation method of the present invention can strengthen the control of construction quality during the construction of the cable-stayed bridge, ensure that parameters such as the cable-stayed angle and height during the construction process meet the design requirements, and improve the overall construction quality; the method of the present invention helps to reduce costs while ensuring structural safety, and reduce the amount of materials used by optimizing the design to achieve an economical and reasonable design; the method of the present invention can fully consider the seismic performance and durability of the bridge through precise calculation to cope with various natural disasters and long-term use losses; the method of the present invention helps to predict and control the construction process of the cable-stayed bridge, and can ensure the smooth progress of the construction by predicting and controlling the key parameters in the construction process. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 It is a flow chart of a method for optimizing force and deformation calculation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 2 A schematic diagram of the structure of a cable-stayed bridge in a method for optimizing force and deformation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 3 It is a structural schematic diagram of a main beam system model in a method for optimizing force and deformation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 4 It is a structural schematic diagram of a bridge tower system model in a method for optimizing force and deformation calculation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 5 It is a structural schematic diagram of the bearing force in a method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 6 A structural schematic diagram of a cable-stayed bridge in a specific embodiment of a method for optimizing force and deformation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Figure 7 This is a structural schematic diagram of simplifying the main beam of a cable-stayed bridge into a multi-point elastically supported continuous beam in a method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method in an embodiment of the present invention; Figure 8 A schematic diagram of the calculation logic structure of a method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method according to an embodiment of the present invention; Fig. 9 It is a structural schematic diagram of a cable-stayed bridge force and deformation optimization calculation system based on a segmentation method according to an embodiment of the present invention; Fig.10 The figure is a schematic diagram of the structure of an electronic device according to an embodiment of the present invention.

[0021] In all the drawings, the same reference numerals represent the same technical features, specifically: 1-main beam, 2-rigid support, 3-elastic support, 4-main tower, 5-cable. DETAILED DESCRIPTION

[0022] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.

[0023] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, when an element is referred to as being "fixed to", "disposed on" or "provided on" another element, it may be directly on the other element or indirectly on the other element. When an element is referred to as being "connected to" another element, it may be directly connected to the other element or indirectly connected to the other element; the terms "installed", "connected", "connected" and "provided with" should be understood in a broad sense, for example, it may be a fixed connection, a detachable connection, or an integral connection; it may be a mechanical connection or an electrical connection; it may be directly connected or indirectly connected through an intermediate medium, and it may be the internal connection of the two elements or the interaction relationship between the two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood according to the specific circumstances.

[0024] At present, the stiffness matrix method is mostly used to calculate the force and deformation of cable-stayed bridges. However, due to the high order of the stiffness matrix used for calculation, the matrix solution process is cumbersome and the amount of calculation is large. Especially when the span and the number of towers of the bridge increase, more computing resources and time are required. The stiffness matrix may become close to a singular matrix (especially in highly flexible structures), which may cause numerical instability problems and affect the accuracy of the calculation. In the calculation process, it is often necessary to consider multiple constraints and boundary conditions between bridge towers, main beams and cable stays. The stiffness matrix method becomes more complicated when dealing with such complex constraints, and requires higher calculation accuracy.

[0025] Based on the above reasons, if Figure 1 and Figure 8 One aspect of the present invention provides a method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method, comprising the following steps: S1: Divide the structural system of the cable-stayed bridge into a main beam system and a bridge tower system; establish corresponding mathematical models for the main beam system and the bridge tower system, respectively, and describe the stress and deformation characteristics of the main beam system and the bridge tower system under different load conditions through the main beam system model and the bridge tower system model; S2: In the main beam system model, it is assumed that the main beam is elastically supported, the cable is simplified as an elastic support, the tension of the cable is equivalent to the elastic support, each support point corresponds to the tension of a cable, and the elastic support stiffness of the elastic support is calculated according to the tensile stiffness of the cable, the stiffness of the main beam, the cable spacing, the anchor point height of the cable, the cable area and the stiffness of the bridge tower; S3: According to the support mode of the beam end support, two independent initial parameters characterizing the internal force and deformation of the support are selected from the deflection, rotation angle, shear force and bending moment of the support; according to the force near the elastic support and the elastic support stiffness, the internal force and deformation calculation formula of the two adjacent supports are calculated and obtained; the force and deformation of the end support are calculated by the internal force and deformation calculation formula of the two adjacent supports; according to the force and deformation data of the end support and the boundary conditions of the end support, a system of two-variable linear simultaneous equations about the two independent initial parameters is established to solve the values ​​of the two independent initial parameters; the values ​​of the two independent initial parameters are substituted into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; S4: Calculate the internal force of the cable according to the internal force at each support, the bending moment in the deformation, and the distance between the two supports; calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

