基于改进发生函数方法的多状态系统可靠性分析

发生函数(UGF)是多状态系统可靠性分析的重要数学手段。通过分解算子,对载荷发生函数进行展开,再结合内积算子和强度发生函数建立考虑共因失效时计算多状态系统可靠度的数学模型。提出了考虑载荷多次作用效应和多种载荷作用时的可靠度计算模型。通过实例研究了共因失效和载荷多次作用效应对多状态系统可靠性的影响。研究表明,共因失效和载荷多次作用效应均对系统及零件可靠度产生影响,而且系统可靠度随着载荷作用次数的增加显著下降。运用本文模型可以直接计算指定载荷作用次数下,存在共因失效时的多状态系统可靠度。

Reliability Analysis of Multi-state Systems Based on Improved Universal Generating Function

The universal generating function (UGF) is an important approach to the analysis of the reliability of a multi-state system. By decomposition operators, the expansion of the UGF of a load is obtained, and the reliability of a multi-state system is calculated using the inner product operator and the UGF of strength when the common cause failure is taken into account. Reliability models of a multi-state system are established considering the effect of times of load and multi-loads. The influence of the common cause failure and the times of load on the reliability of a multi-state system is studied by an example. The results show that the reliability of a multi-state system and its components is influenced by the common cause failure and times of load, and system reliability decreases obviously when the times of load increase. When the times of load are designated and a common cause failure exists, the reliability of a multi-state system can be calculated directly by means of the model proposed.