基于灵敏度分析的区间不确定性稳健设计

摘要/Abstract

摘要： 针对机电产品优化设计中存在的大量不确定性因素，在灵敏度分析的基础上提出了区间不确定性稳健设计方法。首先探讨了灵敏度分析理论，借用Sobol'法筛选出对系统影响较大的因素并将不灵敏项进行固化；然后根据区间不确定性因素的特性，分析了不确定因素在某一区间变化时对系统整体的影响；最后给出了基于灵敏度分析的区间不确定性稳健设计优化模型。工程实例证明了该方法的有效性。

关键词: 不确定性, 灵敏度分析, Sobol'法, 区间不确定性, 稳健设计

Abstract: In order to solve the uncertain factors in the design optimization of mechanical and electrical products, a robust design method for interval uncertainty was proposed based on sensitivity analysis. Firstly， discussed the Sobol' method of the sensitivity analysis theory, the factors which had great influences on the system were selected. Secondly, by using the characteristics of interval uncertainty factors and the effects of uncertain factors on the whole system were analyzed in a certain interval. Finally, a robust design optimization model for interval uncertainty was given based on sensitivity analysis. The effectiveness of the proposed method was proved by an engineering examples.

Key words: uncertainty, sensitivity analysis, Sobol' method, interval uncertainty, robust design

中图分类号:

TH122

许焕卫；李沐峰；王鑫；胡聪；张遂川. 基于灵敏度分析的区间不确定性稳健设计[J]. 中国机械工程.

XU Huanwei；LI Mufeng；WANG Xin；HU Cong；ZHANG Suichuan. Robust Design of Interval Uncertainty Based on Sensitivity Analysis[J]. China Mechanical Engineering.

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