Rough surfaces are modeled as two-dimensional, isotropic, Gaussian random processes, and analyzed with the techniques of random process theory. Such surface statistics as the distribution of summit heights, the density of summits, the mean surface gradient, and the mean curvature of summits are related to the power spectral density of a profile of the surface. A detailed comparison is made of the statistics of the surface and those of the profile, and serious differences are found in the distributions of heights of maxima and in the mean gradients. Techniques for analyzing profiles of random surfaces to obtain the parameters necessary for the analysis of the surface are discussed. Extensions of the theory to nonisotropic Gaussian surfaces are indicated.
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July 1971
This article was originally published in
Journal of Lubrication Technology
Research Papers
Random Process Model of Rough Surfaces
P. Ranganath Nayak
P. Ranganath Nayak
Bolt Beranek and Newman Inc., Cambridge, Mass.
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P. Ranganath Nayak
Bolt Beranek and Newman Inc., Cambridge, Mass.
J. of Lubrication Tech. Jul 1971, 93(3): 398-407 (10 pages)
Published Online: July 1, 1971
Article history
Received:
November 13, 1970
Online:
October 18, 2010
Citation
Nayak, P. R. (July 1, 1971). "Random Process Model of Rough Surfaces." ASME. J. of Lubrication Tech. July 1971; 93(3): 398–407. https://doi.org/10.1115/1.3451608
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