Traditional k‐out‐of‐n models assume that the components are independent, while recent research studies assume that the components are dependent caused by global load‐sharing characteristic. In this paper, we investigate the consecutive k‐out‐of‐n systems with dependent components by local load‐sharing characteristic. The work load and shock load on failed components will be equally shared by adjacent components, so the components tend to fail consecutively. Consequently, the components degradation processes may be diverse, since their degradation rate (dependent on work load) and abrupt degradation (dependent on shock load) become unequal because of local load‐sharing effect. Furthermore, the system failure will be path‐dependent on the failure sequences of components, which results in that the same system states may have different system failure probabilities. This new dependence makes the system reliability model more complex. In this work, an analytical model that can be solved numerically is derived to compute the reliability with this complex dependence. The developed model is demonstrated by a cable‐strut system in the suspension bridge. The results show that the reliability decreases significantly when the new dependence is considered.

中文翻译：

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连续k出n的可靠性建模：F系统具有局部载荷共享组件，会受到相关的退化和冲击过程的影响

传统ķ退房手续，OF- ň模型假定成分是独立的，而最近的研究报告假设组件都依赖所造成的全局负载分担的特点。在本文中，我们研究了连续ķ退房手续，OF- ñ具有局部负载共享特性的相关组件的系统。发生故障的组件上的工作负载和冲击负载将由相邻组件平均分配，因此这些组件往往会连续发生故障。因此，部件的降解过程可能是多种多样的，因为它们的降解率（取决于工作负荷）和突然的降解（取决于冲击负荷）由于局部负荷共享效应而变得不相等。此外，系统故障将取决于组件的故障顺序，这导致相同的系统状态可能具有不同的系统故障概率。这种新的依赖性使系统可靠性模型更加复杂。在这项工作中，导出了可以数值求解的分析模型，以计算具有这种复杂依赖性的可靠性。悬索桥中的电缆支撑系统演示了开发的模型。结果表明，当考虑新的依赖性时，可靠性显着降低。