[0026] Furthermore, step S1 includes dividing the structure of the multi-tower cable-stayed bridge from the connection between the main beam and the bridge tower to form two independent subsystems: the main beam system and the bridge tower system. Figure 2 The cable-stayed bridge comprises a main beam 1, a rigid support 2 arranged at the bottom of the main beam 1, a main tower 4 arranged in the middle of the main beam 1, and cables 5 arranged between the top of the main tower 4 and the main beam 1 on both sides of the main tower 4; Figure 3 As described above, the main beam system is simplified into a continuous beam model with elastic support, each support point corresponds to the tension of a cable, and the cable is assumed to be elastically supported, that is, a number of elastic supports 3 between two adjacent rigid supports 2; the main beam system model includes the main beam 1, the rigid support 2 and the several elastic supports 3; Figure 4 As described above, the bridge tower system is simulated as a cantilever beam, which is subjected to the tension from the inclined cable; the bridge tower system model includes a main tower 4 and cables 5 symmetrically arranged on both sides of the main tower 4 between the top of the main tower 4 and the main beam 1.

[0027] Furthermore, in step S2, the elastic support stiffness coefficient of the elastic support is characterized by the side tower cable support stiffness coefficient and the non-side tower cable support stiffness coefficient; the elastic support stiffness calculation includes the side tower cable support stiffness coefficient calculation and the non-side tower cable support stiffness coefficient calculation; including: The stiffness coefficient of the side tower cable support is calculated based on the cable tensile stiffness, cable spacing, cable anchor point height, cable area, and the area of ​​the cable corresponding to the back cable; The stiffness coefficient of the non-side tower cable support is calculated based on the cable tensile stiffness, the cable-side main beam stiffness, the cable-corresponding back cable-side main beam stiffness, the cable-corresponding back cable tensile stiffness and the stiffness of the bridge tower; The side tower cable support stiffness coefficient Calculated by formula (1): (1) in, for No. Cable tensile stiffness, for The angle between the cable and the main beam; for Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The area of ​​the No. cable corresponding to the back cable; for The anchor point of the No. 1 guy line is high; is the elastic modulus of the bridge tower; is the moment of inertia of the bridge tower; is the cable spacing; Cable tensile stiffness Calculated by formula (2): (2) in, For the The elastic modulus of the cable; For the No. Cable area.

[0028] Furthermore, the non-side tower cable support stiffness coefficient in step S2 is Calculated by formula (3): (3) Where: For the The main beam stiffness on the cable side is calculated by formula (4): (4) For the The stiffness of the main beam on the back cable side corresponding to the No. cable is calculated by formula (5): (5) is the elastic modulus of the main beam; is the moment of inertia of the main beam; For the The distance between the main beam support and the main tower on the cable side; For the The distance between the anchorage of the cable main beam and the main tower; For the Cable No. corresponds to the distance between the back cable main beam support and the main tower; For the The distance between the anchorage of the back cable main beam and the main tower corresponding to the No. cable; is the stiffness of the bridge tower, calculated by formula (6), (6) For the The tensile stiffness of the back cable corresponding to the No. cable is calculated by formula (7): (7) in, For the Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The area of ​​the back cable corresponding to the cable No. 1; From formula (3), we can know that the elastic support stiffness coefficient of the elastic support is also .

[0029] Furthermore, step S3 specifically includes the following steps: S31: According to the support mode of the beam end support, two independent initial parameters representing the internal force and deformation of the support are selected from the deflection, rotation, shear force and bending moment of the support. and ; As described in Table 1: Table 1: Two independent initial parameter values ​​for support internal forces and deformations

