Position phase-based vibration suppression method for rotating flexible disk system with parametric excitations

Abstract

A novel vibration control method for the rotating flexible disk system under parametric excitations, named position phase-based vibration suppression method, is proposed theoretically in this paper. This method can achieve vibration suppression efficiently by applying external parametric excitation to the rotating flexible disk and adjusting its position phase angle. The dynamical modeling of the disk with stressless initial deformation is established considering time-varying speed, symmetrical mass-spring-damper loading system and nonlinear electromagnetic attraction. Two vibration evaluation indexes are proposed for verifying the suppression effect of this method, one represents the deviation of the disk from its ideal position and the other represents the vibration's intensity. The steady-state response of the disk system with different parametric excitations’ phases is calculated and the phases region that can be used for vibration suppression is determined. Theoretical results show that the exerting of slider loading and electromagnetic attraction with suitable position phases can effectively suppress the transverse vibration of the flexible disk, whether the rotating speed is constant or fluctuant. Meanwhile, the combined effect of these two parametric excitations can better suppress the disk's vibration under the premise that the disk system is stable.