悬索结构振动分析的悬链线索元法

本文介绍了由悬链线基本关系构造的悬链线索元刚度矩阵的迭代方法，对于索中张力己知原长未知的情况给出了确定悬索原长的线性搜索算法。文中建立了悬索绕平衡位置振动的动力学方程并通过香港青马大桥主索的分析计算与相应测试结果对比对本文方法作了验证。该方法优于现有的抛物线类索元方法，在悬索结构分析中具有一定的实用价值。

CATENARY ELEMENT APPROACH FOR CABLE STRUCTURE VIBRATION ANALYSIS

The accurate modeling of cable behavior is of vital importance in the analysis anddesign of cable-supported stFUctures. In this paper, an itCfative approach of forming the cableelement stiffness matrix from the basic catenny relationships was introduced. Meanwhile, anefficient iterative scheme that calculates the elemental free length based on a linear searchalgorithm was also proposed for a cable element with given tension, which allows efficientcalculation of cable StrUc'tUres with different initial conditions. The vibration equations for smalloscillation about nonlinear equilibrium were derived. One application to the famous Tsing Malong span cable suspended bridge was presented, in which the free vibration analyses of both thelocal cable and the whole tower-cable system as a cable-beam compounded structUre werecarried out and compared with the in situ measurement.