基于应力分析的桁架结构双向拓扑优化方法  

A stress based bi-directional topology optimization method for truss structures

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：《应用力学学报》2012年第3期269-273,352,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11132001;11072146;11002087);高校博士点基金(20110073110008)

摘　　要：结构拓扑优化问题的研究多是采用基结构的思路,通过删除在设计区域内的不必要单元来得到结构的最优拓扑构型。本文探索了一种增加单元与删除单元相结合的双向拓扑优化方法,采用了网格与杆件两类单元对桁架进行分析:在高应力杆件单元周围生成新网格单元,并且删除低应力的杆单元,结构逐渐进化,从而得到优化的拓扑构型。文章最后通过数值算例,表明该方法是可行的。The studies of structural topology optimization today are mostly based on the ground structure strategy,which obtains an optimal topology of a structure by eliminating non-optional elements from a design domain.This paper studies a bi-directional topology optimization method for truss structures using both adding and eliminating technologies.Grid elements and link elements are used in the proposed method.By adding grid elements around the link elements with high stress and eliminating the link elements with low stress,the structures evolve and optimal topologies can be obtained.Numerical examples carried out in this paper verify the feasibility of the proposed method.

关 键 词：桁架结构 双向拓扑优化 应力 

分 类 号：O342[理学—固体力学]