A new method for calculating elliptical Hertz contact pressure in which an elliptic integral is not necessary, has been developed. The simplest numerical integration by this method yields a Hertz contact pressure within 0.0005 percent of the theoretical spherical contact pressure. And dimensionless quantities, for calculating contact pressure, major and minor semi-axes and approach calculated by using the method agree well with those given in the references. Elliptical Hertz contact pressure can thus now be calculated by using a spreadsheet program for personal computers.

Issue Section:
Technical Briefs
Keywords:
mechanical contact, design engineering, pressure
Topics:
Pressure, Computational methods
1.
Hertz
,
H.
,
1881
, “
Ueber die Beruehrung fester elastische Koerper (On the contact of elastic solids
),”
J. fuer reine und angewandte Mathematik
,
92
, pp.
156
–
171
.
2.
Harris, T. A., 1966, Rolling Bearing Analyses, Wiley, New York.
3.
Johnson, K. L., 1987, Contact Mechanics, Cambridge University Press, Cambridge.
4.
Jones, D. E., and Schott, G. A., eds., 1896, Miscellaneous Papers by H. Hertz, Macmillan, London.
Copyright © 2001
 by ASME
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