Abstract
The quasi-static vibratory analysis of a rotor supported by cylindrical roller bearings is presented. The system is an ideal cylindrical roller bearing in which the inner ring moves in a radial plane with two degrees of freedom under a constant radial load. The load-deformation relationship for elastic contact is expressed by a function with an arbitrary power index, and the motion of the inner ring center due to the roller revolution is analyzed in detail. The case using a one-sided linear spring is also analyzed. The results show that the inner ring motion has complicated features which change significantly with the design and operating conditions. All the computed results are arranged in charts in which approximate waveforms of the inner ring motion and its magnitudes are presented together with the loaded states of rollers. These may be useful in design processes to examine the rigidity, the critical speed, and the vibratory nature of a rotor system.
