CN-121997439-A - Cable-stayed bridge cable force and linear cooperative control method and system based on finite element analysis

CN121997439ACN 121997439 ACN121997439 ACN 121997439ACN-121997439-A

Abstract

The application relates to the technical field of cable force control of a cable-stayed bridge, in particular to a cable force and linear cooperative control method and a system of the cable-stayed bridge based on finite element analysis, wherein the method comprises the steps of comparing measured vertical displacement deviation of each measuring point with a preset displacement deviation threshold value by analyzing the accumulation degree of vertical displacement of each measuring point when unit cable force is applied to all cables so as to obtain the linear urgency of the bridge; based on the actual measurement vertical displacement deviation of all measuring points, solving the cable force adjustment quantity of all cables in a finite element model of the cable-stayed bridge by adopting a generalized inverse matrix to determine the comprehensive cable force adjustment scale, and determining an initial allowable discrete value by combining the linear urgency of the bridge and the preset design cable force average value of all cables to optimize the constraint condition in the process of cooperative control of the cable force and the linearity of the cable-stayed bridge. According to the bridge cable force uniformity constraint threshold value self-adaptively adjusted according to the actual risk and the requirement of the bridge, the rationality and the feasibility of the cable force and linear cooperative control strategy are improved.

Inventors

WANG WEI
Lv Xianchuang
LIU HONGLIN
LIU FENGYUN
TIAN LIANMIN
LI SHUAINAN
LIU FENGFENG
WU MINGYI
ZHAO XIN
CAO WENLEI

Assignees

中交路桥建设有限公司
中交路桥华北工程有限公司
中交一公局集团有限公司

Dates

Publication Date: 20260508
Application Date: 20260408

Claims (10)

1. The method for cooperatively controlling the cable force and the line shape of the cable-stayed bridge based on finite element analysis is characterized by comprising the following steps of: Obtaining actual measurement vertical displacement deviation of each preset measuring point in a finite element model of the cable-stayed bridge, and obtaining vertical displacement of each measuring point when unit cable force is applied to each cable; Determining the sensitivity weight of each measuring point by analyzing the accumulation degree of the vertical displacement of each measuring point when unit cable force is applied to all cables, comparing the measured vertical displacement deviation of each measuring point with a preset displacement deviation threshold value, determining the displacement deviation limit value of each measuring point and combining the cable force sensitivity; based on the actual measurement vertical displacement deviation of all the measuring points, solving the cable force adjustment quantity of all the cables in the finite element model of the cable-stayed bridge by adopting a generalized inverse matrix to determine the comprehensive cable force adjustment scale of the cable-stayed bridge; And determining an initial allowable discrete value of the cable-stayed bridge based on the bridge linear urgency, the comprehensive cable force adjustment scale and a preset design cable force average value of all cables so as to optimize constraint conditions in a cable-stayed bridge cable force and linear cooperative control process.
2. The method for cooperatively controlling cable force and linearity of a cable-stayed bridge based on finite element analysis as claimed in claim 1, wherein the cable force sensitivity of each measuring point is an L1 norm of the vertical displacement of each measuring point when a unit cable force is applied to all cables.
3. The method for collaborative control of cable force and line shape of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the displacement deviation limit value of each measuring point is the ratio of the measured vertical displacement deviation of each measuring point to the preset displacement deviation threshold value.
4. The method for collaborative control of cable force and line shape of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the sensitivity weight of each measuring point is the result of taking the normalized value of the product of the displacement deviation limit value and cable force sensitivity of each measuring point.
5. The method for cooperatively controlling the cable force and the line shape of the cable-stayed bridge based on the finite element analysis according to claim 1, wherein the bridge line shape urgency of the cable-stayed bridge is a result of forward fusion of displacement deviation limit values of all measuring points on a finite element model of the cable-stayed bridge and sensitive weights.
6. The method for collaborative control of cable force and linearity of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the adopting a generalized inverse matrix to solve the cable force adjustment of all cables in the finite element model of the cable-stayed bridge comprises: The method comprises the steps that when unit cable force is applied to all cables, the cable force vectors of all the measuring points are formed by the vertical displacement of all the measuring points, a matrix formed by the cable force vectors of all the measuring points is recorded as a displacement-cable force matrix, and a displacement-cable moment matrix is used as a pseudo-inverse matrix of a displacement-cable force matrix which is input and output by a generalized inverse matrix algorithm; and taking the measured vertical displacement deviation of all the measuring points as the input of a pseudo-inverse matrix of the displacement-cable force matrix, and outputting the cable force adjustment quantity of all the cables in the finite element model of the cable-stayed bridge.
7. The method for collaborative control of cable force and alignment of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the overall cable force adjustment scale of the cable-stayed bridge is the average of the cable force adjustment amounts of all cables in the finite element model of the cable-stayed bridge.
8. The method for collaborative control of cable force and alignment of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the expression of the initial allowable discrete value of the cable-stayed bridge is: In the formula (I), in the formula (II), Representing an initial allowable discrete value of the cable-stayed bridge; Representing the comprehensive cable force adjustment scale of the cable-stayed bridge; Representing the bridge line shape urgency of the cable-stayed bridge; represents the lower limit of the discrete value, wherein, N represents the number of all cables in the finite element model of the cable-stayed bridge; represents the upper limit of the discrete value, wherein, , The deviation degree of the preset relative cable force is represented, The method is used for representing the preset design cable force average value of all cables in the finite element model of the cable-stayed bridge, exp () represents an exponential function based on a natural constant, and clamp [ ] represents a cut-off function.
9. The method for collaborative control of cable force and linearity of a cable-stayed bridge based on finite element analysis according to claim 1, wherein the constraint condition in the process of optimizing collaborative control of cable force and linearity of the cable-stayed bridge comprises: based on the initial allowable discrete value, adopting a Robbins-Monro algorithm to iteratively optimize the allowable discrete value in the uniformity constraint condition in the process of cooperative control of the cable force and the linearity of the cable-stayed bridge.
10. The system for cooperatively controlling the cable-stayed bridge cable force and the line shape based on the finite element analysis comprises a memory, a processor and a computer program stored in the memory and running on the processor, wherein the processor realizes the steps of the method for cooperatively controlling the cable-stayed bridge cable force and the line shape based on the finite element analysis according to any one of claims 1-9 when executing the computer program.

