Von Mises应力约束的连续结构的一种双向拓扑优化方法  

A Bi-directional Optimization Method for Continuous Structures Subject to Von Mises Stress Constraints

作　　者：何林伟[1] 蔡国平[1] 

机构地区：[1]上海交通大学工程力学系,海洋工程国家重点实验室,上海200240

出　　处：《力学季刊》2011年第1期19-27,共9页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(11072146,10772112,11002087);教育部博士点基金(20070248032);上海市教委科研重点项目(09ZZ17);海洋工程国家重点实验室自主研究课题(GKZD010807)资助项目

摘　　要：本文依照双向进化结构拓扑优化方法(BESO)的基本思路,采用一种双区域技术,设计了一种双向进化拓扑优化方法,将设计区域划分为两个区域:用于显示结构拓扑构型的前台区域以及用于搜索单元可能生长方向的后台区域。根据结构有限元计算确定单元所在区域,并根据不同的区域,增加或删除结构单元,从而获得最优的拓扑构型。文章最后通过数值算例验证了该方法的可行性。Following the original ideas in the bi-directional evolutionary structural optimization,a bi-directional topology optimization method was designed by using a bi-region technique.The design domain is divided into two regions： foreground region which indicates optimal topology and background region which searches element growth direction.The elements were placed in foreground region or background region based on the finite element method results.In addition,the elements were added or removed according to the regions they occupy.Finally,the optimization finds an optimal topology.Numerical examples are carried out to verify this method.

关 键 词：拓扑优化 Von Mises应力 双向进化 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]