On the Stability of a Rotating Asymmetric Shaft Supported by Asymmetric Bearings

Abstract

This paper deals with the stability problems of an asymmetric flexible rotor supported by asymmetric bearings. In a previous report the equation of motion of the rotor system is expressed as a time variant partial differential equation and it is transformed into infinite time variant ordinary differential equations. Then the stability of the system is theoretically and experimentally discussed on the parametric resonance, subharmonic resonance and so on. In this paper the instabilities caused by combination resonances are dealt with and the following results are derived. In addition to the conventional parametric resonances and subharmonic resonances, a sum type of combination resonances occurs, but a difference type of combination resonances does not occur in this system.