Reliability assessment of permanent magnet brake based on accelerated bivariate Wiener degradation process

Jihong Pang; Chaohui Zhang; Xinze Lian; Yichao Wu; Jihong Pang; Chaohui Zhang; Xinze Lian; Yichao Wu

doi:10.3934/mbe.2023548

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 7: 12320-12340. doi: 10.3934/mbe.2023548

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Reliability assessment of permanent magnet brake based on accelerated bivariate Wiener degradation process

1.
College of Business, Shaoxing University, Shaoxing 312000, China
2.
School of Data Science and Artificial Intelligence, Wenzhou University of Technology, Wenzhou 325000, China
3.
College of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou 325035, China

Academic Editor: Hao Wang

Received: 04 March 2023 Revised: 02 April 2023 Accepted: 20 April 2023 Published: 19 May 2023

Permanent magnet brake (PMB) is a safe and effective braking mechanism used to stop and hold the load in place. Due to its complex structure and high reliability, assessing the reliability of PMB remains a challenge. The main difficulty lies in that there are several performance indicators reflecting the health state of PMB, and they are correlated with each other. In order to assess the reliability of PMB more accurately, a constant stress accelerated degradation test (ADT) is carried out to collect degradation data of two main performance indicators in PMB. An accelerated bivariate Wiener degradation model is proposed to analyse the ADT data. In the proposed model, the relationship between degradation rate and stress levels is described by Arrhenius model, and a common random effect is introduced to describe the unit-to-unit variation and correlation between the two performance indicators. The Markov Chain Monte Carlo (MCMC) algorithm is performed to obtain the point and interval estimates of the model parameters. Finally, the proposed model and method are applied to analyse the accelerated degradation data of PMB, and the results show that the reliability of PMB at the used condition can be quantified quite well.
- bivariate wiener process,
- accelerated degradation data,
- bayesian method,
- permanent magnet brake,
- arrhenius
Citation: Jihong Pang, Chaohui Zhang, Xinze Lian, Yichao Wu. Reliability assessment of permanent magnet brake based on accelerated bivariate Wiener degradation process[J]. Mathematical Biosciences and Engineering, 2023, 20(7): 12320-12340. doi: 10.3934/mbe.2023548

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Abstract

Permanent magnet brake (PMB) is a safe and effective braking mechanism used to stop and hold the load in place. Due to its complex structure and high reliability, assessing the reliability of PMB remains a challenge. The main difficulty lies in that there are several performance indicators reflecting the health state of PMB, and they are correlated with each other. In order to assess the reliability of PMB more accurately, a constant stress accelerated degradation test (ADT) is carried out to collect degradation data of two main performance indicators in PMB. An accelerated bivariate Wiener degradation model is proposed to analyse the ADT data. In the proposed model, the relationship between degradation rate and stress levels is described by Arrhenius model, and a common random effect is introduced to describe the unit-to-unit variation and correlation between the two performance indicators. The Markov Chain Monte Carlo (MCMC) algorithm is performed to obtain the point and interval estimates of the model parameters. Finally, the proposed model and method are applied to analyse the accelerated degradation data of PMB, and the results show that the reliability of PMB at the used condition can be quantified quite well.

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