摘要
为了解决精密工程、航空航天、微机电系统领域复杂装备精密产品在设计参数不确定性情形下,其性能质量波动、优化求解效率低下的工程难题,提出一种基于多项式混沌扩展的6σ稳健优化设计新方法。首先,基于随机响应面法和有限元数值模拟方法,构建了复杂装备精密产品目标响应和约束响应的多项式混沌扩展代理模型;其次,在此基础上结合6σ稳健优化设计方法,建立了复杂装备精密产品多项式混沌扩展6σ稳健优化设计模型,并采用NSGA-Ⅱ算法对模型进行求解;最后通过算例验证了所提方法的有效性。
To solve quality variation and low optimization efficiency of difficult engineering problems of complicated equipment products which under random uncertain conditions in precision engineering,aerospace,micro-electromechanical systems,the new method combined with polynomial chaos expansion theory and six sigma robust optimization designs was presented.Based on stochastic response surface and finite element method,the polynomial chaos extension surrogate model for target response and constraint response of complex equipment products was established.A polynomial chaos extension six sigma robust optimization design model was built on this basis,and NSGA-Ⅱ algorithm was utilized to solve the model.The numerical results showed the effectiveness of the proposed method.
作者
万良琪
陈洪转
欧阳林寒
张笛
WAN Liangqi;CHEN Hongzhuan;OUYANG Linhan;ZHANG Di(College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)
出处
《计算机集成制造系统》
EI
CSCD
北大核心
2018年第5期1240-1248,共9页
Computer Integrated Manufacturing Systems
基金
国家自然科学基金资助项目(71372080
71702072
71573115)
江苏省自然科学基金资助项目(BK20170810)~~
关键词
多项式混沌扩展
稳健优化设计
不确定性
复杂装备
polynomial chaos expansion
robust optimization design
uncertainty
complex equipment
