考虑位移约束的结构布局优化方法  

A Structural Layout Optimization Method Considering Displacement Constraints

作　　者：易继军[1,2] 李艳梅[3] 荣见华[2] 曾韬[1] 

机构地区：[1]中南大学,长沙410083 [2]长沙理工大学,长沙410004 [3]湖南水利水电职业技术学院,长沙410131

出　　处：《中国机械工程》2012年第24期2984-2990,共7页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(10872036);国家高技术研究发展计划(863计划)资助项目(2008AA04Z118);湖南省高等学校科学研究项目(09C074)

摘　　要：研究了一种同时考虑拓扑优化和尺寸优化的连续体结构优化方法。在提出的方法里,结合材料属性的有理近似模型,采用归一化处理方法将两类变量的组合优化问题转化成[0,1]区间的连续变量优化问题。基于对偶优化方法,提出了一套优化模型的求解算法。利用该方法能对拓扑设计空间进行调整,并调整尺寸变量。提出的方法具有较好的收敛性,能够获得具有较好0-1分布的拓扑结构。A continuum structural optimum method considering slmultaneou^y uuti ewv~,~ and the size design variables was investigated herein. In the proposed method ,the combinatorial opti- mization of two kind of variables was transformed into continuous variables between 0 and 1 by nor- malization method and the RAMP （rational approximation o{ material properties） material model. Based on dual optimization method, a new solving algorithm o{ optimum model and an adjustment scheme of topology design space and size variables were presented. Two examples were given, the re- sults show that the proposed method is of good convergence, and makes the optimum structure ob- tained be of good O=1 distribution material property.

关 键 词：拓扑优化 尺寸优化 连续体结构 位移约束 设计空间调整 

分 类 号：TH122[机械工程—机械设计及理论]