[0030] In the table: , , , They are the deflection, rotation, shear force and bending moment of support No. 1 at the beam end; When the beam end support No. 1 is a hinged elastic support, select the first independent initial parameter is the deflection of support No. 1 , select the second independent initial parameters is the rotation angle of support No. 1 ; When the beam end support No. 1 is a hinged rigid support, select the first independent initial parameter is the shear force at support No. 1 , select the second independent initial parameters is the rotation angle of support No. 1 ; When the beam end support No. 1 is a fixed elastic support, select the first independent initial parameter is the deflection of support No. 1 , select the second independent initial parameters is the bending moment of support No. 1 ; When the beam end support No. 1 is a fixed rigid support, select the first independent initial parameter is the shear force at support No. 1 , select the second independent initial parameters is the bending moment of support No. 1 ; S32: Derivation of stress and deformation of adjacent elastic supports Figure 5 For the Schematic diagram of the forces near the elastic support No.; For the Shear force in the left section of support No. For the The reaction force on support No. For the The shear force of the section on the right side of the support; According to the force balance relationship on both sides of the support, we can get: No. The reaction force on the support It is expressed by formula (8): (8) No. Shear force of the right section of support No. It is expressed by formula (9): (9) Where: For the The cable corresponding to Support stiffness coefficient of support No.; For the No. Support deflection; Assume The deflection, rotation, bending moment and shear force of the section at support No. are , , , , we can get the Deflection, rotation, bending moment and shear force of the support , , , They are expressed by equations (10) to (13) respectively: (10) (11) (12) (13) in, For the Support No. and The distance between the supports; , , , Respectively Support No. and The load between the supports The deflection, rotation, bending moment and shear force of the support are respectively expressed by equations (14) to (17): (14) (15) (16) (17) Where: , , , are the coefficients of shear force, bending moment, rotation and deflection respectively; The values ​​under action are: , , , .

[0031] The calculation formulas for the internal force and deformation of two adjacent supports in step S3 are expressed by equations (8) to (13): S33: Solve the internal forces and deformations at each support End support The forces and deformations, including Deflection of the section at each support , Corner , Bending moment , Shear ; Calculate the first Deflection of the section at each support , Corner , Bending moment , Shear ; According to the end support The boundary conditions are used to establish a system of linear simultaneous equations of two variables, which can be expressed by equations (14) to (17): End support When it is an elastic hinge support, (14); End support For rigid hinge support, (15); End support For fixed elastic support, (16); End support For fixed rigid support, (17); According to equations (10) to (13), combined with equations (14) to (17), the values ​​of two independent initial parameters representing the internal force and deformation of the support are obtained; the values ​​of the two independent initial parameters representing the internal force and deformation of the support obtained by solving are substituted into the internal force and deformation calculation formulas of the two adjacent supports (equations (8) to (13) to obtain the internal force and deformation at each support; Furthermore, the internal force of the cable in step S4 is calculated by formula (18): (18) Where: For the The internal force of the cable; For the The angle between the cable and the main beam; For the Bending moment of the section at support No.; For the Bending moment of the section at support No.; The internal force of the bridge tower is calculated by formula (19): (19) in, is the internal force of the bridge tower, For the The internal force of the cable, For the The angle between the cable and the main beam.

[0032] The method and system for optimizing the calculation of the force and deformation of a cable-stayed bridge based on the segmentation method of the present invention divides the structural system of the cable-stayed bridge into a main beam system and a bridge tower system, respectively establishes corresponding mathematical models, separates the calculation process of the main beam system and the bridge tower system, and considers the stiffness transfer relationship between the systems at the same time, so as to more accurately simulate the force and deformation behavior of the cable-stayed bridge, especially in a multi-tower cable-stayed bridge. This segmentation method helps to accurately capture the mechanical characteristics of the structure, and can more accurately simulate the force and deformation behavior of the cable-stayed bridge, thereby improving the efficiency and accuracy of the calculation; by simplifying the cable into an elastic support and making the tension of the cable equivalent to the elastic support, such simplification can reduce the calculation time. The complexity of the calculation is reduced, making the calculation process simpler, and the elastic support stiffness of the cable can be calculated more conveniently; by accurately calculating the elastic support stiffness of the elastic support, the design and construction process of the cable-stayed bridge can be optimized to ensure the rationality and economy of the structure; by selecting two independent initial parameters to characterize the internal force and deformation of the support, and establishing a set of two-variable linear simultaneous equations, the internal force and deformation at each support can be calculated more accurately; by calculating the internal force of the cable and the internal force of the bridge tower, the stress and deformation of the cable-stayed bridge can be more comprehensively understood, providing more accurate guidance for the design and construction of the cable-stayed bridge; it helps to ensure the safety of the cable-stayed bridge structure and prevent structural damage caused by improper stress.

