Time-Dependent Reliability Models of Systems with Common Cause Failure

Reliability models of systems with common cause failure are developed through system-level load-strength interference analysis. Based on the statistic meaning of random load action and the failure mechanism of systems under repeated random load, the effect of multiple action of random load on reliability is studied. The probability cumulative distribution function and the probability density function of equivalent load are derived with the order statistic, and the reliability models of systems under repeated random load are derived. Further, the loading process is described by the Poisson stochastic process, the time-dependent reliability models of a series system, a parallel system and a k-out-of-n system are developed, and the relationship between reliability and time and that between the failure rate and time are discussed respectively. Finally, a simulation experiment is carried out to verify the reliability model proposed with the Monte Carlo method.