Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees of Freedom While Neglecting Friction—Part II: Application to Roller Bearings and Experimental Verification

[+] Author and Article Information
J. M. de Mul, J. M. Vree

Bearing Contact Mechanics Department, SKF Engineering & Research Centre B. V., Nieuwegein, The Netherlands

D. A. Maas

Automotive Product Testing Department, SKF Engineering & Research Centre B. V., Nieuwegein, The Netherlands

J. Tribol 111(1), 149-155 (Jan 01, 1989) (7 pages) doi:10.1115/1.3261865 History: Received April 06, 1988; Online October 29, 2009


A new, general and consistent mathematical model of highly modular character is presented for calculation of the equilibrium and associated load distribution in rolling element bearings. The bearings may be loaded and displaced in five degrees of freedom. High speed rolling element loading is considered, internal friction is neglected, the material is assumed linearly elastic and the bearing rings are modelled as rigid except for local contact deformation. Either classical Hertzian contact analysis or modern non-Hertzian contact analysis of sophisticated or approximate character is used as applicable. The bearing stiffness matrix is computed analytically and used internally in the iterative bearing equilibrium calculation; its final values may be used for other purposes such as (rotor) dynamics analysis. In Part I, the general theory and application to ball bearings is presented. In Part II, application of the general theory to róller bearings and an experimental verification are presented.

Copyright © 1989 by ASME
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