基于Steffens-Newton法的空间索形悬索桥初始平衡状态分析

空间索形悬索桥的主缆、吊索相互耦合，用数值解析法精确求解其初始平衡状态时，面临收敛困难、算法要求严格的问题。本文建立了空间缆索的平衡方程，推导了误差调整方程。分别证明了平面索形所常用的线形变化刚度法及影响矩阵法在空间索形中不再适用。基于可调参数的Steffens-Newton法，提出一种高效的空间缆索耦合体系分析方法，...

Initial equilibrium state analysis of suspension bridge with spatial cables based on Steffens-Newton algorithm

While calculating the initial equilibrium state of suspension bridge with spatial cables correctly,cable-hanger coupling system causes difficult convergence, and a rigorous approach is essential. In the paper, the equilibrium equation and the error adjustment equation of spatial cable-hanger system are established. The shape-change stiffness method and influence matrix method, which are widely used in plane cables, are proved inapplicable in spatial cables. Based on Steffens-Newton method with adjustable parameters, a rigorous analysis method for spatial cable-hanger coupling system is proposed.Program SN-ECFS is written. By the proposed method and pattern search method respectively, the calculation results of a numerical example are compared to indicate the precision and convergence efficiency of the proposed method.