A New Calculation Method of Hertz Elliptical Contact Pressure

Author:

Tanaka Naoyuki1

Affiliation:

1. 4th Department, Mechanical Engineering Research Laboratory, Hitachi, Ltd., 502 Kandatsu, Tsuchiura, Ibaraki 300-0013, Japan

Abstract

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.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Reference4 articles.

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.

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