A convolved multi-Gaussian probability distribution for surface topography applications

Precision Engineering

Volumn 32, Issue 1, 2008, Pages 34-46

  Cogdell, J David ^a  

^a TIMKEN COMPANY   (United States)

Author keywords

Engineering surfaces; Multi Gaussian; Multi normal; Multi process surfaces; Nonlinear regression; Probability distributions; Surface topography; Tribological functionality

Indexed keywords

GAUSSIAN DISTRIBUTION; ITERATIVE METHODS; NONLINEAR ANALYSIS; REGRESSION ANALYSIS;

ENGINEERING SURFACES; FINER SCALE GAUSSIAN STRUCTURE; MULTI GAUSSIAN; MULTI NORMAL; NONLINEAR REGRESSION;

SURFACE TOPOGRAPHY;

EID: 35748937957     PISSN: 01416359     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.precisioneng.2007.04.004     Document Type: Article

References (13)

1. Abbott E.J., and Firestone F.A. Specifying surface quality. Mech Eng 55 (1933) 569-572
2. Brown C.A., and Savary G. Describing ground surface texture using contact profilometry and fractal analysis. Wear 141 (1991)
3. Cogdell JD, Theoretical and experimental correlations between surface topography and tribological functionality. Dissertation. Rensselaer Polytechnic Institute, 1987.
4. Greenwood J.A., and Williamson J.B.P. Contact of nominally flat surfaces. Proc Royal Soc 295A (1966) 300-319
5. Hollander A.E., and Lancaster J.K. An application of topographical analysis to the wear of polymers. Wear 25 (1973) 155-170
6. Longet-Higgins M.S. Statistical properties of an isotropic random surface. Philos Trans Royal Soc A 250 (1957) 157-174
7. Longet-Higgins M.S. The statistical geometry of random surfaces. Proceedings of the 13th symposium in applied mathematics. American Mathematical Society, Boston (1962) 105-143
8. Majumdar A., and Bushan B. Fractal model of elastic-plastic contact between rough surfaces. J Tribol Trans ASME V113 (1991)
9. Nayak P.R. Random process model of rough surfaces. Trans. ASME: J Lubricat Technol 93F (1971) 398-407
10. Nayak P.R. Some aspects of surface roughness measurement. Wear 26 (1973) 165-174
11. Peklenik J. New developments in surface characterization and measurements by means of random process analysis. Proceedings of the Institute of Mechanical Engineers, 182, 3K, 1967-1968.
12. In: Stout K.J. (Ed). Three-dimensional surface topography; measurement, interpretation and applications (1994), Penton Press
13. Williamson JBP. The microtopography of surfaces, Proceedings of the Institute of Mechanical Engineers, 182, 3K, 1967/1968, pp. 21-30.