悬索桥主缆初始位形的悬链线方程精细迭代分析法

详细信息

ACCURATE ITERATION METHOD TO CALCULATE THE INITIAL STATES OF MAIN CABLES OF SUSPENSION BRIDGES

College of Civil and Architectural Engineering College, Central South University, Changsha, Hunan 410075, China;2. School of Bridge and Structural Engineering, Changsha University of Science and Technology, Changsha, Hunan 410076, China

摘要: 悬索桥非线性有限元法采用悬链线单元精度高,推导了基于自重约束方程,求解两种设计条件下主缆初始位形的悬链线精细迭代法公式,该方法能够计算主缆变形后自重荷载集度的变化.根据索鞍的受力特点,推导了不平衡索力与索鞍预偏量之间增量函数形式的显式刚度方程,导出了索鞍弧顶主缆曲线的无应力索长的精确计算公式.算例结果表明,方法精度高,计算稳定且收敛快.
- 桥梁工程 /
- 悬索桥 /
- 主缆 /
- 悬链线 /
- 迭代法
Abstract: The catenary element has higher precision than other elements in nonlinear analysis of cable-stayed bridges.Based on the self-weight constraint equation,a method of accurate catenary iteration is developed to find the initial states of main cables of cable-stayed bridges with two design parameters known in advance.The proposed method can calculate the self-weight density variations of cables.Based on the mechanical characteristic of cable saddle,explicit tangent stiffness equations relating cable tension and saddle offset are deduced,and the accurate formulas of non-stressed cable length on saddles are also obtained.The example results show that the proposed method is accurate,stable and quickly convergent.
- bridge engineering /
- suspension bridge /
- cable /
- catenary /
- iteration method

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College of Civil and Architectural Engineering College, Central South University, Changsha, Hunan 410075, China;2. School of Bridge and Structural Engineering, Changsha University of Science and Technology, Changsha, Hunan 410076, China