[0033] The following is an example of the optimization calculation method for force and deformation of a cable-stayed bridge based on the segmentation method of the present invention: Figure 6 This is a schematic diagram of a cable-stayed bridge. Indicates support No. 1, Indicates support No. 4; Indicates No. B cable; Indicates D-type cable; Represents a cable-stayed bridge; the material properties of the cable-stayed bridge are described in Table 2: Table 2: Material properties of cable-stayed bridges

[0034] Table 1 is the angle between cable B and the main beam; is the elastic modulus of cable B; is the main beam moment of inertia; is the area of ​​cable B; is the anchor point height of the main towers of the No. B and No. D cables; is the elastic modulus of the bridge tower; is the moment of inertia of the bridge tower; is the cross-sectional area of ​​the bridge tower; like Figure 7 As mentioned above, the main beam of the cable-stayed bridge is simplified to a continuous beam with multi-point elastic support. Indicates support No. 1, ② indicates support No. 2; ③ indicates support No. 3; Indicates support No. 4; Distance between support 1 and support 2 , the distance between supports 2 and 3 , the distance between supports 3 and 4 are equal, both are ;Right now (20); The uniformly distributed load on the main beam is , the anchor point height of the main tower of No. B and No. D cables is ( , , are all known numbers); According to formula (4), the main beam stiffness on the B cable side is The calculation formula is: (40) in, is the distance between support No. 1 and the main tower; is the distance between the anchorage of cable girder B and the main tower; According to formula (5), the stiffness of the main beam on the D cable side is The calculation formula is: (41) in, is the distance between support No. 4 and the main tower; is the distance between the anchorage of the cable girder D and the main tower; According to formula (2), the tensile stiffness of cable B is The calculation formula is: (42) in, is the angle between cable B and the main beam; is the elastic modulus of cable B; is the area of ​​cable B; is the anchor point height of the main towers of the No. B and No. D cables; According to formula (6), the calculation formula of the bridge tower stiffness is: (43) According to formula (7), the tensile stiffness of cable D is The calculation formula is: (44) in, is the elastic modulus of the D-type cable; is the area of ​​the back cable corresponding to the D-type cable; is the angle between cable D and the main beam; According to formula (3), the support stiffness coefficient of cables B and D can be calculated as It is expressed as: (45) From formula (45), the elastic support stiffness coefficients of elastic supports No. 2 and No. 3 can be obtained as .

[0035] Further, Figure 4 The No. 1 support is a hinged rigid support, so the shear force, rotation angle, bending moment and deflection at the No. 1 support are respectively , , , , which corresponds to the independent parameter selected in step S3: , ; Support No. 2 is a hinged elastic support. The shear force, rotation angle, bending moment and deflection at support No. 2 are , , , ; Support No. 3 is a hinged elastic support. The shear force, rotation angle, bending moment and deflection at support No. 3 are , , , ; Support No. 4 is a rigid hinge support. The shear force, rotation angle, bending moment and deflection at support No. 4 are , , , ; According to the boundary conditions of support No. 4, a system of linear simultaneous equations of two variables is established: (twenty one) Among them, indicates that the bending moment at support No. 4 is 0; indicates that the deflection at support No. 4 is 0; According to formula (10) and formula (12), the deflection at support No. 4 is obtained: and bending moment The derivation formula is: (twenty two) (twenty three) in, is the deflection of support No. 2 caused by the load between supports No. 1 and No. 2; is the deflection of support 3 due to the load between supports 2 and 3, is the deflection of support No. 4 due to the load between supports No. 3 and No. 4; is the bending moment of the load between supports 1 and 2 on support 2, is the bending moment of the load between supports 2 and 3 on support 3, is the bending moment of the load between supports 3 and 4 on support 4; Since support No. 1 is a hinged support: (twenty four); According to formula (20), we can get: (25) (26) (27) (28) in, , , They are the rotation angle of the load between supports 1 and 2 to support 2, the rotation angle of the load between supports 2 and 3 to support 3, and the rotation angle of the load between supports 3 and 4 to support 4; , , They are the shear force of the load between supports 1 and 2 on support 2, the shear force of the load between supports 2 and 3 on support 3, and the shear force of the load between supports 3 and 4 on support 4; Further, let , is a known number, so first calculate the intermediate value , and second calculate the intermediate value , and third calculate the intermediate value , the fourth calculates the intermediate value Can be passed Calculated.

