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 relation for an elastic contact is expressed by the function with an arbitrary power index, and the motion of the inner ring center due to roller revolution is analyzed in detail. The case in which the spring is a one-sided linear is also analyzed. The results show that the inner ring motion has complicated features, and changes drastically with the design and operating conditions. All computed results are arranged in charts in which approximate wave forms of the inner ring motion and its magnitudes, and the loaded states of rollers are presented. They may be used in the design process to examine the rigidity, the critical speed, and the vibratory nature of a rotor system.
