Reliability model of competitive failure systems with multiple degradation processes and stochastic shocks

Abstract

The invention discloses a new reliability model of a multi-degradation process and a stochastic impact competition failure system. It is assumed that random shocks obey homogeneous Poisson process, and the probability that the shocks are fatal and non-fatal is p (t) and q (t), respectively, where once the fatal shocks occur, the system will invalidate immediately; non-lethal shocks can have an impact on the degradation process, on the one hand,phase step degeneration increase will be increased, on the other hand, it will increase the degradation rate, and its effect is reflected by cumulativedamage. On this basis, by modifying the existing nonlinear Wiener process degradation model, the effect of non-lethal shock on degradation is considered, and the final system reliability function is established by time-varying Copula function. Finally, a numerical example is given to illustrate the mathematical model proposed in this paper.

Description

technical field [0001] The invention belongs to the technical field of reliability analysis of competing failure systems, in particular to the reliability model of multiple degradation processes and stochastic impact competing failure systems. Background technique [0002] At present, with the development of technology such as design and manufacturing level and material technology, many system structures and functions are becoming more and more complex, and there are often multiple failure mechanisms, causing multiple key performance parameters of the system to degrade at the same time, and the degradation of each performance parameter Processes may interact with each other, and there are certain interdependencies in their degradation data. At the same time, the system will continue to be affected by random impacts from the external environment during the working process. Generally, the system failure modes can be divided into the following two types: (1) When the increment...

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Problems solved by technology

The interaction between the two is mainly reflected in two aspects: on the one hand, the degradation will make the system more vulnerable under random shocks, and accelerate the system failure. When the degradation exceeds the threshold, it will directly lead to the occurrence of failure; on the other hand, when the When subjected to random shocks, the degradation process of the system may experience a step-wise increase in the degradation amount or an acceleration in the degradation rate

In addition, most of the existing literature only considers the competitive relationship between a single degradation process and stochastic shocks, and seldom deals with the reliability modeling of competing failure systems with multiple degradation processes. For the case of multiple dependent degradation processes study less

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