用图论方法分析马尔可夫频次阵特性

 简述了飞机机动疲劳载荷谱的各种常用表征方法及其优点与不足, 重点论述疲劳载荷状态转移的马尔可夫频次矩阵法。结合示例说明马尔可夫频次阵的构造形成与计算机编程填充方法。利用图论研究方法说明马尔可夫阵是一幅欧拉图的邻接矩阵, 阐述了其重要特性, 给出了据此构造疲劳载荷历程的要求与做法,并给出了数据处理实例。通过讨论马尔可夫阵与其他疲劳载荷表征方法间的关系, 表明马尔可夫矩阵含有更多信息, 是较适合完整描述疲劳载荷谱的表征方法之一。

Analyzing Characteristics of Markov Frequency Matrix Using Graph Theory

After briefing the merits and demerits of some commonly used methods to characterize aircraft maneuver fatigue loads, the Markov frequency matrix is examined in the view to describe load state transition events. The form and construction of the Markov matrix are illustrated by an example, and the method to fill the matrix by computer programming is explained. According to the graph theory, the Markov matrix is re examined as the adjacent matrix of weighted multiple directional graphs with Eulerian loop. The features of Markov frequency matrix and the requirements for a matrix to realize fatigue load history construction are outlined, and an example of processing data for an aircraft flight mission was presented. Discussions showed Markov matrix characterization has more useful information than other forms have and is yet easily transformed into other forms.