华南理工大学学报(自然科学版) ›› 2008, Vol. 36 ›› Issue (6): 17-24.

• 土木建筑工程 • 上一篇    下一篇

自锚式悬索桥的主缆线形计算与误差分析

程斌孙海涛肖汝诚1   

  1. 1. 同济大学 桥梁工程系, 上海 200092;2. 上海市政工程设计研究总院, 上海 200092
  • 收稿日期:2007-07-20 修回日期:2008-02-28 出版日期:2008-06-25 发布日期:2008-06-25
  • 通信作者: 程斌(1979-),男,博士生,工程师,主要从事大跨度桥梁结构理论研究. E-mail:Tjadri_cb@163.com
  • 作者简介:程斌(1979-),男,博士生,工程师,主要从事大跨度桥梁结构理论研究.
  • 基金资助:

    高等学校博士学科点专项科研基金资助项目(20050247029)

Calculation and Error Analysis of Configuration of Main Cable for Self-Anchored Suspension Bridge

Cheng Bin1  Sun Hai-tao2  Xiao Ru-cheng1     

  1. 1. Department of Bridge Engineering, Tongji University, Shanghai 200092, China; 2. Shanghai Municipal Engineering Design General Institute, Shanghai 200092, China
  • Received:2007-07-20 Revised:2008-02-28 Online:2008-06-25 Published:2008-06-25
  • Contact: 程斌(1979-),男,博士生,工程师,主要从事大跨度桥梁结构理论研究. E-mail:Tjadri_cb@163.com
  • About author:程斌(1979-),男,博士生,工程师,主要从事大跨度桥梁结构理论研究.
  • Supported by:

    高等学校博士学科点专项科研基金资助项目(20050247029)

摘要: 介绍了基于分段悬链线法和抛物线法的自锚式悬索桥主缆线形计算的原理和步骤,考虑弯矩对加劲梁轴向刚度的影响,提出采用非线性规划方法进行迭代计算,所得计算结果与传统的影响矩阵法结果吻合.典型跨度自锚式悬索桥主缆线形的计算结果表明,抛物线法对成桥恒载状态的计算误差很小,一般可满足工程设计和施工的精度要求,但空缆吊点坐标和索鞍预偏量的计算误差很大.文中还针对不同矢跨比、跨度、边中跨比和主缆应力安全系数的自锚式悬索桥,采用抛物线法进行了主缆线形的误差分析.

关键词: 自锚式悬索桥, 分段悬链线, 轴向刚度, 影响矩阵, 非线性规划, 主缆, 线形, 索鞍预偏量

Abstract:

This paper introduces the theory and process of the configuration calculation of main cable for self-anchored suspension bridge based on the methods of segmental catenary and parabola, put forwards a nonlinear programming method for the iterative calculation by considering the flexural effect on the axial rigidity of the beam, and verifies the accordance of the proposed method with the traditional influence matrix method. It is demonstrated by the calculated results of self-anchored suspension bridge with typical span that, by using the parabola method, the calculation error of cable configuration of a completed bridge under constant loads is small enough for the general engineering design and construction, but the errors arising from the calculation of free cable coordinate and saddle pre-displacement are both significant. An error analysis of the configuration of the main cable for a self-anchored suspension bridge is finally performed by means of parabola method with respect to the rise-to-span ratio, the main span, the side span-to-middle span ratio and the stress safety coefficient of main cable.

Key words: self-anchored suspension bridge, segmental catenary, axial rigidity, influence matrix, nonlinear programming, main cable, configuration, saddle pre-displacement