Vibration of Rotor due to Ball Bearing : 3rd Report, Spring Property of Bearing Containing a Large Number of Balls

Abstract

This paper analyzes spring property of a single-row, deep-groove radial ball bearing containing a large number of balls ; it is a continuation from the previous papers in which a fundamental consideration is made and a case with a small number of balls is treated. The analysis is carried out mainly for the characteristics in axial direction, with special emphasis on the state of zero contact-angle of ball, in order to contribute to research of vibration problem including the so-called abnormal oscillation. A complete expression of axial spring and associated characteristics, extreme characteristics corresponding to the case of an infinite number of balls which is applicable to almost all the cases in practice to express their fundamental properties, and a typical excitation form due to irregularity of raceways are presented. And numerical examples of axial spring, radial motion of inner ring under an average operational condition are demonstrated.