The Hertzian contact theory is approximated according to a concept by Tanaka (2001, “A New Calculation Method of Hertz Elliptical Contact Pressure,” ASME J. Tribol., 123, pp. 887–889) yielding simple analytical expressions for the elliptical semi-axes, the maximum contact pressure, the mutual approach and the contact spring constant. Several configurations are compared using the exact Hertz theory and the current approximation. The results agree within technical accuracy.
Issue Section:
Technical Briefs
1.
Antoine
, J. F.
, Visa
, C.
, Sauvey
, C.
, and Abba
, G.
, 2006, “Approximate Analytical Model for Hertzian Elliptical Contact Problems
,” ASME J. Tribol.
0742-4787, 128
, pp. 660
–664
.2.
Cooper
, D. H.
, 1969, “Hertzian Contact-Stress Deformation Coefficients
,” ASME J. Appl. Mech.
0021-8936, 36
, pp. 296
–303
.3.
Fischer
, F. D.
, Wiest
, M.
, Oberaigner
, E. R.
, Blumauer
, H.
, Daves
, W.
, and Ossberger
, H.
, 2005, “The Impact of a Wheel on a Crossing
,” ZEV Rail Glasers Annalen
, 129
, pp. 336
–345
.4.
Tanaka
, N.
, 2001, “A New Calculation Method of Hertz Elliptical Contact Pressure
,” ASME J. Tribol.
0742-4787, 123
, pp. 887
–889
.5.
Brewe
, D. E.
, and Hamrock
, B. J.
, 1977, “Simplified Solution for Elliptical-Contact Deformation Between Two Elastic Solids
,” ASME J. Lubr. Technol.
0022-2305, 99
, pp. 485
–487
.Copyright © 2008
by American Society of Mechanical Engineers
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