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Reliability analysis for a system experiencing dependent degradation processes and random shocks based on a nonlinear Wiener process model

机译：基于非线性维纳过程模型的诸如依赖劣化过程和随机冲击的系统的可靠性分析

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摘要

Complex systems usually fail due to competing failure modes caused by multiple degradation processes (i.e., soft failures) and random shocks (i.e., hard failures). The dependence of these competing failure modes, including the one among the degradation processes and the one between degradation and random shocks, must be considered in reliability analysis. In this paper, a more general reliability model that takes into account such complex dependence is developed based on a nonlinear Wiener process model and time-varying copula method. First, the nonlinear Wiener process model is used to characterize the degradation behavior of the system. Then, the impact of random shocks on the increments and rate of a degradation process along with the impact of the degradation process on random shocks are investigated. The role of the time-varying copula method is to characterize the dependence among multiple failure processes. A numerical example and a real application on a type of MEMS oscillator are provided to illustrate the use of the proposed mathematical model in practice, and a sensitivity analysis is conducted to gain insights into the impact of key parameters of random shocks on system reliability.
机译：复杂的系统通常由于由多重劣化过程（即软故障）和随机冲击（即硬故障）引起的竞争失效模式而失败。必须考虑在可靠性分析中考虑这些竞争失败模式的依赖性，包括降级过程中的劣化过程和劣化和随机冲击之间的依赖性。在本文中，基于非线性维纳过程模型和时变拷贝方法开发了一种考虑这种复杂依赖性的更一般的可靠性模型。首先，非线性维纳流程模型用于表征系统的劣化行为。然后，研究了随机冲击对劣化过程的增量和速率以及降解过程对随机冲击的影响的影响。时变Copula方法的作用是表征多个故障过程之间的依赖性。提供了一种数值示例和在一种MEMS振荡器上的实际应用，以说明在实践中使用所提出的数学模型，并进行灵敏度分析，以获得随机冲击关键参数对系统可靠性的影响的洞察。

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