基于FGM函数的带有冷贮备串联系统可靠性分析

摘要

The reliability analysis of series system with cold standby based on the FGM copula function.The reliability of two-component series system with one cold standby and the reliability of three-component series system with two cold standbys were discussed, respectively.On this basis, this idea to n+1 component series system with n cold standby was further generalized.Find out the reliability of expression about the three different systems was found out.And the feasibility of the calculation was verified with an example analysis.The reliability of the system with the increasing of time gradually reduced when the parts under the state of FGM dependency.%基于FGM copula函数对带有冷贮备的串联系统进行可靠性分析.分别讨论了带有1个冷贮备的两部件串联系统的可靠度和带有两个冷贮备的三部件串联系统的可靠度.在此基础上,进一步讨论带有n个冷储备n+1个部件串联系统的可靠度.求出了3种不同系统的可靠度的具体表达式.并用实例分析验证了计算方法的可行性,得到部件FGM相依状态下系统的可靠度随着时间的增加逐渐降低.