Development of Analytical Model of Ball Bearings for EHL Contact

Abstract

Ball bearings are considered as major mechanical components or factor in kinematics rotating system. It transmits rotational motion between fixed and moving parts as well as it provides support to rotating shaft. In this paper, the radial vibrations of rigid shaft supported ball bearings are studied. In the analytical method the contacts between the balls with the inner and outer races has been considered as nonlinear springs, whose stiffness has been obtained by using the Hertzian elastic contact deformation theory for perfect bearings, vibrations occur at the ball passage frequency. Frequency of vibration gives source of vibration and amplitude of vibration gives severity of vibration. The bearing is considered as a spring- mass- damper system, considering each rolling element as a contact spring ? damper pair, based on Hertz equations for contact deformation, moving along the inner and outer raceways. Ball bearings are vital components use in Industries, Automobile transportation, Apart from their premeditated role in the drive assemblies; these mechanical components will require an increased rate of reliability. It contributes directly to the performance of any system through reliability. Any failure could have catastrophic consequences such as damage or loss of system components. The objective of this research work is to develop the analytical fundamentals details. This model has been dedicated to the dynamic behavior of rotating ball bearings with elastohydrodynamic lubrication (EHL). Theoretical analytical modeling will be comprehensive sufficient to provide analytical model that lends easily to programming, but powerful sufficient to include the effect of a geometrical, operating and system parameters on the vibration of bearings. The soul of this work is to present an analytical model of a specific type parallel single row (SKF6202) deep groove ball bearings. In this study the first part describes the geometrical characteristics, and second part determines governing equations of the distribution of task within the ball bearings.