Nonlinear Torsional Vibrations of a Rotating Shaft System with a Magnet Coupling

Abstract

In this paper, the nonlinear torsional vibrations of a rotating shaft system having a disk and a magnet coupling consisting of rare-earth magnets are investigated analytically. The driver of the magnet coupling is excited by sinusoidal motion, and the disk is subjected to constant load torque. The transmission torque of the magnet coupling is represented by a sine function of relative angle between the driver and the follower. The governing partial equations are solved by the harmonic balance method. Besides the harmonic vibration, the one-second order and the one-third order subharmonic vibrations are obtained. Numerical calculations are carried out by the Newton-Rapson method, and the influences of the load torque on the nonlinear torsional vibrations are investigated.