FRACTAL DIMENSION OF TIME SERIES APPLIED TO IDENTIFICATION OF CRITICAL SPEED OF JEFFCOTT ROTOR SYSTEM

The dynamical behaviors of logistic map(May’s model) and duffing equation are studiedthrough fractal dimension of time series at different parameters. It is shown that the parameters ofdynamical behaviors can be identified effectively by the curve of fractal dimension with parameterincrements. For further verification, the relation between the fractional dimension of time series androtational speed can be used to identify critical speed effectively by using this method to a plate Jef-foctt rotor system. The numerical and experimental result indicates that the identification of criticalparameters is effective.