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针对现有动态故障树分析方法存在的状态空间爆炸、计算效率低、适用范围有限等缺点,提出一种基于顺序二元决策图的动态故障树分析方法。在将动态逻辑门转化为含顺序事件的逻辑门的基础上,给出了顺序二元决策图的模型以及含有顺序事件的布尔运算规则,利用顺序二元决策图和扩展的布尔运算获取动态故障树的失效路径,并给出多单元顺序事件的发生概率。以某弹药为实例,考虑不完全覆盖问题,针对指数分布与非指数分布2种情形进行了动态故障树分析,结果表明该方法具有计算高效、精度高、适用性广泛等优点,为复杂动态系统的可靠性分析提供了理论基础。
Aiming at the shortcomings of existing dynamic fault tree analysis methods such as state space explosion, low computational efficiency and limited application scope, a dynamic fault tree analysis method based on sequential binary decision graph is proposed. Based on the transformation of dynamic logic gates into logic gates with sequential events, a model of sequential binary decision graph and a Boolean operation rule with sequential events are given. The dynamic binary sequence diagram and extended Boolean operation are used to obtain dynamic fault Tree failure path, and gives the probability of multi-unit sequential events. Taking a certain ammunition as an example and considering incomplete coverage, dynamic fault tree analysis is conducted for two cases, exponential distribution and non-exponential distribution. The results show that this method has the advantages of high computational efficiency, high precision and wide applicability. The reliability analysis provides the theoretical basis.