Parametric Instability of a Rotating Shaft Due to Pulsating Torque

Abstract

The torque transmitted by a shaft is usually a pulsating one. This torque may under certain conditions cause transverse parametric oscillations of the shaft leading to its failure. In this paper, an analytical numerical investigation is presented to determine the stability regions of the shaft due to a pulsating torque applied at its ends. The present work deals with three types of parametric instabilities. Unstable regions bounded by oscillatory motions characterized by period T and by period 2T and combination resonance. The results indicate that the most common and dangerous parametric instabilities arise as a result of combination resonance.