考虑异强度相关性下多元退化系统的可靠性置信评估OACSTPCD
Confidence Evaluation of Reliability of Multivariate Degenerate System Considering Different Strength Dependence
针对具有多个性能退化模式的航空发动机工作系统,考虑个体差异性和差异强度相关性,提出一种基于随机相关性的可靠性置信评估方法.以具有随机效应的Wiener 随机过程和Gamma 随机过程分别对各性能退化失效过程进行描述,利用相关参数随机化的Copula函数对多元性能参数的相依程度进行建模,推导出基于Clayton Copula函数模型的可靠度置信区间界点解析表达式,采用边缘函数推断法通过2步优化估计模型中的未知参数,建立整体可靠度评估模型.结合航空发动机EGTM和ZVB2R性能的退化数据,建立整体可靠度模型,完成综合评估,得到寿命区间为(1.033×104,1.278×104)次循环数,实例验证了模型的可行性和准确性.
For aero-engine operating systems with multiple performance degradation modes,a reliability confidence evaluation method based on random correlation is proposed considering individual differences and different strength correlations.The Wie-ner random process and Gamma random process with random effects were used to describe the performance degradation failure processes respectively.The Copula function of the randomization of relevant parameters was used to model the degree of depen-dence of multiple performance parameters.An analytical expression of the boundary point of the confidence interval based on the Clayton Copula function model is derived,and an overall reliability evaluation model is established by using the edge function infer-ence method to estimate the unknown parameters in the model through two-step optimization.Combined with the performance deg-radation data of aero-engine EGTM and ZVB2R,the overall reliability model was established,and the comprehensive evaluation was completed.The life interval was obtained as(1.033×104,1.278×104)cycles.The feasibility and accuracy of the model were verified by an example.
缪思巧;凡红梅;袁非梦
西南交通大学数学学院统计系,四川 成都 611756
数学
多元退化随机过程Copula函数随机相关性置信区间
multivariate degradationrandom processCopula functionrandom correlationconfidence interval
《计算机与现代化》 2024 (002)
108-113 / 6
国家自然科学基金资助项目(U1830133)
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