Reliability modelling of wheel wear deterioration using conditional bivariate gamma processes and Bayesian hierarchical models

Dai, Xinliang; Qu, Sheng; Sui, Hao; Wu, Pingbo

doi:10.1016/j.ress.2022.108710

Cited by 14 publications

(1 citation statement)

References 27 publications

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“…Since the random process method can accurately depict the stochastic characteristics of the system and the randomness of system degradation, it is widely used in degradation process modeling. Some commonly used methods include the Wiener process [9], Gamma process [33,24], inverse Gaussian process [25], linear regression process [18], and more. Among these, the Wiener process is often favored by researchers as the degradation process due to its provision of a clear analytical formula for the distribution of the first arrival time when the degradation amount exceeds the failure threshold.…”

Section: Introductionmentioning

confidence: 99%

Reliability modeling based on multiple wiener degradation-shock competing failure process and dynamic failure threshold

Shangguan,

Feng,

Fei

2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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Given multiple degradation failure and shock failure processes within the complex system during operation, a reliability model that combines the degradation-shock competing failure process and dynamic failure threshold is modeled. The Wiener process with random effects is considered the degradation process model, which includes random effects to account for the heterogeneity among system units. Then, the extreme shock model with a dynamic failure threshold is used to depict the random shock. The copula function is carried out to illustrate the correlation between multiple degradation processes, the reliability model is constructed further. To verify the application of this model, a numerical case and a micro-electro-mechanical system comprising two micro-mechanical resonators are employed. The parameter sensitivity of the proposed model is analyzed. The study results show that the reliability model, which combines the Wiener process with random effects and the dynamic failure threshold, more accurately reflects the actual operational state of the complex system.

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