A degradation-shock dependent competing failure processes based method for remaining useful life prediction of drill bit considering time-shifting sudden failure threshold

Feng, Tao; Li, Shichao; Guo, Liang; Gao, Hongli; Chen, Tao; Yu, Yaoxiang

doi:10.1016/j.ress.2022.108951

Cited by 19 publications

(2 citation statements)

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“…A somewhat similar system was studied in 2018 by Zhang et al [2], in 2017 by Hao et al [3], in 2023 by Feng et al [4] (where degradation is modeled by a gamma process), and in 2021 by Bian et al [5], who dealt with a multicomponent system. In 2021, Sun et al [6] studied yet another similar system, where, however, the degradation process is modeled by drifted Brownian motion (which is nonmonotone).…”

Section: Dcfpmentioning

confidence: 99%

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Dependent Competing Failure Processes in Reliability Systems

Dshalalow,

Aljahani,

White

2024

Entropy

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This paper deals with a reliability system hit by three types of shocks ranked as harmless, critical, or extreme, depending on their magnitudes, being below H1, between H1 and H2, and above H2, respectively. The system’s failure is caused by a single extreme shock or by a total of N critical shocks. In addition, the system fails under occurrences of M pairs of shocks with lags less than some δ (δ-shocks) in any order. Thus, the system fails when one of the three named cumulative damages occurs first. Thus, it fails due to the competition of the three associated shock processes. We obtain a closed-form joint distribution of the time-to-failure, shock count upon failure, δ-shock count, and cumulative damage to the system on failure, to name a few. In particular, the reliability function directly follows from the marginal distribution of the failure time. In a modified system, we restrict δ-shocks to those with small lags between consecutive harmful shocks. We treat the system as a generalized random walk process and use an embellished variant of discrete operational calculus developed in our earlier work. We demonstrate analytical tractability of our formulas which are also validated, through Monte Carlo simulation.

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Section: Dcfpmentioning

confidence: 99%

“…A somewhat similar system was studied in 2018 by Zhang et al [ 2 ], in 2017 by Hao et al. [ 3 ], in 2023 by Feng et al [ 4 ] (where degradation is modeled by a gamma process), and in 2021 by Bian et al [ 5 ], who dealt with a multicomponent system. In 2021, Sun et al.…”

Section: Introductionmentioning

confidence: 99%