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| 悬索桥主缆初始位形的悬链线方程精细迭代分析法 | |
| 引用本文： | 陈常松,陈政清,颜东煌.悬索桥主缆初始位形的悬链线方程精细迭代分析法[J].工程力学,2006,23(8):62-68. |
| 作者姓名： | 陈常松 陈政清 颜东煌 |
| 作者单位： | 1. 中南大学土建学院,长沙,410075;长沙理工大学桥梁与结构工程学院,长沙,410076 2. 中南大学土建学院,长沙,410075 3. 长沙理工大学桥梁与结构工程学院,长沙,410076 |
| 基金项目： | 高等学校博士学科点专项科研项目;湖南省高校青年骨干教师培养基金 |
| 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。 |
| 关 键 词： | 桥梁工程 悬索桥 主缆 悬链线 迭代法 |
| 文章编号： | 1000-4750（2006）08-0062-07 |
| 收稿时间： | 2004-12-05 |
| 修稿时间： | 2004-12-052005-03-22 |
ACCURATE ITERATION METHOD TO CALCULATE THE INITIAL STATES OF MAIN CABLES OF SUSPENSION BRIDGES |
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| CHEN Chang-song,CHEN Zheng-qing,YAN Dong-huang.ACCURATE ITERATION METHOD TO CALCULATE THE INITIAL STATES OF MAIN CABLES OF SUSPENSION BRIDGES[J].Engineering Mechanics,2006,23(8):62-68. | |
| Authors: | CHEN Chang-song CHEN Zheng-qing YAN Dong-huang |
| Affiliation: | 1. 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 |
| 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. |
| Keywords: | bridge engineering suspension bridge cable catenary iteration method |
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