基于遗传算法的斜拉桥成桥索力优化应用研究  

Application of Completed Cable Force Optimization of Cable-Stayed Bridge Based on Genetic Algorithm

作　　者：王涛[1] 胡宇鹏[2] 张兴标 王路 WANG Tao;HU Yupeng;ZHANG Xingbiao;WANG Lu(School of Civil Engineering and Architecture,Southwest University of Science and Technology,Mianyang 621000,Sichuan,China;Institute of System Engineering,China Academy of Engineering Physics,Mianyang 621999,Sichuan,China)

机构地区：[1]西南科技大学土木工程与建筑学院,四川绵阳621000 [2]中国工程物理研究院总体工程研究所,四川绵阳621999

出　　处：《重庆交通大学学报（自然科学版）》2023年第6期9-17,23,共10页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：国家自然科学基金项目(51708468);西南科技大学博士基金项目(20zx7125)。

摘　　要：为研究智能优化算法在斜拉桥索力优化中的应用,将遗传算法与有限元算法进行嵌入式融合,以自主开发的有限元程序为基础,使用杆、梁单元构建大跨度公铁两用斜拉桥全桥三维有限元计算模型,讨论了索力对于各个单元节点弯矩的影响矩阵计算方法。建立了2种索力优化目标函数,使用MATLAB集成的遗传算法工具箱进行求解,同时给出了可以直接应用的计算代码,探讨不同目标函数的优化计算结果差别;使用多项式拟合方法对索力优化结果进行调整,讨论了考虑、不考虑几何非线性效应的成桥状态计算结果差别。研究结果表明:使用基于遗传算法的智能随机搜索可有效地求解与索力相关的目标函数极值,辅助桥梁设计人员得到最优的斜拉桥成桥索力。In order to study the application of intelligent optimization algorithm in cable force optimization of cablestayed bridge,genetic algorithm and finite element algorithm were embedded and combined.Based on the selfdeveloped finite element program,a 3D FEM calculation model of the whole large-span cable-stayed bridge for both highway and railway use was established by using rod and beam elements,and the calculation methods of the influence matrix of cable force on the bending moment of each element node were discussed.Two kinds of cable force optimization objective functions were established and solved by using the genetic algorithm toolbox integrated by MATLAB.Meanwhile,the calculation codes which could be directly applied were given,and the difference of optimization results of different objective functions was discussed.Polynomial fitting method was used to adjust the cable force optimization results,and the difference between the calculation results of bridge state with and without considering geometrical nonlinear effect was discussed.The research results show that the intelligent random search based on genetic algorithm can effectively solve the extremum of the objective function related to cable forces and assist bridge designers to obtain the optimal cable forces of cable-stayed bridges.

关 键 词：桥梁工程 斜拉桥 遗传算法 斜拉索 索力优化 

分 类 号：U442.5[建筑科学—桥梁与隧道工程] TU311.3[交通运输工程—道路与铁道工程]