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Abstract

The characterization of functional surfaces is done mainly by roughness which can be quantified by many parameters. In order to select relevant roughness parameters, a multiscale discriminant method is proposed and applied to characterize high-precision turned surfaces. First, surfaces are characterized by a single roughness parameter and secondly by a pair of roughness parameters. In all cases, the most relevant evaluation length is also determined for each parameter. The results obtained on four different samples show that the most relevant roughness parameter is R_k estimated on a 10μm evaluation length. The best pair of parameters is Δ_a and R_i, estimated respectively on 20μm and 100μm evaluation lengths. R_k well characterizes the microroughness, which seems to be mainly representative of the roughness of high-precision machined surfaces. However, only multiscale analyses with a pair of roughness parameters can characterize both the macroscopic and microscopic morphologies of machined surfaces.

Keywords

roughness material surface multiscale discriminant method high precision turning

References

ISO 1101 Geometrical Product Specifications (GPS) - Geometrical tolerancing - Tolerances of form, orientation, location and run-out, 1996.

ISO 3274 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Nominal characteristics of contact (stylus) instruments, 1996.

ISO 4287 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Terms, definitions and surface texture parameters, 1997.

ISO 4288 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Rules and procedures for the assessment of surface texture, 1996.

ISO 8785 Geometrical Product Specification (GPS) - Surface imperfections - Terms, definitions and parameters, 1998.

ISO 11562 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Metrological characteristics of phase correct filters, 1996.

ISO 12085 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Motif parameters, 1996.

ISO 13565-1 Geometrical Product Specifications (GPS) - Surface texture: Profile method; Surfaces having stratified functional properties - Part 1: Filtering and general measurement conditions, 1996.

ISO 13565-2 Geometrical Product Specifications (GPS) - Surface texture: Profile method; Surfaces having stratified functional properties - Part 2: Height characterization using the linear material ratio curve, 1996.

10.

ISO 13565-3 Geometrical Product Specifications (GPS) - Surface texture: Profile method; Surfaces having stratified functional properties - Part 3: Height characterization using the material probability curve, 1998.

11.

ISO 14660-1 Geometrical Product Specifications (GPS) - Geometrical features - Part 1: General terms and definitions, 1999.

12.

Bigerelle

Najjar

Iost

Relevance of roughness parameters for description and modelling of machined surfaces

J. Mater. Sci., 2003, 38(11), 2525–2536.

13.

Najjar

Bigerelle

Iost

The computer based Bootstrap method as a tool to select a relevant surface roughness parameter

Wear, 2003, 5–6(254), 450–460.

14.

Bigerelle

Najjar

Iost

Multi-scale functional analyses of wear: A fractal model of the grinding process

Wear, 2005, 258(1–4), 232–239.

15.

Koenig

Sinhoff

Zamel

Manufacturing strategies for production of ultra precision parts. Tutorial UME3, Aachen, 1994.

16.

König

Spenrath

Diamond machining technology. Sixth IPES/UME2, Braunschweig, 1991, pp. 141–152.

17.

Yuan

Z. Y.

Zhou

Dong

Effect of diamond tool sharpness on minimum cutting thickness in ultra precision machining

J. Mater. Proc. Technol., 1996, 62 (4), 327–330.

18.

Oomen

J. M.

Eisses

Wear of monocrystalline diamond tools during ultraprecision machining of non ferrous metals

Precision Engng, 1992, 14, 206–218.

19.

Khanfir

Bonis

Revel

Improving waviness in ultra precision turning by optimizing the dynamic behaviour of a spindle with magnetic bearings

Int. J. Mach. Tools Mf., 2005, 45, 841–848.

20.

Fouché

Marioge

J.-P.

Mullot

Magnetic bearing spindle application on high precision turning (Application de la broche à paliers magnétique à l'usinage de très haute précision). Revue Scientifique et Technique de la Défense, 1988, 99–109.

21.

