悬索桥几何非线性及主缆受力分析

Geometrically Nonlinear Analysis of Suspension Bridge and Properties of Its Main Cable

利用离散、节点平衡求解、系统平衡协调迭代的方法求得具有确定长度的缆索在荷载作用下的曲线形式,详细分析了缆索在荷载作用下的挠度及变形。然后将悬索桥分为两大子结构,即主缆柔性结构,及加劲梁、塔柱等劲性结构。在两大子结构间的耦合点建立平衡方程,进行直接迭代求解。文中并对目前较为常用的结构几何非线性求解法进行了深入的探讨。通过算例证明本文方法不仅计算简单,迭代自由度少,而且计算结果完全可以与精确解媲美,完全克服了非线性方程求解中解的飘移现象。

This article deeply analyzes the curve form, deflection and deformation of the length given cable under various loads by the method of discretization, solution of nodal equilibrium, and iterative solution of the whole system balance. The whole bridge is divided into two substructures,i, e. ,flexible cable and stiff beam and towers. Equilibrium equation is set up between the substructure＇s joints. A direct iterative method is used in its solution. This paper also deeply discusses the commonly used methods of nonlinear equation＇s solution. By examples, it is proved that the method used in this paper is very simple. It has fewer degrees of freedom, and the result is nearly the same as exact solution. The result＇s floating is fully limited.