Vibration of a Rigid Shaft Supported by Radial Ball Bearings With Several Defects

Abstract

In this paper a vibration analysis of a rigid shaft-ball bearing system has been carried out, in order to approximate the nonlinear load-deformation characteristics of the ball/race contacts, an approximation by means of the Taylor series is studied. The response of an imperfect model system in both time and frequency domains is analyzed. Factors affecting the vibration characteristics of the system such as rotating unbalance, the varying diameter of the balls and the surface waviness are investigated. The vibration analysis of the system, including various external excitations, is carried out for each set of conditions and for more than one defect simultaneously. It is shown that the mathematical model of the total ball load-deflection relationship has a linear part that depends on the initial deflection, a small time dependent component, the load-deflection coefficient; and a number of terms contributing to nonlinearity of the contact stifness.