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.
Highlights
In order to prevent the serious impact of the failure of mechanical parts under dynamic loads, preventive maintenance, corrective maintenance, other maintenance, and replacement strategies are always carried out in the whole system operation process. e random dynamic degradation behavior of components and systems brings great difficulties to the evaluation of operational status of the components and systems, which brings great challenges to the formulation of maintenance and replacement strategies.erefore, it is necessary to establish generalized reliability models of mechanical systems considering both dynamic stochastic degradation [1, 2] and maintenance activities.In the past few decades, researchers have carried out a lot of in-depth and effective research on system reliability assessment based on these models
An represented a discrete reliability model of mechanical components to deal with the problem that the stress cannot be regarded as a single random variable when the components worked in multioperating conditions [4]
It is very difficult to predict the time-varying statistical characteristics of the random degradation process according to the system design parameters and environmental loads, which brings great challenges in developing generalized reliability models and providing guidance for preventive maintenance (PM)
Summary
In order to prevent the serious impact of the failure of mechanical parts under dynamic loads, preventive maintenance, corrective maintenance, other maintenance, and replacement strategies are always carried out in the whole system operation process. e random dynamic degradation behavior of components and systems brings great difficulties to the evaluation of operational status of the components and systems, which brings great challenges to the formulation of maintenance and replacement strategies. Erefore, it is necessary to establish generalized reliability models of mechanical systems considering both dynamic stochastic degradation [1, 2] and maintenance activities. A system-level load-strength interference model was introduced by Wu considering dependent failure and multiple failure models for reliability estimation of shiplift gear systems [7]. It is very difficult to predict the time-varying statistical characteristics of the random degradation process according to the system design parameters and environmental loads, which brings great challenges in developing generalized reliability models and providing guidance for PM. To address the abovementioned problems, time-varying reliability models of mechanical systems components are developed with the damage caused by random loads considered. According to the stochastic degradation characteristics of the mechanical systems, the generalized timevarying reliability models considering imperfect maintenance are established
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