基于随机响应面法的响应灵敏度分析及稳健优化设计  

Response Sensitivity Analysis and Robust Design Based on Stochastic Response Surface Method

作　　者：乔红威[1] 吕震宙[1] 李洪双[1] 

机构地区：[1]西北工业大学,西安710072

出　　处：《中国机械工程》2009年第3期337-341,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(10572117;50875213);新世纪优秀人才支持计划项目(NCET-05-0868);航空基础基金资助项目(2007ZA53012);国家863高技术研究发展计划资助项目(2007AA04z401)

摘　　要：基于随机响应面法,建立了随机结构响应统计矩的灵敏度分析方法,并将其用于结构稳健优化设计。所建立的方法利用随机响应面法将隐式的结构响应函数转换成显式函数,在显式的响应函数基础上求解响应的均值、标准差以及对应的灵敏度,所求出的响应灵敏度能为基于函数梯度的优化算法提供梯度信息。算例表明,所建立的灵敏度分析方法具有较高的效率和精度,提高了结构稳健优化设计的效率。For calculating the first two statistical moments of structural response and sensitivity analysis of stochastic structures,a new response sensitivity analysis method was presented on the basis of stochastic response surface method（SRSM）. Then the method was applied to structural robust design problem. The implicit structural response function was transformed to an explicit function by SRSM,and mean value, standard variance and the sensitivity of structural response can be obtained from the explicit function. Furthermore, the response sensitivity can also provide gradient information for gradient based optimization algorithm. Two examples demonstrate the efficiency and precision of the presented method, and the design efficiency of structural robust design was improved.

关 键 词：随机结构 灵敏度分析 随机响应面法 稳健优化 

分 类 号：TH122[机械工程—机械设计及理论]