机械科学与技术2018，Vol.37Issue(5)：774-780,7.DOI:10.13433/j.cnki.1003-8728.2018.0517
考虑随机和认知混合不确定性的稳健性分析与稳健设计方法
A Method for Robustness Analysis and Robust Design with Mixed Aleatory and Epistemic Uncertainties Considered
摘要
Abstract
A stochastic simulation method is proposed to analyze the quality robustness of a product whose quality index Y is influenced by aleatory and epistemic uncertainties.The epistemic uncertainty is characterized by the evidence theory,and then a random sampling method based on the random set theory is proposed for the epistemic uncertainty so that its random samples can be obtained according to its mass function.The aleatory uncertainty is directly sampled according to its probability distribution function,and it is not necessary for the aleatory uncertainty to be transformed into other types of uncertainty.By means of uncertainty analysis and computer simulation based on the above two random sampling methods,the uncertainty distribution of quality index Y is quantified by three statistical magnitudes of Y such as the width of mathematical expectation interval,the midpoint of expectation interval and the standard deviation of the subinterval midpoints.The above three statistical magnitudes are proposed as the evaluation indices of the quality robustness.For quality index Y with different characteristics,three different robust design criteria are put forward so that the robustness evaluation indices can be optimized.Finally,two typical examples prove that the proposed indices and criteria are rational and practical.关键词
随机不确定性/认知不确定性/不确定性分析/随机模拟方法/稳健性Key words
aleatory uncertainty/epistemic uncertainty/uncertainty analysis/computer simulation/robustness分类
机械制造引用本文复制引用
郭惠昕,锁斌,张干清..考虑随机和认知混合不确定性的稳健性分析与稳健设计方法[J].机械科学与技术,2018,37(5):774-780,7.基金项目
湖南省自然科学基金项目(13JJ6095,2015JJ2015)与长沙市科技计划项目(K1705012)资助 （13JJ6095,2015JJ2015）
