考虑不同失效相关性的系统可靠性分配方法

doi:10.3901/JME.2018.24.206

机械工程学报 ›› 2018, Vol. 54 ›› Issue (24): 206-215.doi: 10.3901/JME.2018.24.206

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考虑不同失效相关性的系统可靠性分配方法

张玉刚¹, 孙杰², 喻天翔¹

1. 西北工业大学航空学院西安 710072;
2. 西安机电信息技术研究所西安 710065

收稿日期:2017-12-03 修回日期:2018-06-05 出版日期:2018-12-20 发布日期:2018-12-20
通讯作者: 张玉刚(通信作者),男,1980年出生,博士,讲师。主要研究方向为人机与环境工程、机械可靠性。E-mail:zhangyugang@nwpu.edu.cn
基金资助:
国家自然科学基金资助项目（51675428）。

A Reliability Allocation Method Considering Failure Correlation Based on Vine Copula

ZHANG Yugang¹, SUN Jie², YU Tianxiang¹

1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072;
2. Xi'an Institute of Electromechanical Information Technology, Xi'an 710065

Received:2017-12-03 Revised:2018-06-05 Online:2018-12-20 Published:2018-12-20

摘要/Abstract

摘要： 为考虑系统组成单元间不同失效相关性对系统可靠性分配结果的影响，将影响系统可靠性分配的因素分为直接和间接两类，提出将复杂度和失效危害度作为直接影响因素，用于确定组成单元可靠性分配权重的相对大小。将工作环境、技术水平、改进成本等归为间接影响因素，引入相对分散性描述系统组成单元失效相关性，提出基于相对分散性的复杂度和危害度计算方法。基于Vine Copula函数建立考虑组成单元间不同失效相关性的串联系统可靠性分配模型，最后以某型数控机床主轴系统为例，进行不考虑相关性和考虑相关性两种情况下的系统可靠性分配结果对比分析，结果表明不考虑失效相关性得到的分配结果过于保守，增加产品研制费用。使用Vine Copula函数建立的系统可靠性分配模型能够考虑组成单元间不同的失效相关性，分配结果与传统多元Copula函数的分配结果相比更为合理。

关键词: Copula函数, 复杂度, 可靠性分配, 危害度

Abstract: In order to consider the influence of different failure correlation between the components of the system on system reliability allocation results, the factors affecting the system reliability allocation is divided into direct and indirect subcategories. The relative value of the reliability allocation weight of the components is proposed as a direct influence factor of the complexity and the failure criticality. The working environment, technical level, improvement cost and so on are classified as indirect factors. The relative dispersion is introduced to describe the failure correlation of system components, and is put forward of calculating the complexity and criticality. Based on the Vine Copula function, the reliability allocation model of the series system considering the failure correlation among the components is established. Finally, taking a certain type of CNC spindle system as an example, a comparative analysis of the system reliability allocation results in two cases without considering the correlation and considering the correlation is made. The results show that without considering the correlation the allocation results are conservative, which increased product development costs. The system reliability allocation model based on the Vine Copula function can take into account the different failure correlations among the components. The result is more reasonable than the traditional multivariate Copula function.

Key words: Copula, criticality, intricacy, reliability allocation

中图分类号:

TB114

张玉刚, 孙杰, 喻天翔. 考虑不同失效相关性的系统可靠性分配方法[J]. 机械工程学报, 2018, 54(24): 206-215.

ZHANG Yugang, SUN Jie, YU Tianxiang. A Reliability Allocation Method Considering Failure Correlation Based on Vine Copula[J]. Journal of Mechanical Engineering, 2018, 54(24): 206-215.

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考虑不同失效相关性的系统可靠性分配方法

A Reliability Allocation Method Considering Failure Correlation Based on Vine Copula

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