现代制造工程Issue(8):19-28,82,11.DOI:10.16731/j.cnki.1671-3133.2017.08.004
多位移约束下渐进结构拓扑优化设计
Evolutionary structural topology optimization designs with multiple displacement constraints
摘要
Abstract
The Evolutionary Structural Optimization(ESO) method is easily utilized to be programmed,and is of wide engineering applications,and may be adopted to obtain the optimum structure with black and white distribution material property.However,it's difficult to solve the problem of multi-constrained topology optimization by using it.To extend this method to the case of multiconstrained topology optimization,for the problem of topology optimization with multiple displacement constraints,the relationship between the stiffness and the topology variables is built by using the Rational Approximation for Material Properties(RAMP),and a series of approximate models and a smooth dual algorithm are constructed to solve Lagrange multipliers.Then,the calculation formula of element sensitivities and a novel evolutionary structural optimization algorithm are given.Finally,two examples are presented to demonstrate the validity and effectiveness of the proposed method.关键词
多位移约束/渐进结构优化/拓扑优化/拉格朗日乘子Key words
multiple displacement constraints/evolutionary structural optimization/topology optimization/Lagrange multiplier分类
机械制造引用本文复制引用
谢亚军,荣见华,俞燎宏,朱海锋,李方义..多位移约束下渐进结构拓扑优化设计[J].现代制造工程,2017,(8):19-28,82,11.基金项目
国家自然科学基金项目(11372055,11302033) (11372055,11302033)