连续结构拓扑优化的一种简单实现  

SIMPLE APPROACH TO STRUCTURAL TOPOLOGY OPTIMIZATION FOR CONTINUOUS 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：《机械强度》2012年第5期687-691,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金重点项目(11132001、11072146、11272202);教育部博士点基金(2011007311008)资助~~

摘　　要：通过基结构的方式,给出一种连续结构拓扑优化的简单方法。该方法通过比较相邻两次迭代过程中结构各单元的性能指标,计算出下一迭代步中的优化变量值,基结构中多余的单元被删除,从而获得结构的最优拓扑构型。利用该计算思路,分别介绍von Mises应力和应变能约束下连续结构的拓扑优化方法,通过若干数值算例验证所给方法是有效和可行的。Based on the ground structure approach, a simple topology optimization method for continuous structures was presented. By comparing element performance indexes between two adjacent iterations, the values of optimization variables for the next iteration were calculated. Non-optimum elements in the ground structure were eliminated. So the optimum topologies were obtained. Based on this strategy, optimization methods for continuous structures subjecting to yon Mises stress or strain energy constraints were outlined. Several numerical examples were given to verify the feasibility of this method.

关 键 词：连续结构 拓扑优化 von Mises应力 应变能 

分 类 号：TB115.2[理学—数学] TB121[理学—应用数学]