基于模拟植物生长算法的桁架结构截面与形状优化分析  

Optimization Analysis of Section and Shape of Truss Structures Based on Improved Plant Growth Simulation Algorithm

作　　者：林金龙 石开荣[2] 姜正荣[2] LIN Jinlong;SHI Kairong;JIANG Zhengrong(Guangdong Architectural Design&Research Institute Co.,Ltd.,Guangzhou 510010,China;School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510641,China)

机构地区：[1]广东省建筑设计研究院有限公司,广州510010 [2]华南理工大学土木与交通学院,广州510641

出　　处：《华南地震》2023年第1期23-28,共6页South China Journal of Seismology

基　　金：广东省现代土木工程技术重点实验室课题(2021B1212040003)。

摘　　要：针对桁架结构优化问题,给出基于改进的生长空间限定与并行搜索的模拟植物生长算法(GSL&PS-PGSA)优化模型,对典型平面桁架、空间桁架结构分别进行截面优化及形状优化分析,结果表明:改进GSL&PS-PGSA算法的优化效果显著,其优化所得结构经济高效;对于平面桁架截面优化,相比二级优化法、相对差商法及连续变量法,改进GSL&PS-PGSA所得结构较其减少了8%~15%的用钢量;对于空间桁架优化,截面优化所得结构总质量较序列两级算法轻约8.1%,较蚁群算法轻约3.6%,而形状优化所得结构总质量则分别较序列两级算法、蚁群算法轻约31.2%、22.4%。因此,改进的GSL&PS-PGSA算法对桁架结构优化问题具有良好的适用性。Aiming at the optimization of truss structures,the optimal model of improved simulated plant growth algorithm GSL&PS-PGSA is given,and is used to analyze the section optimization problem of typical plan truss and shape optimization problem of typical space truss.The results show that the optimization effect of the improved GSL&PS-PGSA is remarkable,and the optimized structures are economical and efficient;for the section optimization of plan truss,compared with the structures obtained by the two-level optimization method,relative difference quotient method and continuous variable method,the steel consumption of the structure obtained by the improved GSL&PS-PGSA is reduced by 8%to 15%;for the optimization of space truss,the total mass of the optimized structure by section optimization is about 8.1%and 3.6%lighter than that of sequential two-level algorithm and ant colony algorithm respectively,while the total mass of the optimized structure by shape optimization of the same initial structure is about 31.2%and 22.4%lighter than that of sequential two-level algorithm and ant colony algorithm respectively.Thus,the improved GSL&PS-PGSA has good applicability to the optimization problem of truss structure.

关 键 词：模拟植物生长算法 桁架 截面优化 形状优化 

分 类 号：TU393.3[建筑科学—结构工程]