相依失效生命线工程系统抗震可靠度估计的统一RDA算法

A UNIFIED RDA FOR THE SEISMIC RELIABILITY ESTIMATION OF DEPENDENT FAILURE LIFELINE ENGINEERING SYSTEMS

在网络连通可靠度分析的递推分解算法(Recursive Decomposition Algorithm,简称RDA)的基础上,先整合原RDA算法中分别用于不同网络赋权形式的三部分程序,发展出统一RDA算法。应用顺序复合法(Sequential Compounding Method,简称SCM)和Gumbel Copula函数分别计算RDA算法中不交最小路和不交最小割事件的联合失效概率,解决元件相依失效生命线工程系统的抗震可靠度估计问题,最终发展出相依失效生命线工程系统抗震可靠度估计的统一RDA算法。36节点格栅型网络可靠度案例计算结果表明:此方法可以用于相依失效网络系统的动力抗震可靠度估计,计算精度较高。

Based on the recursive decomposition algorithm(RDA)of network connectivity reliability analysis,a unified RDA is developed by integrating the three parts of the original RDA for different network weighting forms.To estimate the seismic reliability of dependent failure lifeline engineering systems,the sequential compounding method(SCM)and Gumbel Copula function are used to calculate the joint failure probability of a disjoint minimum path and a disjoint minimum cut event in RDA,respectively.The unified RDA for the seismic reliability estimation of dependent failure lifeline engineering systems is developed.The calculation results of the reliability of a 36-node grid network show that the method can be used for dynamic seismic reliability estimation of dependent failure network systems with high accuracy.