大跨度悬索静力构形和内力计算方法

Caculation Method of Static Configuration and Internal Force of Long Suspended Cables

建立悬索重力曲线方程的差分形式,给出悬索在自重、索端移动、集中力作用下非线性分析的一种简单的有限差分法迭代模型。与有限元方法不同,本方法不需要悬索初始线形,只需要输入悬索两端坐标、索截面面积、弹性模量、初始张力,可计算悬索在不同状态下的张力和线形,算例表明该方法收敛速度快,精度高。

The differential form of gravity curve equation of suspended cable was established and a simple finite difference iterative model of suspension was proposed with non-linear analysis under conditions of its self-weight,cable-side movement and concentrated force.Unlike finite element methods,this method does not require an initial cable geometry,only need to input the end coordinates,area of cross section,elastic modulus and initial tension of the cable,then the deformed shape and tension under different conditions can be obtained.The example results show that this method has fast convergence and high accuracy.