A Bayesian approach to degradation modeling and reliability assessment of rolling element bearing. Issue 23 (2nd December 2021)

• Record Type: Journal Article
• Authors: Prakash, G.
• Is Part Of: Communications in statistics. Volume 50:Issue 23(2021)
• Page Start: 5453
• Page End: 5474
• Publication Date: 2021-12-02
• Subjects: Bayesian hierarchical model -- Wiener process -- two-phase degradation -- change point -- Bayesian model selection -- reliability assessment -- rolling element bearing -- Weibull distribution; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2020.1734826
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: This paper presents two Bayesian hierarchical models—one utilizing the life-time data and other using the structural health monitoring (SHM) data, for degradation modeling and reliability assessment of rolling element bearings. The main advantage of the proposed life-time data based model is that, it accounts for the variability in failure times caused due to the difference in material properties, initial degradation, operating and environmental conditions by introducing Bayesian hierarchy in the model parameters. On the other hand, SHM data (such as vibration and strain) based model focuses on stochastic nature of bearing degradation, and models it using a two-phase Wiener process. In this model, the point of phase-transition is the time when the damage initiates. The detection of such a point is undertaken using Bayesian change point algorithms. For both the models, the model parameters and reliability are updated as more data becomes available. In this manner, the prior domain knowledge and life-time data or SHM data collected from the field can effectively be integrated to get updated reliability. Two case studies for rolling element bearings are presented to demonstrate the applicability to life-time as well as SHM data.