基于MOPSO算法的斜拉桥索力优化分析  

Optimization of cable tension of cable-stayed bridges based on multi-objective particle swarm optimization algorithm

作　　者：张玉平[1] 刘雪松[1] 李传习[1] Zhang Yuping;Liu Xuesong;Li Chuanxi(School of Civil Engineering,Changsha University of Science&Technology,Changsha 410114,P.R.China)

机构地区：[1]长沙理工大学土木工程学院,长沙410114

出　　处：《土木与环境工程学报（中英文）》2020年第2期107-114,共8页Journal of Civil and Environmental Engineering

基　　金：973计划(2015CB057702);湖南省教育厅创新平台资助项目(16005);贵州省重大科技专项计划([2016]3013-003)。

摘　　要：针对斜拉桥设计和监控计算中合理成桥状态和施工状态索力的确定问题,提出了一种基于MOPSO算法的斜拉桥索力优化方法。该方法在PSO算法的基础上通过增加外部储备集和优化更新策略来适应多目标、多约束的索力优化,较单目标优化方法仅有单一解的局限性,MOPSO算法考虑因素更全面,得到的Pareto最优解集可供决策者根据经验进一步筛选。采用Python编程语言,联合有限元软件编写基于该方法的优化程序,选取主塔、主梁的弯曲应变能之和,主塔成桥后在恒载作用下的纵桥向位移平方和作为目标函数,以施工过程及成桥后结构处于安全状态和索力总体分布均匀作为约束条件。工程算例优化结果表明,该方法能够快速搜寻到Pareto最优解集,并从中筛选出最优解,其结构应力处于安全范围,主塔线形合理,索力总体分布均匀。该方法可应用于斜拉桥成桥和施工阶段索力的确定及梁拱组合体系桥梁吊杆索力的确定。To solve the problem of determining reasonable completion state and construction state in cablestayed bridge design and monitoring calculation,a cable force optimization method based on MOPSO algorithm is proposed.This method adapts to multi-objective and multi-constraint cable force optimization by adding external reserve set and optimizing update strategy based on PSO algorithm.Compared with the single objective optimization method which has the limitation of single solution, MOPSO algorithm considers more comprehensive factors.The Pareto optimal solution set obtained by MOPSO algorithm can be further screened by decision makers based on experience.Python programming language and finite element software are used to compile the optimization program based on this method.The sum of the bending strain energy of the main tower and the main beam,and the sum of squares of longitudinal displacement under dead load is taken as the objective function after the completion of the bridge.The constraints are that the structure is in a safe state during the construction process and after the completion of the bridge and the overall distribution of cable forces is uniform.The optimization results of engineering examples show that the proposed method can quickly find the Pareto optimal solution set and select the optimal solution.The stress of the structure is in the safe range,the main tower is reasonable in alignment,and the overall distribution of cable forces is uniform.The method can be applied to determine the cable force in completion and construction of cable-stayed bridge and the suspender force of girder and arch combination bridge.

关 键 词：斜拉桥 索力优化 粒子群优化算法 多目标优化 有限元 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]