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Method for precisely solving length of unstressed cable of cable-stayed bridge

A stress-free, cable-stayed technology, applied in the field of bridge and culvert engineering in the transportation industry, can solve problems such as calculation errors, difficulty in iteration convergence, divergence, etc., and achieve the effects of small calculation errors, large practical engineering application value, and fast convergence speed

Inactive Publication Date: 2010-10-06
WUHAN UNIV OF TECH
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Problems solved by technology

At present, when the existing linear search method, dichotomy method and improved chord cut method iteratively solve the unstressed cable length, the initial value of the unstressed cable length is selected as the boundary value of the cable chord length. When the chord lengths are similar, the iterations are not easy to converge, or even diverge. In addition, these methods all assume that the cable end force is the average value of the node forces at both ends. Even if the iteration accuracy is strictly controlled, calculation errors will occur

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  • Method for precisely solving length of unstressed cable of cable-stayed bridge
  • Method for precisely solving length of unstressed cable of cable-stayed bridge
  • Method for precisely solving length of unstressed cable of cable-stayed bridge

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Embodiment 1

[0032] Embodiment 1, the accurate solution method of unstressed cable length of cable-stayed bridge:

[0033] Such as figure 1 In the analysis and calculation of the catenary element of the shown cable, the following assumptions are adopted: (1) the cable is ideally flexible and can only bear tension but not compression and bending; (2) the cable is a linear elastic material, and its The stress-strain relationship conforms to Hooke's law; (3) Except for the support at both ends, the cable is only subjected to a vertically downward load uniformly distributed along the length of the cable; (4) Regardless of the change of the cable cross-section before and after deformation, its self-weight is constant The load concentration is constant along the length of the cable. According to the above assumptions, the cable type under the action of its own weight is a catenary.

[0034] exist figure 1 In the rectangular coordinate system xoy shown, the catenary element is ij, and the coor...

Embodiment 2

[0076] Embodiment 2, the application of the accurate solution method of unstressed cable length of cable-stayed bridge:

[0077] In order to verify the accuracy and effectiveness of the proposed calculation method for unstressed cable length, a calculation program was compiled using the mathematical software MATLAB7.1, and compared with the calculation results of Ridders' improved chord cut method. The material properties of the cable in the calculation example are: elastic modulus E=1.31×10 11 N / m 2 ; The cross-sectional area of ​​the cable is A=5.48×10 -4 m 2 ; Uniformly distributed load along the length of the cable q = 46.11N / m. Calculation of two working conditions will be carried out (1) l=100m, h=10m, cable end pretension T j =12kN; (2) l=10m, h=300m, cable end pretension T j =30kN; the calculation results are shown in Table 1. From the comparison of the results in Table 1, it can be seen that compared with the iterative method using Ridders' improved chord cut me...

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Abstract

The invention provides a method for precisely solving the length of an unstressed cable of a cable-stayed bridge. The length of the unstressed cable is solved by substituting the average value of the nodal force at the end of the stayed cable with a precise calculation method for the force at the end of the stayed cable, and by building a precise expression s0 of the length of the unstressed stayed cable and a characteristic parameter beta constraint equation of the stayed cable when a tensile force at the end of a tower is known without selecting the primary value of the length of the unstressed cable. The method comprises the following steps of: building the precise expression of the length of the unstressed stayed cable and the characteristic parameter beta constraint equation of the stayed cable when the tensile force Tj at the end of the tower is known, and solving the length of the unstressed stayed cable. The method has the advantages of solving the problem on the selection of the primary value of the length of the unstressed cable, with high convergence rate and small calculation error. Compared with the linear search, the dichotomy and the improved chord secant method for iteratively solving the length of the unstressed cable, the method of the invention greatly improves the solution precision and solution efficiency of the length of the unstressed stayed cable, so the method is of relatively high application value in practical projects.

Description

technical field [0001] The invention relates to the field of bridge and culvert engineering in the transportation industry, in particular to an accurate solution method for the unstressed cable length of a cable-stayed bridge based on catenary cable elements. Background technique [0002] The precise determination of the unstressed cable length of cable-stayed bridges has always been an important research topic in the design and construction of cable-stayed bridges. The relationship between the unstressed cable length and the cable force is obtained through the static equilibrium condition of the cable, the constitutive relationship and the calculation formula of the cable length. Therefore, the calculation of the unstressed cable length is a problem beyond the solution of the equations, and iterative calculations are required. Sure. At present, when the existing linear search method, dichotomy method and improved chord cut method iteratively solve the unstressed cable leng...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01B21/02G06F17/10
Inventor 刘沐宇汪峰陈跃庆高宗余林驰卢志芳
Owner WUHAN UNIV OF TECH
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