基于比例微分优化准则的拓扑优化方法

中国机械工程 ›› 2011, Vol. 22 ›› Issue (3): 345-350.

基于比例微分优化准则的拓扑优化方法

赵龙彪1;高亮1;陈志敏2;邱浩波1

1.华中科技大学数字制造装备与技术国家重点实验室，武汉，430074

2.中国舰船研究设计中心，武汉，430064

出版日期:2011-02-10 发布日期:2011-03-02
基金资助:
国家自然科学基金资助项目(50705032)；教育部新世纪优秀人才计划资助项目(NCET-08-0232)；国家高技术研究发展计划(863计划)资助项目(2007AA04Z120)
National Natural Science Foundation of China（No. 50705032）;

Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET-08-0232）;
National High-tech R&D Program of China (863 Program) （No. 2007AA04Z120）

A Proportional and Differential Optimality Criterion Method for Topology Optimization

Zhao Longbiao1;Gao Liang1;Chen Zhimin2;Qiu Haobo1



1.The State Key Laboratory of Digital Manufacturing Equipment and Technology Huazhong University of Science and Technology, Wuhan,430074

2.China Ship Development and Design Center,Wuhan,430064

Online:2011-02-10 Published:2011-03-02
Supported by:

National Natural Science Foundation of China（No. 50705032）;

Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET-08-0232）;
National High-tech R&D Program of China (863 Program) （No. 2007AA04Z120）

摘要/Abstract

摘要：

在优化准则法的基础上，提出一种基于比例微分控制思想的优化准则方法（proportional and differential optimality criterion,PDOC），并将其运用到拓扑优化设计中。针对优化准则法求解速度慢以及因误差的未知性所引起的超调现象，PDOC法通过引入比例微分控制来改进迭代算子，构造更合理的数值迭代公式以加快收敛。利用加入比例微分控制的求解算法，计算新的材料密度分布，以预测误差的变化趋势，提前抑制误差，有效避免求解过程中的震荡和超调现象，进而提高求解速度。最后，通过实验验证了PDOC方法的有效性和正确性。

关键词:

拓扑优化, 优化准则法, 迭代算子, 比例微分控制



Abstract:

Based on optimality criterion method, a proportional and differential optimality criterion（PDOC） method was proposed and applied in topology optimization design. Since the phenomenon of low efficiency and overshoot caused by the uncertain deviation, this method introduced the proportional and differential control to improve the iteration operator, and constructed more reasonable iteration formula to accelerate the convergence. A new algorithm was utilized to calculate the density distribution of new material, so the trend of deviation can be predicted and corrected in advance. Finally, experimental results indicate that PDOC method is feasible and efficient. 

Key words:

topology optimization, optimality criteria method, iteration operator , proportional and differential control

中图分类号:

TH11
TU311

赵龙彪, 高亮, 陈志敏, 邱浩波.

基于比例微分优化准则的拓扑优化方法

[J]. 中国机械工程, 2011, 22(3): 345-350.

DIAO Long-Biao, GAO Liang, CHEN Zhi-Min, QIU Gao-Bei.

A Proportional and Differential Optimality Criterion Method for Topology Optimization

[J]. China Mechanical Engineering, 2011, 22(3): 345-350.

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