Competing failure method for multi-performance mechanism systems based on Copula function

基于Copula函数的多功能机械系统竞争失效分析方法

¹ School of Automobile, Chang′an University, Xi′an 710064, China
² School of Mechanical Engineering, Tsinghua University, Beijing 100091, China
³ School of Aeronautics, Northwestern Polytechnical University, Xi′an 710072, China

Received: 2 November 2021

Abstract

A Copula-based competing failure analysis method for multi-performance mechanism systems is studied. Some specific mechanism systems often are under two types of failure modes, the catastrophic failures leading by oversized-load and function degradation failures because of out of operation. Furthermore, these failure modes also compete with each other. Competing failure model is established by catastrophic failure probability expression and drifting Brown motion. Meanwhile Copula functions are used to describe the failure dependence and deduce joint distribution functions, in order to form the competing failure analysis method to analyse the mechanism system reliability and its evaluation law for multi-performance mechanism systems. At last, an airplane cabin door lock system is studied as a case, demonstrating the validity of proposed method.

摘要

提出一种基于Copula函数的多功能机械系统竞争失效分析方法。针对因“载荷过大”所致突发破坏失效和因“结构并未破坏但功能无法完成”所致退化型功能失效共同影响的多功能机械系统，基于冲击模型和漂移布朗运动(Brownian motion with drift)研究突发失效和功能失效的建模方法；利用Copula函数定量化多失效模式之间的相关特性并构造联合分布函数，建立竞争失效模型，形成机械系统可靠度及其演化规律的分析计算方法；利用文章所提模型和方法，对某型飞机多失效模式舱门锁机构进行分析，研究发现基于所提方法的计算结果有着更高的精确性。