Passage through the resonance of a statically unbalanced rotor with “imperfect” autobalancing device

Abstract

Nonstationary modes of direct and reverse passage through resonance of an unbalanced rotor equipped with an imperfectly mounted ABB are investigated. Two mathematical models are considered. The first one is the passage of the critical region with constant angular acceleration, and the second one is the motion of the rotor under the action of a constant external torque. The study of the first model has shown that the presence of the ABB has a significant negative effect on the process of direct passage through resonance, and the maximum amplitude of whirling in this case can exceed the maximum in the stationary case. At the same time, in case of reverse resonance passage, the influence of the ABB is positive, and the maximum amplitude of the whirling motion is much smaller than in the case of the direct passage. The investigation of the influence of viscous damping in the ABB has shown that too small damping affects negatively on the dynamics of the transient process, prolonging the time of the resonant oscillations of the rotor until the moment of their disruption. The study of the processes of acceleration and deceleration of the rotor according to the second model confirms the main conclusions obtained from the first model. Refs 10. Figs 8.