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零部件失效相关是降低冗余系统可靠性的重要原因。从分解零部件失效相关结构和寿命边缘分布的角度,综合考虑了k/n(G)表决系统中导致失效相关的两类因素:共因失效和从属失效。运用Copula函数的相关性理论,建立了零部件失效相关的k/n(G)系统可靠度计算模型。因为无需确定零部件寿命向量的联合密度函数,且用低重差分运算替代了多重积分运算,反映了模型的简捷性和实用性。通过系统可靠度随零部件数目的变化曲线,验证了Copula可靠度理论的合理性;给出了模型中相关程度参数估计的两种统计方法。最后,算例说明了模型的有效性。
Component failure correlation is an important reason to reduce the reliability of redundant systems. From the perspective of decomposing the failure-related structure and the edge distribution of life span, two types of factors that lead to failure are considered in the k / n (G) voting system: common cause failure and secondary failure. Based on the Copula function correlation theory, the reliability model of k / n (G) system related to component failure is established. Because there is no need to determine the joint density function of the component life vector and replace the multiple integral operation with the low-weight difference operation, it reflects the simplicity and practicability of the model. The rationality of Copula reliability theory is verified by the curve of system reliability with the number of components. Two statistical methods for estimating the correlation degree parameters in the model are given. Finally, the example illustrates the validity of the model.