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A Structural Layout Optimization Method Considering Displacement Constraints

China Mechanical Engineering ›› 2012, Vol. 23 ›› Issue (24): 2984-2990.

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#br# A Structural Layout Optimization Method Considering Displacement Constraints

Yi Jijun1,2;Li Yanmei3;Rong Jianhua2;Zeng Tao1

1.Central South University,Changsha,410083
2.Changsha University of Science and Technology,Changsha,410004
3.Hunan Technical College of Water Resources and Hydroelectric Power,Changsha,410131

Online:2012-12-25 Published:2013-01-06
Supported by:

National Natural Science Foundation of China（No.10872036）;

National High-tech R&D Program of China (863 Program) （No. 2008AA04Z118）;
Hunan Provincial Science Research Program of Higher Education of China（No. 09C074）

考虑位移约束的结构布局优化方法

易继军1，2;李艳梅3;荣见华2;曾韬1

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

基金资助:
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)
National Natural Science Foundation of China（No.10872036）;

National High-tech R&D Program of China (863 Program) （No. 2008AA04Z118）;
Hunan Provincial Science Research Program of Higher Education of China（No. 09C074）

Abstract

Abstract:

A continuum structural optimum method considering simultaneously both the topology and the size design variables was investigated herein. In the proposed method,the combinatorial optimization of two kind of variables was transformed into continuous variables between 0 and 1 by normalization method and the RAMP(rational approximation of material properties) material model. Based on dual optimization method, a new solving algorithm of optimum model and an adjustment scheme of topology design space and size variables were presented. Two examples were given, the results show that the proposed method is of good convergence, and makes the optimum structure obtained be of good 0-1 distribution material property.

Key words: topology optimization;size optimization, displacement constraint, continuum structure, displacement constraint, design space adjustment

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。



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

CLC Number:

TH122

YI Ji-Jun-1, 2, LI Yan-Mei-3, RONG Jian-Hua-2, CENG Tao-1. #br# A Structural Layout Optimization Method Considering Displacement Constraints[J]. China Mechanical Engineering, 2012, 23(24): 2984-2990.

易继军1, 2, 李艳梅3, 荣见华2, 曾韬1. 考虑位移约束的结构布局优化方法[J]. 中国机械工程, 2012, 23(24): 2984-2990.

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#br# A Structural Layout Optimization Method Considering Displacement Constraints

考虑位移约束的结构布局优化方法

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