Random Process Model of Rough SurfacesSource: Journal of Tribology:;1971:;volume( 093 ):;issue: 003::page 398Author:P. Ranganath Nayak
DOI: 10.1115/1.3451608Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Surface roughness , Stochastic processes , Gradients , Density AND Spectral energy distribution ,
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| contributor author | P. Ranganath Nayak | |
| date accessioned | 2017-05-09T01:10:23Z | |
| date available | 2017-05-09T01:10:23Z | |
| date copyright | July, 1971 | |
| date issued | 1971 | |
| identifier issn | 0742-4787 | |
| identifier other | JOTRE9-28563#398_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/155589 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Random Process Model of Rough Surfaces | |
| type | Journal Paper | |
| journal volume | 93 | |
| journal issue | 3 | |
| journal title | Journal of Tribology | |
| identifier doi | 10.1115/1.3451608 | |
| journal fristpage | 398 | |
| journal lastpage | 407 | |
| identifier eissn | 1528-8897 | |
| keywords | Surface roughness | |
| keywords | Stochastic processes | |
| keywords | Gradients | |
| keywords | Density AND Spectral energy distribution | |
| tree | Journal of Tribology:;1971:;volume( 093 ):;issue: 003 | |
| contenttype | Fulltext |