考虑载荷作用次数的失效相关系统可靠性模型

研究了随机载荷作用次数对系统可靠性的影响,运用载荷-强度干涉模型和顺序统计量理论建立了随机载荷多次作用下的失效相关系统可靠性模型.考虑系统中零件的失效相关性,在不作独立假设的前提下,运用系统级载荷-强度干涉模型建立了串联系统和并联系统可靠性模型;根据随机载荷作用的统计学意义,运用顺序统计量理论建立了载荷多次作用时等效载荷的累积分布函数和概率密度函数,在此基础上,建立了载荷多次作用下的失效相关系统可靠性模型.并运用Monte Carlo方法对随机载荷多次作用下的失效相关串联系统可靠性模型进行了仿真实验,验证了本文模型的正确性.

Reliability Model of Failure-Dependent System with Frequency of Loading Taken into Account

The effect of frequency of random loading on the reliability of system is studied,and the reliability models of failure-dependent system under the action of random load are developed by use of the load-strength interference model and theory of order statistics.Considering the failure-dependence on components in the system,the reliability models of series and parallel systems are developed separately by the system-level load-strength interference model without the precondition of failure independence assumed.According to the statistical meaning of random loading,the cumulative distribution function and the probability density function of equivalent load are derived through the order statistic theory when the random load acts many times.Thus,the reliability models of failure-dependent systems are developed when the random load is acting on them many times.The Monte Carlo method is then applied to the simulation experiment for the reliability model of failure-dependent series system on which the random load acts many times and the result shows that the model proposed is effective.