Yc. Zhao et al., The fractional dimension identification method of critical bifurcated parameters of bearing-rotor system, APP MATH ME, 21(2), 2000, pp. 141-146
The stable problem of rotor system, seen in many fields, has been cared for
more. Nowadays the reasons of most losing stability are caused by nonlinea
r behaviors This presents higher requirements to the designing of motor sys
tem : considering nonlinear elements, avoiding the unstable parameter point
s or regions where nonlinear phenomena will be presented. If a family of ti
me series of the unknown nonlinear dynamical system cart only be got ( may
be polluted by noise), how to identify the change of motive properties at d
ifferent parameters? In this paper, through the study of Jeffcott rotor sys
tem, the result that using the figures between the fractional dimension of
rime-serial and parameter can be gained, and the critical bifurcated parame
ters of bearing-rotor dynamical system can be identified.