Khanfir

Study of high precision machining by cutting tool, and measurement and characterisation suitable techniques (Etude du procédé d'usinage de haute précision par outil de coupe et des techniques de mesure et de caractérisation adaptées). PhD Thesis, Université de Technologie de Compiègne, 2002.

22.

Whitehouse

D. J.

The parameter rash - is there a cure?

Wear, 1982, 83(1), 75–78.

23.

Sacerdotti

Surface characterization open-source universal toolbox

Measmt Sci. Technol., 2002, 13, 785–791.

24.

Pike

R. J.

Nano-metrology and terrain modelling, convergent practice in surface characterisation

Tribology Int., 2000, 33(9), 593–600.

25.

Whitehouse

D. J.

Function maps and the role of surfaces

Int. J. Mach. Tools Mf., 2001, 41(13–14), 1847–1861.

26.

Stafford

K. N.

Stafford

K. N.

Nanometres to micrometres: Three-dimensional surface measurement in bio-engineering

Surf. Coat. Technol., 1995, 71(2), 69–81.

27.

Rosen

B. G.

Wennerberg

Rosen

Topographical characterisation of artificial femoral heads: A Benchmarking study

Wear, 2004, 257(12), 1275–1280.

28.

Chang

W. R.

Hirvonen

Grönqvist

The effects of cut-off length on surface roughness parameters and their correlation with transition friction

Saf. Sci, 2004, 42(8), 755–769.

29.

Skands

Wahlberg

Christensen

L. H.

Palfelt

Borregaard

Alexandersen

N. B.

Johansen

Ronning

Russ

J. C.

Surface analysis of injection molded TV components

Int. J. Mach. Tools Mf., 1998, 38(5–6), 477–484.

30.

Dong

W. P.

Mainsah

Stout

K. J.

Determination of appropriate sampling conditions for three dimensional microtopography measurement

Int. J. Mach. Tools Mf., 1996, 36(12), 1347–1362.

31.

Farin

Curves and surfaces for computer-aided geometric design - a practical guide, fourth edition, 1996 (Academic Press, New York).

32.

Fisher

R. A.

The use of multiple measurements in taxonomic problems

Ann. Eugenics, 1936, 7, 179–188.

33.

Cooley

W. W.

Lohnes

P. R.

Multivariate data analysis, 1971 (John Wiley & Sons, New York).

34.

Tatsuoka

M. M.

Multivariate analysis, 1971 (John Wiley & Sons, New York).

35.

Kshirsagar

A. M.

Multivariate analysis, 1972 (Marcel Dekker, New York).

36.

Lachenbruch

P. A.

Discriminant analysis, 1975 (Hafner, New York).

37.

Lachenbruch

P. A.

Discriminant analysis

Biometrics, 1979, 35, 69–85.

38.

Gnanadesikan

Methods for statistical data analysis of multivariate observations, 1979 (John Wiley & Sons, New York).

39.

Klecka

W. R.

Discriminant analysis. In Sage University Paper Series on Quantitative applications in the social sciences, 1980 (Sage Publications, Beverly Hills, CA).

40.

Hand

D. J.

Discrimination and classification, 1981 (John Wiley & Sons, New York).

41.

Hand

D. J.

Kernel discriminant analysis, 1982 (Research Studies Press, New York).

42.

Silverman

B. W.

Density estimation for statistics and data analysis, 1986 (Chapman and Hall, New York).

43.

Glick

Additive estimators for probabilities of correct classification

J. Pattern Recognition, 1978, 10, 211–222.

44.

Hora

S. C.

Wilcox

J. B.

Estimation of error rates in several-population discriminant analysis

J. Market. Res., 1982, 19, 57–61.

45.

Revel

Khanfir

Fillit

R. Y.

Surface characterization of aluminium alloys after diamond turning

J. Mater. Proc. Technol., 2006, 178, 154–161.

Multiscale morphology of high-precision turning process surfaces

Abstract

Abstract

Keywords

References