On the Spring Characteristics of a Ball Bearing : Fluctuation due to ball revolution

Abstract

This paper deals with a theoretical study of the radial spring characteristics of a ball bearing, paying particular attention to their fluctuation due to the ball revolution. The following are clarified and demonstrated: 1) computation of the running accuracy problem by applying the (modified) Newton-Raphson method, a problem first examined by Perret-Meldau, 2) detailed analysis of radial motion of the inner ring and the fluctuation of the two-dimensional derivative stiffness caused by the ball revolution, shown by numerical examples and 3) effects of some system parameters (e.g., radial clearance, radial load, number and the revolution angle of balls, etc.) generally expressed and the relation to the extreme characteristics, presented in the former paper, which are derived from the theory of a case with an extremely large number of balls.