[0036] Substituting equations (20), (24) to (28) into equations (22) and (23), we obtain: (29) (30) From formulas (2) to (6) and formula (18), we can get: (31) (32) (33) (34) (35) (36) (37) in, is the shear force of the right section of support No. 1; is the shear force of the right section of support No. 2; is the shear force of the right section of support No. 3; is the reaction force of support No. 1; The independent parameters Substituting formula (31)-(37) into formula (29) and (30), we get a system of linear equations with two variables: (38) in, are all known numbers, let the fifth intermediate calculation value , , is a known number; formula (38) It can be simplified into a system of two-variable linear equations: (39) The known numbers in brackets in formula (39) are unknown numbers. , , solve the system of two-variable linear equations simultaneously, and we can get , The value of Will , Substituting into formulas (8) to (13), the internal forces and deformations at each support can be obtained; Substituting the internal forces and deformations at each support into formulas (18) and (19) can determine the internal forces of cable B, cable D and the bridge tower.

[0037] The segmentation-based optimization calculation method for the force and deformation of a cable-stayed bridge of the present invention effectively improves the efficiency of internal force calculation and the accuracy of deformation analysis of a multi-tower cable-stayed bridge through the segmentation method and a calculation method that considers the stiffness transfer relationship, thereby optimizing the design and construction process, improving the structural stiffness and support efficiency, and providing guidance for conceptual design to ensure the safety and functionality of the structure.

[0038] like Fig. 9 The second aspect of the present invention provides a cable-stayed bridge force and deformation optimization calculation system based on the segmentation method, which is used to implement the above calculation method, including: A mathematical model building module is used to divide the structural system of the cable-stayed bridge into a main beam system and a bridge tower system; establish corresponding mathematical models for the main beam system and the bridge tower system, respectively, and describe the stress and deformation characteristics of the main beam system and the bridge tower system under different load conditions through the main beam system model and the bridge tower system model; The main beam system calculation module includes an elastic support stiffness calculation module, which is used to calculate the elastic support stiffness of the elastic support according to the tensile stiffness of the cable, the main beam stiffness, the cable spacing, the anchor point height of the cable, the cable area and the stiffness of the bridge tower; and a main beam internal force and deformation calculation module, which is used to select two independent initial parameters representing the internal force and deformation of the support from the deflection, rotation angle, shear force and bending moment of the support according to the support mode of the beam end support; calculate and obtain the internal force and deformation calculation formula of the two adjacent supports according to the force near the elastic support and the elastic support stiffness; calculate the force and deformation of the end support through the internal force and deformation calculation formula of the two adjacent supports; establish a set of two-variable linear simultaneous equations about the two independent initial parameters according to the force and deformation data of the end support and the boundary conditions of the end support, and solve the values ​​of the two independent initial parameters; substitute the values ​​of the two independent initial parameters into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; The bridge tower system calculation module is used to calculate the internal force of the cable according to the internal force and deformation at each support and the distance between two supports; and calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

[0039] It should be noted that the force and deformation optimization calculation system for a cable-stayed bridge based on the segmentation method provided in this embodiment can be a computer program (including program code) running in a computer device. For example, the force and deformation optimization calculation system for a cable-stayed bridge based on the segmentation method is an application software; the force and deformation optimization calculation system for a cable-stayed bridge based on the segmentation method can be used to execute the corresponding steps in the above method provided in the embodiment of the present application.

[0040] In some feasible implementations, the cable-stayed bridge force and deformation optimization calculation system based on the segmentation method provided in this embodiment can be implemented in a combination of software and hardware. As an example, the cable-stayed bridge force and deformation optimization calculation system based on the segmentation method provided in the embodiment of the present application can be a processor in the form of a hardware decoding processor, which is programmed to execute the cable-stayed bridge force and deformation optimization calculation method based on the segmentation method provided in the embodiment of the present application. For example, the processor in the form of a hardware decoding processor can adopt one or more application specific integrated circuits (ASICs), digital signal processors (DSPs), programmable logic devices (PLDs), complex programmable logic devices (CPLDs), field programmable gate arrays (FPGAs) or other electronic components.

[0041] In some feasible implementations, the force and deformation optimization calculation system for a cable-stayed bridge based on the segmentation method provided in this embodiment can be implemented in software form, which can be software in the form of programs and plug-ins, and includes a series of modules to implement the force and deformation optimization calculation method for a cable-stayed bridge based on the segmentation method provided in an embodiment of the present invention.

