δ冲击条件下相关性竞争失效过程的系统可靠性建模

摘要

The system reliability modeling was studied considering the correlation between two s-dependent competing failure processes including degradation and shock when a system was subjected to δ-shock.On the one hand, shock process caused the additional abrupt degradation of the system;on the other hand,the degradation of the system affected the results of the shock process.Assuming that the system was subjected to δ-shock process,based on the distribution functions of the system natural degradation process and the shock process,the system's reliability function was derived.The general form of the system's reliability model was established and one of its specific forms was given. Finally,the simulation was preformed using parameters listed in a literature.The simulation results showed the correctness and validity of the model.%研究系统受到δ冲击时，考虑系统自然退化和冲击两个竞争性失效过程间具有相关性时，系统可靠性的建模问题。相关性一方面表现为冲击造成系统退化量的增加，另一方面表现为系统的自然退化程度对冲击结果的影响。假设系统因冲击而失效的过程是δ冲击过程，通过系统自然退化过程和冲击过程的分布函数，导出了系统的可靠度函数，建立了系统可靠度模型的一般形式，并给出一种特例的具体形式，最后利用文献中的具体参数进行仿真，以验证模型的正确性和有效性。