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故障可能从某一子系统开始，通过故障传递引发其它子系统出现新的故障，这 样一种故障传递现象可能会导致整个设备系统出现较严重的故障事故。本章以 加工中心设备系统为例，依据结构功能相关信息对其进行子系统划分，借助现 场故障信息和有向图理论，构建加工中心子系统故障相关有向图模型。其中子 系统在故障相关性模型中的相关性影响度是进行可靠性评价、故障定位及实施 设备系统可靠性增长措施的关键。基于故障有向图的子系统相关性影响度计算 可以看作复杂网络节点重要度求解问题，故本章借助Pagemnk算法进行加工中 心子系统故障相关影响度和故障相关被影响度评估。本章将本章逻辑技术路线 如图2.1所示：<br /> 2.1故障传递有向图模型 2.1.1图的相关概念<br /> 下面是有关故障传递有向图的一些基本概念：<br /> 图：由顶点集合及顶点间的关系集合组成的一种结构，可以表示为：<br /> G = (V (G), E (G))<br /> 式中V (G)表示顶点集合，并且满足集合是非空有穷集合，E (G)表示图 中顶点之间的边所组成的集合，并且满足集合是有穷集合。由上述图的定义可 知图G可以用平面图形来进行刻画，节点或圆圈表示各个顶点，以顶点为端点<br /> 的线段表示图G的边。<br /> 有向图：用（u,v)表示以节点U为起点，节点V为终点的一条有方向的边， 在平面图形中用带箭头的线段表示。<br /> 无向图：用（u，v)表示节点U与节点V之间的边，并且这条边没有方向， 无向图（u,v)等同于(v,u)。<br /> 邻接顶点：对于图G中的一条边e，顶点u和v是此边的两个顶点，那么 我们称顶点U和V是邻接顶点。<br /> 度：顶点V的度TD (v)表示经过此顶点的边的数量。顶点的度是其出度与 入度的和，顶点V的入度是以它为终点的有向边的数量，记为ID (V)，顶点V 的出度是以它为起点的有向边的数量，记为〇D (v)，其中 TD (v) = ID (v) + OD (v)。若图中含有n个顶点，e条边，则<br /> 在进行关联故障传递建模时可以将元器件或子系统看作系统的组成要素X， 将故障之间的传递关系看成要素关系R。如果将子系统抽象为节点，故障传递 关系抽象为有向边，那么系统中子系统之间的故障传递关系就可以表征为故障 传递有向图。 </p> <p 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