5. Matrix counting methods

These methods integrate information on the slopes and curvatures observed in a random load .

By taking slopes into account, we can improve the counting of levels exceeded, providing an overall reading of the nature of the severity to which the mechanical component under study is subjected during use. The extreme response (or robustness) spectrum presents energy levels as a function of the frequencies constituting the stress studied. These two types of analysis are combined using two-dimensional representations of transition matrices (Markov, range-slope, extreme-curvature). These show the links between local and global behavior. The transition (or Markov) matrix...