失效相关下表决工程系统的可靠度

Reliability of the voting engineering system under failure-dependence

当工程系统受到单一随机干扰源 (如 :地震、飓风等 )作用时 (满足区域性和同时性假设 ) ,系统的可靠性分析必须考虑结构间的失效相关性。文献 [1～ 3]采用条件概率的方法解决了地震作用下串联和并联工程系统问题。在此基础上 ,本文针对一种普遍意义下的表决工程系统 ,进一步提出了包括结构失效信息、结构安全信息和它们的混合信息下条件概率及其近似处理方法。并由此建立了考虑结构失效相关性时表决系统可靠度计算的一般过程 ,同时讨论了表决系统失效无关和失效全相关两种极端情形。最后给出了求解算法和数值算例。

When a system is acted by a stochastically disturbing source (for example, the seismic or the hurricane) which satisfies the hypotheses of spacing homogeneity and simultaneity, its reliability should be analyzed under failure dependence of structures. The failure dependence problem of structures in series and parallel systems acted by a seismic had been solved by the conditional probability in the references [1 3]. On the basis of that, conditional probabilities and their approximate expression method under safety, failure and their mixture information are put forward farther in the paper for popular voting engineering system. Secondly, the general calculation procedure of reliability of the failure dependent voting system is built. Meanwhile, the problems of reliability of voting system were discussed under failure independence and failure full dependence of structures too. Finally, Two examples are analyzed.