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Failure-mode importance measures in structural system with multiple failure modes and its estimation using copula

机译:具有多个失效模式的结构系统的失效模式重要度度量及其使用copula的估计

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In the structural reliability analysis, there exist multiple failure modes. Influence of each failure mode on the structural system reliability needs to be considered, because it is significant for simplifying the system model and improving the performance of the system. By using the concepts of the importance measures(IM) in probability risk assessment (PRA), the importance indices in PM are extended to measure the failure mode contribution to the structural system reliability, and the analytical solutions of the failure mode importance measure for the parallel and series structural systems are derived firstly. Then, copula method is proposed to estimate the importance indices for the nested hybrid structural systems. At last, one numerical example with a parallel structure and two engineering examples are employed to analyze the failure mode importance and to test the two estimates based on the analytical solution and the copula method. Result indicates that five PM importance indices can well reflect the failure mode importance. It also shows that the copula method is highly suitable for computing PM IMs in the intricate structural systems. (C) 2018 Elsevier Ltd. All rights reserved.
机译:在结构可靠性分析中,存在多种失效模式。需要考虑每种故障模式对结构系统可靠性的影响,因为这对于简化系统模型和提高系统性能具有重要意义。通过在概率风险评估(PRA)中使用重要性量度(IM)的概念,扩展了PM中的重要性指标,以测量失效模式对结构系统可靠性的贡献,并针对失效模式重要性测度的解析解。首先推导了并联和串联结构系统。然后,提出了copula方法来估计嵌套混合结构系统的重要性指标。最后,以一个具有并行结构的数值例子和两个工程例子来分析失效模式的重要性,并基于解析解和copula方法对两个估计进行检验。结果表明,五个PM重要性指标可以很好地反映故障模式的重要性。它还表明,copula方法非常适合在复杂的结构系统中计算PM IM。 (C)2018 Elsevier Ltd.保留所有权利。

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