Reliability analysis of repairable k-out-n system from time response under several times stochastic shocks

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	Smart Structures and Systems Volume 14, Number 4, October 2014, pages 559-567 DOI: https://doi.org/10.12989/sss.2014.14.4.559
	Reliability analysis of repairable k-out-n system from time response under several times stochastic shocks
	Yongfeng Fang, Wenliang Tao and Kong Fah Tee
Abstract [Buy Article]
	The model of unit dynamic reliability of repairable k/n (G) system with unit strength degradation under repeated random shocks has been developed according to the stress-strength interference theory. The unit failure number is obtained based on the unit failure probability which can be computed from the unit dynamic reliability. Then, the transfer probability function of the repairable k/n (G) system is given by its Markov property. Once the transfer probability function has been obtained, the probability density matrix and the steady-state probabilities of the system can be retrieved. Finally, the dynamic reliability of the repairable k/n (G) system is obtained by solving the differential equations. It is illustrated that the proposed method is practicable, feasible and gives reasonable prediction which conforms to the engineering practice.
Key Words
	random shocks; repairable; k/n (G) system; dynamic; reliability
Address
	Yongfeng Fang and Wenliang Tao: School of Mechanical Engineering, Bijie University, Bijie 551700, China Kong Fah Tee: Department of Civil Engineering, University of Greenwich, Kent, ME4 4TB, U.K.