Continuous separating method for characterizing and reconstructing bi-Gaussian stratified surfaces

Abstract Existing segmented separation method for differentiating the components contained within a bi-Gaussian stratified surface has two drawbacks: 1) assumption of probability material ratio curve consisting of two lines with a knee-point rather than a smooth transition region, violates the unity-area demand on probability density function (PDF); 2) preference for large roughness-scale part, yields the message loss of small roughness-scale part. In the present study, surface combination theory is proposed to develop a continuous separation method. The two separation methods are applied for analyzing and reconstructing simulated bi-Gaussian and experimental worn surfaces. The results show that the continuous method has greatly overcome the two drawbacks and almost leads to the same surface parameters as the measured surface in the surface reconstruction.

[1]  Jiunn-Jong Wu.  Simulation of rough surfaces with FFT , 2000 .

[2]  Vasilios Bakolas,et al.  Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces , 2003 .

[3]  David J. Whitehouse,et al.  The Generation of Two Dimensional Random Surfaces Having a Specified Function , 1983 .

[4]  Nadir Patir,et al.  A numerical procedure for random generation of rough surfaces , 1978 .

[5]  Pawel Pawlus,et al.  Simulation of stratified surface topographies , 2008 .

[6]  Mark C. Malburg,et al.  Characterization of Surface Texture Generated by Plateau Honing Process , 1993 .

[7]  D. J. Whitehouse,et al.  Surfaces — A Link between Manufacture and Function: , 1978 .

[8]  I. D. Hill,et al.  Fitting Johnson Curves by Moments , 1976 .

[9]  Trevor A Spedding,et al.  The time series modelling of non-gaussian engineering processes , 1982 .

[10]  Pawel Pawlus,et al.  The method of truncation parameters measurement from material ratio curve , 2008 .

[11]  K. To̸nder,et al.  Simulation of 3-D random rough surface by 2-D digital filter and fourier analysis , 1992 .

[12]  Jiunn-Jong Wu,et al.  Simulation of non-Gaussian surfaces with FFT , 2004 .

[13]  A. Majumdar,et al.  Fractal characterization and simulation of rough surfaces , 1990 .

[14]  Noël Brunetière,et al.  Analysis and Modeling of the Topography of Mechanical Seal Faces , 2010 .

[15]  J. Raja,et al.  Characterization of surface texture generate multi-process manufacture , 1998 .

[16]  N. L. Johnson,et al.  Systems of frequency curves generated by methods of translation. , 1949, Biometrika.

[17]  David J. Whitehouse.  Assessment of Surface Finish Profiles Produced by Multi-Process Manufacture , 1985 .

[18]  S. E. Leefe.  “Bi-Gaussian” representation of worn surface topography in elastic contact problems , 1998 .