[0042] The force and deformation optimization calculation system for a cable-stayed bridge based on the segmentation method provided in this embodiment can simulate the force and deformation behavior of the cable-stayed bridge more accurately and improve the efficiency and accuracy of the calculation by dividing the structural system of the cable-stayed bridge into a main beam system and a bridge tower system and establishing corresponding mathematical models respectively; by simplifying the cable into an elastic support and equating the tension of the cable to an elastic support, such simplification can reduce the complexity of the calculation, making the calculation process simpler and more convenient to calculate the elastic support stiffness of the cable; by accurately calculating the elastic support stiffness of the elastic support, the design and construction process of the cable-stayed bridge can be optimized to ensure the rationality and economy of the structure; by selecting two independent initial parameters to characterize the internal force and deformation of the support and establishing a set of two-variable linear simultaneous equations, the internal force and deformation at each support can be calculated more accurately; by calculating the internal force of the cable and the internal force of the bridge tower, the force and deformation of the cable-stayed bridge can be more comprehensively understood, providing more accurate guidance for the design and construction of the cable-stayed bridge; it is helpful to ensure the safety of the cable-stayed bridge structure and prevent structural damage caused by improper force.

[0043] A third aspect of the present invention further provides an electronic device, Fig.10 Schematic diagram of the structure of the electronic device of this embodiment. Fig.10 As described, the electronic device 1000 in this embodiment may include: a processor 1001, a network interface 1004 and a memory 1005. In addition, the above-mentioned electronic device 1000 may also include: a user interface 1003, and at least one communication bus 1002. Among them, the communication bus 1002 is used to realize the connection and communication between these components. Among them, the user interface 1003 may include a display screen (Display), a keyboard (Keyboard), and the user interface 1003 may optionally include a standard wired interface and a wireless interface. The network interface 1004 may optionally include a standard wired interface and a wireless interface (such as a WI-FI interface). The memory 1005 may be a high-speed RAM memory, or it may be a non-volatile memory (non-volatile memory), such as at least one disk storage. The memory 1005 may optionally also be at least one storage device located away from the aforementioned processor 1001. As Fig.10 As described above, the memory 1005 as a computer-readable storage medium may include an operating system, a network communication module, a user interface module, and a device control application program.

[0044] like Fig.10 In the electronic device 1000, the network interface 1004 can provide a network communication function; the user interface 1003 is mainly used to provide an input interface for the user; and the processor 1001 can be used to call the device control application stored in the memory 1005 to achieve: The structural system of the cable-stayed bridge is divided into a main beam system and a bridge tower system; corresponding mathematical models are established for the main beam system and the bridge tower system, and the stress and deformation characteristics of the main beam system and the bridge tower system under different load conditions are described respectively through the main beam system model and the bridge tower system model; In the main beam system model, it is assumed that the main beam is elastically supported, the cable is simplified as an elastic support, the tension of the cable is equivalent to the elastic support, each support point corresponds to the tension of a cable, and the elastic support stiffness of the elastic support is calculated according to the tensile stiffness of the cable, the stiffness of the main beam, the cable spacing, the anchor point height of the cable, the cable area and the stiffness of the bridge tower; According to the support mode of the beam end support, two independent initial parameters characterizing the internal force and deformation of the support are selected from the deflection, rotation angle, shear force and bending moment of the support; the internal force and deformation calculation formula of the two adjacent supports are calculated and obtained according to the force near the elastic support and the elastic support stiffness; the force and deformation of the end support are calculated by the internal force and deformation calculation formula of the two adjacent supports; according to the force and deformation data of the end support and the boundary conditions of the end support, a system of two-variable linear simultaneous equations about the two independent initial parameters is established to solve the values ​​of the two independent initial parameters; the values ​​of the two independent initial parameters are substituted into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; The internal force of the cable is calculated according to the internal force and deformation at each support and the distance between two supports; the internal force of the bridge tower is calculated according to the internal force of the cable and the angle between the cable and the main beam.

[0045] It should be understood that in some feasible implementations, the processor 1001 may be a central processing unit (CPU), or other general-purpose processors, DSPs, ASICs, FPGAs or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or the processor may be any conventional processor, etc. The memory may include a read-only memory and a random access memory, and provide instructions and data to the processor. A portion of the memory may also include a non-volatile random access memory. For example, the memory may also store information about the device type.

[0046] In a specific implementation, the electronic device 1000 can execute the above-mentioned functions through its built-in functional modules. Figure 1For the implementation methods provided in each step, please refer to the implementation methods provided in the above steps for details, which will not be repeated here.

