计算力学学报Issue(3)：301-306,6.DOI:10.7511/jslx201503002
演化算法求解桁架多目标拓扑优化的收敛速度研究
A convergence speed study on evolutionary algorithms for solving truss multi-objective topology optimization
摘要
Abstract
Though evolutionary algorithms (EAs)are capable of satisfying the demands arising from the new advancements in structural topology optimization on global optimization,black-box function optimi-zation,combinatorial optimization and multi-objective optimization,the necessity of applying them to this field still depends on their convergence and computational efficiency simultaneously.This paper aims to reveal competent algorithms on these two aspects for stress constrained truss multi-objective topology optimization (MOTO)problems.We first propose a general method tailor-made for examining the convergence and efficiency of EAs on solving MOTO.The global optima of typical MOTO problems are rigorously derived using enumeration.Then multi-level convergence criteria are defined using hypervol-ume metric.The comparative study reveals outstanding EAs with greatest convergence speeds under different convergence requirement and the corresponding algorithmic mechanism.This way,this paper not only contributes to the theoretical foundation of solving MOTO problems using EAs,but also provides support for high efficiently solving practical engineering topology optimization problems.关键词
演化算法/收敛速度/桁架拓扑优化/多目标优化/应力约束Key words
evolutionary algorithm/convergence speed/truss topology optimization/multi-objective optimization/stress constraint分类
数理科学引用本文复制引用
胡浩,李刚..演化算法求解桁架多目标拓扑优化的收敛速度研究[J].计算力学学报,2015,(3):301-306,6.基金项目
973国家重点基础研究发展计划(2014CB046506,2014CB046803) （2014CB046506,2014CB046803）
国家自然科学基金(91315301,11372061)资助项目 （91315301,11372061）
