共因失效系统可靠性的截尾次序统计量模型

Truncated Order Statistics Model for the Reliability of Common Cause Failure Systems

以载荷-强度干涉理论为基础,以共因失效机理为依据,借用次序统计量的概念,通过实际样本强度分布(即系统中n个零件的强度分布)与次序统计量的映射关系,针对3种典型系统,提出了基于两端截尾次序统计量的系统级串联、并联及表决系统的可靠性模型.应用Monte Carlo模拟方法验证了模型的正确性.与传统独立失效模型和共因失效理论分布模型相比,采用两端截尾次序统计量模型计算的可靠度最符合机械系统的实际可靠度.

According to the common cause failure mechanism and the conception of order statistics,by means of the mapping relation between sample strength distribution in a system and order statistics,new system reliability models are proposed on the basis of load-strength interference theory and two-end truncated order statistics for serial,parallel and k-out-of-n（F） voting systems,respectively.The Monte Carlo simulation validates the correctness of the proposed models.Reliability calculated by the two-end truncated order statistics model is more accordant with the actual reliability of a mechanical system,compared with that obtained by traditional independent failure models and common cause failure models.