不确定环境下的致命冲击模型

Uncertain Fatal Shock Model in Uncertain Environment

针对无大量样本存在的冲击模型,运用不确定理论进行建模和分析.假设系统由2个部件组成且环境中有3个相互独立的冲击源,每个冲击到达均引起部件失效且失效的时间为不确定变量,在此基础上建立致命冲击的基本数学模型并进行分析,给出两部件寿命的联合生存不确定分布、矩的相关公式和矩母函数.最后,给出了数值算例.

In this research, the shock model short of a large number of samples is studied and developed in the light of the uncertainty theory. Assuming that the system is composed of two components and has three independent shock sources, and also that the shock sources leading to the failure of the components and time are uncertain, a fatal shock model is established and analyzed, and the life time of the joint survival uncertainty distribution of the two components as well as some basic theorems are calculated. This paper introduced all this mentioned above with a numerical example.