Influence of Surface Waviness and Roughness on the Normal Pressure Distribution in the Hertzian Contact

[+] Author and Article Information
J. Seabra, D. Berthe

Laboratoire de Mécanique des Contacts, I.N.S.A. de Lyon, 69621 Villeurbanne Cédex, France

J. Tribol 109(3), 462-469 (Jul 01, 1987) (8 pages) doi:10.1115/1.3261472 History: Received February 24, 1986; Online October 29, 2009


Contact stresses are one of the most important parameters in the analysis of a contact problem found for instance, in the design of gears and roller bearings. In this work the influence of geometrical surface imperfections on the normal pressure distribution in the contact is studied. A variational formulation based on the principle of complementary virtual work is used to solve the normal contact problem. The normal contact between two elastic half-spaces is considered, as the contact surface is small when compared to the dimensions of the contacting bodies. Results are presented to determine the influence of surface roughness, wavelength, and amplitude on the normal pressure distribution.

Copyright © 1987 by ASME
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