斜拉索分析统一理论及其应用

通过对现有各种斜拉索分析理论进行分析,基于悬链线索单元理论,将斜拉桥单索问题分成两类,提出了斜拉索分析的统一理论。该理论可以精确、统一地求解斜拉桥计算中几乎所有的单索静力问题,可方便地将悬链线索单元引入斜拉桥施工阶段和使用阶段的分析中。根据悬链线索单元理论和等效弹模法,对比分析了不同长度、不同应力水平的斜拉索的各种特性。计算结果表明:水平长度超过400 m的斜拉索的非线性将急剧增大,采用等效模量法模拟斜拉索将引起较大的误差;有些误差即使增加计算的荷载步个数也无法减小。超大跨度斜拉桥施工阶段分析中建议采用高精度的悬链线索单元模拟斜拉索。

Unified Analysis Theory of Cable Stay and Its Applications

By analyzing all kinds of analysis theory of cable stays,the problems about cable stays were divided into two kinds,and based on the theory of catenary cable element,a unified analysis theory of cable stays was put forward.It could solve almost all static problems about single cable stay accurately and consistently.Authors made it easy to apply the catenary element to analysis of cable-stayed bridges.Based on the theory of catenary cable element and equivalent modulus of elasticity,cable characteristics which had different length and different stress were studied comparatively.It was concluded that nonlinearity of cable stays became more significant dramatically when its length exceeded 400 m.The error of the method of equivalent modulus of elasticity may be very large.Some kinds of errors can not be decreased even increase the number of load steps.It is recommended to use catenary cable element in the analysis of super long span cable-stayed bridges.