[0047] The electronic device provided in this embodiment can more accurately simulate the stress and deformation behavior of the cable-stayed bridge and improve the efficiency and accuracy of the calculation by dividing the structural system of the cable-stayed bridge into a main beam system and a bridge tower system and establishing corresponding mathematical models respectively; by simplifying the cable into an elastic support and equating the tension of the cable to the elastic support, such simplification can reduce the complexity of the calculation, making the calculation process simpler and more convenient to calculate the elastic support stiffness of the cable; by accurately calculating the elastic support stiffness of the elastic support, the design and construction process of the cable-stayed bridge can be optimized to ensure the rationality and economy of the structure; by selecting two independent initial parameters that characterize the internal force and deformation of the support and establishing a set of two-variable linear simultaneous equations, the internal force and deformation at each support can be more accurately calculated; by calculating the internal force of the cable and the internal force of the bridge tower, the stress and deformation of the cable-stayed bridge can be more comprehensively understood, providing more accurate guidance for the design and construction of the cable-stayed bridge; it is helpful to ensure the safety of the cable-stayed bridge structure and prevent structural damage caused by improper stress.

[0048] The present application also provides a computer-readable storage medium, which stores a computer program and is executed by a processor to implement Figure 1 For the methods provided in each step, please refer to the implementation methods provided in the above steps for details, which will not be repeated here.

[0049] The computer-readable storage medium provided in this embodiment can more accurately simulate the stress and deformation behavior of the cable-stayed bridge and improve the efficiency and accuracy of the calculation by dividing the structural system of the cable-stayed bridge into a main beam system and a bridge tower system and establishing corresponding mathematical models respectively; by simplifying the cables into elastic supports and equating the tension of the cables to elastic supports, such simplification can reduce the complexity of the calculation, making the calculation process simpler and more convenient to calculate the elastic support stiffness of the cables; by accurately calculating the elastic support stiffness of the elastic supports, the design and construction process of the cable-stayed bridge can be optimized to ensure the rationality and economy of the structure; by selecting two independent initial parameters that characterize the internal force and deformation of the supports and establishing a set of two-variable linear simultaneous equations, the internal force and deformation at each support can be more accurately calculated; by calculating the internal force of the cables and the internal force of the bridge towers, the stress and deformation of the cable-stayed bridge can be more comprehensively understood, providing more accurate guidance for the design and construction of the cable-stayed bridge; it is helpful to ensure the safety of the cable-stayed bridge structure and prevent structural damage caused by improper stress.

[0050] Any reference to memory, storage, database or other media used in the embodiments provided in the present application may include non-volatile and / or volatile memory. Non-volatile memory may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM) or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. As an illustration and not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link (Synchlink) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).

[0051] It will be easily understood by those skilled in the art that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for optimizing the force and deformation of a cable-stayed bridge based on a segmentation method, characterized in that: The steps include: S1: construct the main beam system model and the bridge tower system model respectively; S2: In the main beam system model, the cable is simplified as an elastic support, the tension of the cable is equivalent to the elastic support, and the elastic support stiffness of the elastic support is calculated; S3: According to the support mode of the beam end support, two independent initial parameters characterizing the internal force and deformation of the support are selected from the deflection, rotation angle, shear force and bending moment of the support; according to the force near the elastic support and the elastic support stiffness, the internal force and deformation calculation formula of the two adjacent supports are calculated and obtained; the force and deformation of the end support are calculated by the internal force and deformation calculation formula of the two adjacent supports; according to the force and deformation data of the end support and the boundary conditions of the end support, a set of two-variable linear simultaneous equations about the two independent initial parameters is established, and the values ​​of the two independent initial parameters obtained by solving are substituted into the internal force and deformation calculation formula of the two adjacent supports to obtain the internal force and deformation at each support; S4: Calculate the internal force of the cable according to the internal force and deformation at each support and the distance between two supports; calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

2. The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to claim 1 is characterized in that: The elastic support stiffness calculation in step S2 includes the calculation of the stiffness coefficient of the side tower cable support and the calculation of the stiffness coefficient of the non-side tower cable support.

3. The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to claim 2 is characterized in that: The side tower cable support stiffness coefficient Calculated by formula (1): (1) in, for The angle between the cable and the main beam; for Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The No. cable corresponds to the area of ​​the back cable; for The anchor point of the No. 1 guy line is high; is the elastic modulus of the bridge tower; is the moment of inertia of the bridge tower; is the cable spacing; for The tensile stiffness of the cable is calculated by formula (2): (2) in, For the The elastic modulus of the cable; For the No. Cable area.

