Reliability modeling for consecutive k‐out‐of‐n: F systems with local load‐sharing components subject to dependent degradation and shock processes

Abstract

Traditional k‐out‐of‐n models assume that the components are independent, while recent research studies assume that the components are dependent caused by global load‐sharing characteristic. In this paper, we investigate the consecutive k‐out‐of‐n systems with dependent components by local load‐sharing characteristic. The work load and shock load on failed components will be equally shared by adjacent components, so the components tend to fail consecutively. Consequently, the components degradation processes may be diverse, since their degradation rate (dependent on work load) and abrupt degradation (dependent on shock load) become unequal because of local load‐sharing effect. Furthermore, the system failure will be path‐dependent on the failure sequences of components, which results in that the same system states may have different system failure probabilities. This new dependence makes the system reliability model more complex. In this work, an analytical model that can be solved numerically is derived to compute the reliability with this complex dependence. The developed model is demonstrated by a cable‐strut system in the suspension bridge. The results show that the reliability decreases significantly when the new dependence is considered.

Reliability analysis of load-sharing systems with spatial dependence and proximity effects

“…There is no clear mathematical method that captures the effect of each load change on the failure rate of a working spatial neighbour rather deterministic failure rate values were assumed. Recently, Guo et al (2020) developed a reliability model for a system with local load-sharing whose components are subject to degradation and external shocks. Both papers considered adjacent neighbour interaction.…”

Uncertain process–based reliability and maintenance modeling for systems under mutually dependent degradation and shock processes

“…According to the degradation‐threshold‐shock models, 2,3 soft failure occurs when the degradation of the system exceeds a given threshold. In addition, the shocks caused by external factors will also lead to the hard failures 4,5 . There are various shock models, we only consider the following two types 8 : cumulative shock model and extreme shock model.…”

“…In addition, the shocks caused by external factors will also lead to the hard failures. 4,5 There are various shock models, we only consider the following two types 8 : cumulative shock model and extreme shock model.…”

“…The reliability under different a2 with the fixed value b2F I G U R E 14 The reliability under different b2 with the fixed value a2…”

Reliability modeling for multi-state systems with a protective device considering multiple triggering mechanism

“…Existing studies on shock models are mainly devoted to reliability analysis for various engineering systems such as k-out-of-n system, 26 consecutive-k-out-of-n system 27 and balanced system. 28,29 Moreover, the methods to evaluate reliability of various systems are becoming abundant.…”