Dynamic Characteristics of a Rotor with Continuous Friction on a Stator

Abstract

This paper develops a theory of reverse continuous precession motion (rolling) of a uniformly rotating (with constant angular velocity) balanced unloaded (with constant force) and asymmetric rotor along a rigid stator with slipping. It is shown for the first time that the rotor precession frequency can be accurately calculated not only for the case of rolling without slipping, where it is determined by the rotation frequency and the ratio of the rotor radius at the point of contact with the radial clearance, but also for the case of rolling with slipping. In this case it is determined by a particular frequency of natural oscillations of the rotor resting on the stator and by the coefficients of internal and sliding friction. The theory developed predicts several ranges of true rolling and rolling with slipping of the rotor along the stator. In this case, the friction values determine the precession frequency and the clearance value at the contact point determines the precession amplitude (rotor deflection outside the contact point).