李传习, 刘光栋, 柯红军. 悬索桥主缆系统数值解析法计算的一种收敛算法[J]. 工程力学, 2008, 25(7): 66-073.
引用本文: 李传习, 刘光栋, 柯红军. 悬索桥主缆系统数值解析法计算的一种收敛算法[J]. 工程力学, 2008, 25(7): 66-073.
LI Chuan-xi, LIU Guang-dong. A CONVERGENT ALGORITHM FOR NUMERICAL-ANALYTIC METHOD OF CALCULATING MAIN CABLE SYSTEM OF SUSPENSION BRIDGE[J]. Engineering Mechanics, 2008, 25(7): 66-073.
Citation: LI Chuan-xi, LIU Guang-dong. A CONVERGENT ALGORITHM FOR NUMERICAL-ANALYTIC METHOD OF CALCULATING MAIN CABLE SYSTEM OF SUSPENSION BRIDGE[J]. Engineering Mechanics, 2008, 25(7): 66-073.

悬索桥主缆系统数值解析法计算的一种收敛算法

A CONVERGENT ALGORITHM FOR NUMERICAL-ANALYTIC METHOD OF CALCULATING MAIN CABLE SYSTEM OF SUSPENSION BRIDGE

  • 摘要: 从理论上证明了索段状态方程存在无解的情形,提出了在设计基准温度下成桥状态主缆系统数值解析法求解的迭代计算中存在收敛路径寻找的问题。针对已有数值解析法可能得不到解的缺陷,引入搜索算法和惩罚因子,对其进行改进,给出了惩罚因子的合理取值公式和改进后数值解析法的迭代步骤,确保了各种荷载情况的设计基准温度成桥状态主缆系统计算的快速高精度收敛。给出了数值解析法改进前不能收敛而按该方法改进后能收敛的算例。

     

    Abstract: It is theoretically proved that there not, in some cases, exist solution for the state equation of cable segments of suspension bridges. The problem that the convergent path in the numerical-analytical method should be searched in the iterative calculations for main cables system of suspension bridge in the finished dead state at design base temperature is solved. Aim at the shortcomings of the old numerical-analytical method that there would be no solution obtained sometimes, a search algorithm with the penalty factor is introduced to improve it. The formula for determining the proper value of the penalty factor is derived. An iterative procedure with high precision and speed is established and the convergence requirement can be satisfied. A testing example has proved that the improved method is effective while the unimproved method can’t converge.

     

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