4. The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to claim 3 is characterized in that: The stiffness coefficient of the non-side tower cable support in step S2 Calculated by formula (3): (3) Where: For the The main beam stiffness on the cable side is calculated by formula (4): (4) For the The stiffness of the main beam on the back cable side corresponding to the No. cable is calculated by formula (5): (5) is the elastic modulus of the main beam; is the moment of inertia of the main beam; For the The distance between the main beam support and the main tower on the cable side; For the The distance between the anchorage of the cable main beam and the main tower; For the Cable No. corresponds to the distance between the back cable main beam support and the main tower; For the The distance between the anchorage of the back cable main beam and the main tower corresponding to the No. cable; is the stiffness of the bridge tower, calculated by formula (6), (6) For the The tensile stiffness of the back cable corresponding to the No. cable is calculated by formula (7): (7) in, For the Cable No. corresponds to the angle between the back cable and the main beam; for The elastic modulus of the back cable corresponding to the No. cable; for The No. cable corresponds to the area of ​​the back cable.

5. The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to claim 4 is characterized in that: The calculation formulas for the internal force and deformation of two adjacent supports in step S3 are expressed by equations (8) to (13): (8) (9) (10) (11) (12) (13) in, For the The reaction force on support No. For the Shear force on the right side of support No. For the Shear force in the left section of support No. For the The cable corresponding to Support stiffness coefficient of support No.; For the No. Support deflection; , , , Respectively Deflection, rotation, bending moment and shear force of the section at the support No. , , , Respectively Deflection, rotation, bending moment and shear force of the support; For the Support No. and The distance between the supports; , , , Respectively Support No. and The load between the supports Deflection, rotation, bending moment and shear force of support No.

6. The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to claim 5 is characterized in that: No. Support No. and The load between the supports The deflection, rotation, bending moment and shear force of the support are calculated by equations (14) to (17): (14) (15) (16) (17) Where: , , , are the coefficient values ​​of shear force, bending moment, rotation and deflection respectively; Its uniform load The values ​​under action are: , , , .

7. A method for optimizing force and deformation of a cable-stayed bridge based on segmentation method according to any one of claims 1 to 6, characterized in that: The internal force of the cable in step S4 is calculated by formula (18): (18) Where: For the The internal force of the cable; For the The angle between the cable and the main beam; For the Bending moment of the section at support No.; For the Bending moment of the section at support No.; The internal force of the bridge tower is calculated by formula (19): (19) in, is the internal force of the bridge tower, For the The internal force of the cable, For the The angle between the cable and the main beam.

8. A force and deformation optimization calculation system for a cable-stayed bridge based on a segmentation method, characterized in that: The method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method according to any one of claims 1 to 7 comprises: A mathematical model building module, used to build a main beam system model and a bridge tower system model respectively; The main beam system calculation module includes an elastic support stiffness calculation module, which simplifies the cable into an elastic support, equates the tension of the cable to the elastic support, and calculates the elastic support stiffness of the elastic support; and a main beam internal force and deformation calculation module, which is used to select two independent initial parameters that characterize the internal force and deformation of the support from the deflection, rotation angle, shear force and bending moment of the support according to the support mode of the beam end support; calculate and obtain the internal force and deformation calculation formula of the two adjacent supports according to the force near the elastic support and the elastic support stiffness; calculate the force and deformation of the end support through the internal force and deformation calculation formula of the two adjacent supports; establish a set of two-variable linear simultaneous equations about the two independent initial parameters according to the force and deformation data of the end support and the boundary conditions of the end support, substitute the values ​​of the two independent initial parameters obtained by solving into the internal force and deformation calculation formula of the two adjacent supports, and obtain the internal force and deformation at each support; The bridge tower system calculation module is used to calculate the internal force of the cable according to the internal force and deformation at each support and the distance between two supports; and calculate the internal force of the bridge tower according to the internal force of the cable and the angle between the cable and the main beam.

9. An electronic device, characterized in that: comprising a processor and a memory, wherein the processor and the memory are connected to each other; The memory is used to store computer programs; The processor is configured to execute the force and deformation optimization calculation method for a cable-stayed bridge based on the segmentation method as described in any one of claims 1 to 7 when calling the computer program.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and the computer program is executed by a processor to implement the method for optimizing the force and deformation of a cable-stayed bridge based on the segmentation method as described in any one of claims 1 to 7.

Citation Information

Patent Citations

  • Girder string continuous cable stayed bridge

    CN102140775A

  • Novel auxiliary cable-stayed bridge and shape finding method thereof

    CN116892160A

  • Design method for longitudinal elastic constraint system of cable-stayed bridge

    CN117113479A

  • Improved algorithm for optimizing cable force of cable-stayed bridge

    CN117763900A

  • Constructing method of cable-stayed bridge and temporary cable therefor

    US20120216357A1