Contributed by the Mechanisms and Robotics Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 2003. Associate Editor: J. S. Rastegar.

The analytical method taking the centrifugal force and the angular misalignment into account is developed for the contact mechanisms of a ball bearing. In this method, the misalignment, the deformations created in the axial and radial directions of a bearing system are taken as three knowns in the analysis. Several parameters such as the contact angles, the normal forces created at contact points, the deformations between ball and raceways varying with bearing position angles, and the applied loads in two directions can be evaluated by differing the angular misalignment and the elastic deformations in two directions.

The radius of curvature for either the inner raceway or the outer raceway of a ball bearing is $r$ and the curvature entry center is at point $i$ and...