中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 1982, Vol. 1 ›› Issue (1): 11-28.

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Static and Dynamic Nonlinear Analyses of Cable-Stayed Bridges

Wang Xiangjian   

  • Online:1982-04-30 Published:2016-09-21

斜张桥非线性静力动力分析

王向坚   

Abstract: In this paper a space computation model for cable-stayed bridges is proposed. Having introduced the eccentric space thin-walled girder and the space combined cable elements, the author has derived element elastic stiffness matrix, geometric stiffness and masse matrix. The nonlinaer behaviour of cable tension which depends on the change of deflection is included in equivalent geometric stiffness. The nonlinear behaviours of beam and tower resulting from axial-flexual deformed interaction are considered. The nonlinear static equations are solved by modified iterative method. In dynamic analysis with the consideration of axial force effect the natural vibration property for systems of plane and spave is computed in consistant-mass matrix, so that data can be provided for determining critical wind velocity. In dynamic response analysis (earthquake and vehicle vibration) dynamic nonlinaarity is considered by using linearized mode superpostion method in order to use middle-small sized computers.

摘要: 提出空间计算模型。引入偏心空间薄壁梁单元及空间组合索单元,导出弹性刚度阵、几何刚度阵、质量阵。拉索张力随垂度变化的非线性由等效几何刚度计入。考虑梁、塔弯曲、轴向变形相互作用的非线性。修正迭代法解非线性静力方程。动力分析考虑轴力影响,采用一致质量阵计算平面和空间体系的自振特性,以提供临界风速数据。动态响应(车振、地震)采用线性化的振型迭加法考虑动态非线性,以便在中小型计算机上实现计算。

关键词: 非线性静力, 斜张桥, 动力分析, 临界风速, 拉索, 自振特性, 振型, 迭代法, 空间组合, 动态非线性