Description

Cable-stayed bridge cable force and linear cooperative control method and system based on finite element analysis Technical Field The application relates to the technical field of cable force control of a cable-stayed bridge, in particular to a cable force and linear cooperative control method and system of the cable-stayed bridge based on finite element analysis. Background The cable-stayed bridge is a cooperative stress system consisting of a main tower, a main girder and stay cables, and provides elastic support for the long-span main girder through the high-strength stay cables. The cable force, i.e. the axial tension of the inhaul cable, directly determines the stress distribution and geometric deformation of the main girder and the main tower, and the line shape, i.e. the actual geometric form of the bridge, needs to be consistent with the design target so as to ensure the structural safety and the service performance. In view of the difficulty in accurately predicting the coupling effect of the cable force and the line shape by the traditional analysis method, the cable force, the line shape and the stress distribution of each component can be accurately calculated by establishing a structural model through finite element analysis, and high-precision data support is provided for construction control. The traditional method aims at the minimum cable force error, takes the linear, stress, cable force limit value and uniformity as constraints, and establishes a nonlinear optimization model to solve the cable force adjustment quantity. However, in the uniformity constraint, the maximum allowable value for measuring the dispersion of the cable force depends on empirical setting, and because the requirements of different structures and construction stages on the uniformity of the cable force are dynamically changed, the static and empirical setting mode weakens the rationality and the feasibility of the cooperative control strategy of the cable force and the line shape. Disclosure of Invention In order to solve the technical problems, the application aims to provide a method and a system for cooperatively controlling cable force and line shape of a cable-stayed bridge based on finite element analysis, wherein the adopted technical scheme is as follows: In a first aspect, an embodiment of the present application provides a method for cooperatively controlling cable force and alignment of a cable-stayed bridge based on finite element analysis, the method comprising the steps of: Obtaining actual measurement vertical displacement deviation of each preset measuring point in a finite element model of the cable-stayed bridge, and obtaining vertical displacement of each measuring point when unit cable force is applied to each cable; Determining the sensitivity weight of each measuring point by analyzing the accumulation degree of the vertical displacement of each measuring point when unit cable force is applied to all cables, comparing the measured vertical displacement deviation of each measuring point with a preset displacement deviation threshold value, determining the displacement deviation limit value of each measuring point and combining the cable force sensitivity; based on the actual measurement vertical displacement deviation of all the measuring points, solving the cable force adjustment quantity of all the cables in the finite element model of the cable-stayed bridge by adopting a generalized inverse matrix to determine the comprehensive cable force adjustment scale of the cable-stayed bridge; And determining an initial allowable discrete value of the cable-stayed bridge based on the bridge linear urgency, the comprehensive cable force adjustment scale and a preset design cable force average value of all cables so as to optimize constraint conditions in a cable-stayed bridge cable force and linear cooperative control process. Preferably, the cable force sensitivity of each measuring point is L1 norm of the vertical displacement of each measuring point when unit cable force is applied to all cables. Preferably, the displacement deviation limit value of each measuring point is the ratio of the measured vertical displacement deviation of each measuring point to the preset displacement deviation threshold value. Preferably, the sensitivity weight of each measuring point is the result of taking a normalized value by the product of the displacement deviation limit value of each measuring point and the cable force sensitivity. Preferably, the bridge line shape urgency of the cable-stayed bridge is the result of forward fusion of the displacement deviation limit value of all measuring points on the finite element model of the cable-stayed bridge and the sensitive weight. Preferably, the solving the cable force adjustment quantity of all cables in the finite element model of the cable-stayed bridge by adopting a generalized inverse matrix comprises the following steps: The method comprises the steps that when u