RESEARCH ON DYNAMIC SYSTEM RELIABILITY MODEL OF HIGH DIMENSIONAL COPULA FUNCTION

FENG Jun; LIU Wei; TAN Long; LI Yi

doi:10.16579/j.issn.1001.9669.2022.01.012

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RESEARCH ON DYNAMIC SYSTEM RELIABILITY MODEL OF HIGH DIMENSIONAL COPULA FUNCTION

更新时间：2022-09-22

- RESEARCH ON DYNAMIC SYSTEM RELIABILITY MODEL OF HIGH DIMENSIONAL COPULA FUNCTION
- Journal of Mechanical Strength Vol. 44, Issue 1, Pages: 86-94(2022)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所
  2. 中国科学院大学
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2022.01.012
  CLC：
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FENG Jun, LIU Wei, TAN Long, et al. RESEARCH ON DYNAMIC SYSTEM RELIABILITY MODEL OF HIGH DIMENSIONAL COPULA FUNCTION. [J]. 44(1):86-94(2022)
DOI：

FENG Jun, LIU Wei, TAN Long, et al. RESEARCH ON DYNAMIC SYSTEM RELIABILITY MODEL OF HIGH DIMENSIONAL COPULA FUNCTION. [J]. 44(1):86-94(2022) DOI： 10.16579/j.issn.1001.9669.2022.01.012.

摘要

针对多失效相关的动态机械系统,利用Copula函数描述各单元之间失效模式的相关性,提出了一种具有多失效相关的动态机械系统可靠性模型,采用R-Vine Copula函数将复杂系统的可靠性问题转化为多个二维Pair Copula函数进行分析,利用最大生成树算法(MST)选定最优R-Vine结构,通过非参数核密度估计(KDE)对模型中的时变参数进行描述,并重点对机械系统中常见的串-并联系统(混联系统)进行建模分析,最后通过航天器开闭轴系的算例,验证该模型的有效性。

Abstract

Aiming at the dynamic mechanical system with multiple failure correlation, the copula function is used to describe the correlation of failure modes among units, and a reliability model of dynamic mechanical system with multiple failure correlations is proposed. The reliability problem of complex system is transformed into multiple two-dimensional pair copula functions by using R-Vine copula function. The optimal R-Vine structure is selected by using MST algorithm. The time-varying parameters in the model are described by nonparametric kernel density estimation（KDE）. The common series parallel system（hybrid system） in mechanical system is modeled and analyzed. Finally, the effectiveness of the model is verified by an example of spacecraft open and close shafting.

关键词

R-Vine Copula函数串-并联系统非参数核密度估计(KDE)可靠性

Keywords

R-Vine Copula functionSeries-parallel systemNonparametric kernel density estimation（KDE）Reliability

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