, Volume 5, Issue 1, pp 32–44 | Cite as

Truncated separation method for characterizing and reconstructing bi-Gaussian stratified surfaces

  • Songtao Hu
  • Weifeng Huang
  • Noel Brunetiere
  • Xiangfeng LiuEmail author
  • Yuming Wang
Open Access
Research Article


Existing ISO segmented and continuous separation methods for differentiating the two components contained within a bi-Gaussian stratified surface were developed based on the fit of the probability material ratio curve. In the present study, because of the significant effect of the plateau component on tribological behavior such as asperity contact, wear and friction, a truncated separation method is proposed based on the truncation of the upper Gaussian component defined by zero skewness. The three separation methods are applied to real worn surfaces. Surface-separation and surface-reconstruction results show that the truncated method accurately captures the upper component identically to the ISO and continuous ones. The identification of the lower component characteristics requires performing a curve fit procedure on the data left after truncation. However, the truncated method fails in identifying the upper component when the material ratio of the transition is less than 9%.


surface simulation worn surface stratified surface mechanical face seal 



This work was supported by the National Key Basic Research (973) Program of China (No. 2012CB026003), the National Science and Technology Major Project (No. ZX06901), and the National Science and Technology Support Plan Projects (No. 2015BAA08B02).


  1. [1]
    Whitehouse D J. Surfaces-a link between manufacture and function. Proc Inst Mech Eng 192: 179–188 (1978)CrossRefGoogle Scholar
  2. [2]
    Hu S, Brunetiere N, Huang W, Liu X, Wang Y. Continuous separating method for characterizing and reconstructing bi- Gaussian stratified surfaces. Tribol Int 102: 454–452 (2016)CrossRefGoogle Scholar
  3. [3]
    Minet C, Brunetiere N, Tournerie B, Fribourg D. Analysis and modeling of the topography of mechanical seal faces. Tribol Trans 53: 799–815 (2010)CrossRefGoogle Scholar
  4. [4]
    Whitehouse D J. Assessment of surface finish profiles produced by multi-process manufacture. Proc the Inst Mech Eng Part B: J Eng Manufact 199: 263–270 (1985)CrossRefGoogle Scholar
  5. [5]
    Malburg M C, Raja J, Whitehouse D J. Characterization of surface texture generated by plateau honing process. CIRP Annals-Manufacturing Technology 42: 637–639 (1993)CrossRefGoogle Scholar
  6. [6]
    Sannareddy H, Raja J, Chen K. Characterization of surface texture generated by multi-process manufacture. Int J Mach Tools Manufact 38: 529–536 (1998)CrossRefGoogle Scholar
  7. [7]
    Leefe S E. Bi-Gaussian’ representation of worn surface topography in elastic contact problems. Tribol Ser 34: 281–290 (1998)CrossRefGoogle Scholar
  8. [8]
    Pawlus P, Grabon W. The Method of Truncation parameters measurement from material ratio curve. Prec Eng 32: 342–347 (2008)CrossRefGoogle Scholar
  9. [9]
    Hu S, Huang W, Brunetiere N, Song Z, Liu X, Wang Y. Stratified effect of continuous bi-Gaussian rough surface on lubrication and asperity contact. Tribol Int 104: 328–341 (2016)CrossRefGoogle Scholar
  10. [10]
    Hu S, Brunetiere N, Huang W, Liu X, Wang Y. Stratified revised asperity contact model for worn surfaces. J Tribol in press, DOI 10.1115/1.4034531 (2016)Google Scholar
  11. [11]
    Abbot E J, Firestone F A. Specifying surface quality. Mech Eng 55: 569–578 (1933)Google Scholar
  12. [12]
    Surface texture: Profile method; surfaces having stratified functional properties—Part 2: Height characterization using the linear material ratio curve. ISO 13565-2, 1996.Google Scholar
  13. [13]
    Surface texture: Profile method; surfaces having stratified functional properties—Part 3: Height characterization using the material probability curve. ISO 13565-3, 1998.Google Scholar
  14. [14]
    Williamson J P B. Microtopography of surfaces. Proc Inst Mech Eng 182: 21–30 (1985)Google Scholar
  15. [15]
    Staufert G. Characterization of random roughness profiles —A comparison of AR-modeling technique and profile description by means of commonly used parameters. Annals of the CIRP 28: 431–435 (1979)Google Scholar
  16. [16]
    De Vries W R. Autoregressive time series models for surface profile characterization. Annals of the CIRP 28: 437–440 (1979)Google Scholar
  17. [17]
    Whitehouse D J. The generation of two dimensional random surfaces having a specified function. Annals of the CIRP 32: 495–498 (1983)CrossRefGoogle Scholar
  18. [18]
    Patir N. A Numerical method for random generation of rough surfaces. Wear 47: 263–277 (1978)CrossRefGoogle Scholar
  19. [19]
    Bakolas V. Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces. Wear 254: 546–554 (2004)CrossRefGoogle Scholar
  20. [20]
    Hu Y Z, Tonder K. Simulation of 3-D random rough surface by 2-D digital filter and Fourier analysis. Int J Mach Tools Manufact 32: 83–90 (1992)CrossRefGoogle Scholar
  21. [21]
    Majumdar A, Tien C. Fractal characterization and simulation of rough surfaces. Wear 136: 313–327 (1990)CrossRefGoogle Scholar
  22. [22]
    Wu J. Simulation of rough surfaces with FFT. Tribol Int 33: 47–58 (2000)CrossRefGoogle Scholar
  23. [23]
    Wu J. Simulation of non-Gaussian surfaces with FFT. Tribol Int 37: 339–346 (2004)CrossRefGoogle Scholar
  24. [24]
    Johnson N L. Systems of frequency curves generated by method of translation. Biometrika 36: 149–176 (1949)MathSciNetCrossRefzbMATHGoogle Scholar
  25. [25]
    Watson W, Spedding T A. The time series modelling of non-Gaussian engineering processes. Wear 83: 215–231 (1982)CrossRefGoogle Scholar
  26. [26]
    Hill I D, Hill R, Holder R L. Fitting Johnson curves by moments. Applied Statistics 25: 180–189 (1976)CrossRefGoogle Scholar
  27. [27]
    Francisco A, Brunetiere N. A Hybrid method for fast and efficient rough surface generation. IMechE Part J: J Eng Tribol 230: 747–768 (2016)CrossRefGoogle Scholar
  28. [28]
    Pawlus P. Simulation of stratified surface topographies. Wear 264: 457–463 (2008)CrossRefGoogle Scholar
  29. [29]
    Tomescu A. Simulation of surface roughness for tribological applications. Master thesis. Universite de Poitiers, Poitiers, France, 2012.Google Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Songtao Hu
    • 1
  • Weifeng Huang
    • 1
  • Noel Brunetiere
    • 2
  • Xiangfeng Liu
    • 1
    Email author
  • Yuming Wang
    • 1
  1. 1.State Key Laboratory of TribologyTsinghua UniversityBeijingChina
  2. 2.Institut PprimeCNRS-Universite de Poitiers-ENSMAFuturoscope Chasseneuil CedexFrance

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