Definition of the Generation Instants in Time of the Running Shaft Resonant Flexural Vibrations by Means of Indicator Function of the Number of States of Dynamic System

Abstract

The method and algorithm are considered that allow us to diagnose change of the system dynamic state on the basis of the analysis of evolution of the window indicator function of number of states in discrete phase space. The model of a two-dimensional phase space is constructed, in which discrete states are introduced, and it is shown that indicator function increases when changing the dynamic mode leading to change of the current number of system states. The method feature is the possibility to construct the taught system of dynamic mode diagnostics on its basis. As an example, on the basis of the acoustic signal analysis, a change of the dynamic behavior type of a system with the running shaft is analyzed, in which the resonant flexural fluctuations arise after attaining the critical speed.