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采用自动分组遗传算法的频率约束下桁架拓扑优化
引用本文:刘晓峰,阎军,程耿东.采用自动分组遗传算法的频率约束下桁架拓扑优化[J].计算力学学报,2011,28(1):1-7.
作者姓名:刘晓峰  阎军  程耿东
作者单位:大连理工大学,工程力学系,工业装备与结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金(90816025,50878038,10902018)资助项目.
摘    要:研究了带有频率约束的桁架结构拓扑优化问题.首先比较了同为铰结情况下采用两种不同单元-杆单元和梁单元模拟对频率计算结果的影响,发现杆模型会丢失杆件弯曲振动模态,得到的最大自振频率设计往往含有很细截面的杆件,而实际上具有很低的频率.为克服这一困难,并考虑到实际工程结构的结点具有一定的刚性,建议此类优化问题可以采用刚架模型进...

关 键 词:自动分组  遗传算法  频率约束  桁架拓扑优化
收稿时间:2009/11/16 0:00:00
修稿时间:2010/6/12 0:00:00

Topology optimization of skeletal structures with frequency constraints based on automatic grouping genetic algorithm
LIU Xiao-feng,YAN Jun and CHENG Geng-dong.Topology optimization of skeletal structures with frequency constraints based on automatic grouping genetic algorithm[J].Chinese Journal of Computational Mechanics,2011,28(1):1-7.
Authors:LIU Xiao-feng  YAN Jun and CHENG Geng-dong
Institution:State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
Abstract:Based on the study of topology optimization of skeletal structures with frequency constraints, the paper found that the optimum structure from the truss model which includes some thin bars often had low frequencies and was unreasonable. However, the rigid frame model which was suggested to use may result in the difficulty of singular optimum. Further, the automatic grouping genetic algorithm (AGGA) was improved to overcome the singular difficulty and achieve the optimum topology. At last, the rigid frame model together with improved AGGA was used to optimize a skeletal structure topology with frequency constraints and received good effect.
Keywords:automatic grouping  genetic algorithm  frequency constrains  truss topology optimization
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