考虑主、散索鞍耦合效应的索鞍预偏量改进算法

基于对主缆和主、散索鞍的力学以及几何关系分析,考虑主、散索鞍的耦合效应,提出一种悬索桥索鞍预偏量的改进算法.算法根据索鞍平衡关系和变形相容条件以及主缆线形基本方程推导出一个十元非线性方程组,采用牛顿-拉斐森法求解方程组,即可同时得到主、散索鞍的预偏量.方法给出的初值选取原则和约束条件对平面缆索悬索桥的索鞍预偏量均能求解...

Improved Algorithm for Pre-offsetting of Saddles Considering Coupling Effect of Tower and Splay Saddles

Based on the analysis of the mechanical and geometric relations between the main cable,the tower and splay saddles,and considering the coupling effect of the tower and splay saddles,an improved algorithm for the pre-offsetting of the cable saddles of suspension bridges was proposed.According to the equilibrium relation of cable saddle,the compatible condition of deformation and the basic equation of main cable shape,a set of 10-element nonlinear equations was deduced,and the pre-offsetting of tower and splay saddles can be obtained by using Newton-Raphson method to solve the equations.The initial value selection principle and the constraint conditions given by the method can be used to solve the convergence of the pre-offsetting of the cable saddle of the plane cable suspension bridge.According to the analysis of calculation examples,compared with the existing methods,the proposed method has a faster iterative convergence speed with the computational accuracy that can meet the requirements.