This paper deals with the load–displacement relationship of a ball bearing with axial, radial, and angular displacements for both the inner and outer rings. First, the expressions for the load–displacement relationship of ball bearings with any number of balls under the combined axial, radial, and moment loads were presented by using a system in which both the inner and outer rings are allowed to move in the axial, radial, and angular directions. Second, the presented expressions were compared with Jones' expressions (which are typical conventional expressions for the load–displacement relationship), then the range of application of Jones's expressions were elucidated. Third, the relative axial displacement, the relative radial displacement, and the relative angular displacement of a miniature ball bearing type 692 under the combined axial, radial, and moment loads were calculated. Finally, it was shown that the relative angular displacement in the case with no inner ring angular displacement is Ri/Ro times the relative angular displacement in the case with no outer ring angular displacement, in which Ri and Ro are the radii of the inner and outer race curvature center loci.
Load–Displacement Relationship of a Ball Bearing With Axial, Radial, and Angular Displacements for Both the Inner and Outer Rings
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 20, 2015; final manuscript received February 17, 2016; published online July 20, 2016. Assoc. Editor: Xiaolan Ai.
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Ohta, H., Sakaguchi, T., and Uchiumi, M. (July 20, 2016). "Load–Displacement Relationship of a Ball Bearing With Axial, Radial, and Angular Displacements for Both the Inner and Outer Rings." ASME. J. Tribol. January 2017; 139(1): 011103. https://doi.org/10.1115/1.4033136
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