Journal ArticleDOI
A numerical procedure for random generation of rough surfaces
TLDR
Through the use of linear transformations on random matrices, this procedure is capable of generating Gaussian or non-Gaussian rough surfaces with any given surface autocorrelation function.About:
This article is published in Wear.The article was published on 1978-04-01. It has received 226 citations till now. The article focuses on the topics: Gaussian random field & Gaussian surface.read more
Citations
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Journal ArticleDOI
Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observations
TL;DR: In this article, the flow and solute transport through a single rough-surfaced fracture were carried out using geostatistical methods, based on a given aperture probability density distribution and a specified spatial correlation length.
BookDOI
Handbook of Surface and Nanometrology
TL;DR: In this article, the authors discuss the effect of scale of size on surface geometry and its importance in function, as well as the effects of size and shape on the performance of free-form surfaces.
Journal ArticleDOI
Simulation of 3-D random rough surface by 2-D digital filter and fourier analysis
TL;DR: In this article, a spectrum analysis approach is developed to compute the filter coefficients and the FFT procedure provides an efficient way to implement the filter and the Johnson translator system of distribution is introduced into the generation procedure of non-Gaussian surface with a required ACF.
Journal ArticleDOI
Simulation of rough surfaces with FFT
TL;DR: In this paper, a numerical procedure for the simulation of three-dimensional surfaces has been developed based on Fast Fourier Transform (FFT), which can simulate surfaces with given spectral density or auto-correlation function (ACF).
Journal ArticleDOI
Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces
TL;DR: A numerical method is proposed which allows the creation of rough surfaces whose heights follow a general statistical distribution and a given autocorrelation function and the results show that the method can adequately produce rough surfaceswhose statistical and spectral characteristics match the prescribed values.
References
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Book
Continuous univariate distributions
TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Journal ArticleDOI
An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
Nadir Patir,H. S. Cheng +1 more
The properties of random surfaces of significance in their contact.
TL;DR: In this paper, the waveform of a random signal is used as a representation of the profile of a surface, which is completely defined by two parameters, a height distribution and an auto-correlation function.
Journal ArticleDOI
The Properties of Random Surfaces of Significance in their Contact
TL;DR: In this article, the waveform of a random signal is used as a representation of the profile of a surface, which is completely defined by two parameters, a height distribution and an auto-correlation function.
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An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
Nadir Patir,H. S. Cheng +1 more