Generalized Reliability Analysis of Mechanical Systems with Imperfect Maintenance

Author:

Gao Peng1ORCID,Xie Liyang2

Affiliation:

1. School of Mechanical Engineering, Liaoning Petrochemical University, Fushun, Liaoning 113001, China

2. Ministry of Education Key Laboratory of Aero Power Equipment Vibration and Control, Northeastern University, Shenyang, Liaoning 110819, China

Abstract

Generalized reliability models and failure rate models of mechanical systems are developed in this paper according to the system working mechanism, which take the design parameters as input. The models consider strength degradation and imperfect maintenance. Besides, the models take into account the failure correlation caused by homologous load effect and the maintenance correlation owing to group maintenance. Unlike traditional reliability models, the models do not rely on empirical assumptions when considering failure correlation and maintenance correlation and have clear physical meaning. Moreover, the correctness and effectiveness of the models are verified by Monte Carlo simulations. Finally, the influences of failure correlation and maintenance correlation on generalized reliability, the influences of failure correlation on maintenance correlation, and the influences of maintenance correlation on failure correlation are analyzed via numerical examples. The results show that failure correlation and maintenance correlation have great influences on generalized reliability, and the interaction between the two correlation shows obvious time-varying characteristics.

Funder

Department of Education of Liaoning Province

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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