Multi-scale curvature tensor analysis of machined surfaces

• Autorzy: Bartkowiak T. , Brown C.

Identyfikatory

DOI

10.1515/amtm-2016-0009

• Języki publikacji: EN

Abstrakty

EN

This paper demonstrates the use of multi-scale curvature analysis, an areal new surface characterization technique for better understanding topographies, for analyzing surfaces created by conventional machining and grinding. Curvature, like slope and area, changes with scale of observation, or calculation, on irregular surfaces, therefore it can be used for multi-scale geometric analysis. Curvatures on a surface should be indicative of topographically dependent behavior of a surface and curvatures are, in turn, influenced by the processing and use of the surface. Curvatures have not been well characterized previously. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. In the current work two parts were machined and then one of them was ground. The surface topographies were measured with a scanning laser confocal microscope. Plots of curvatures as a function of position and scale are presented, and the means and standard deviations of principal curvatures are plotted as a function of scale. Statistical analyses show the relations between curvature and these two manufacturing processes at multiple scales.

Słowa kluczowe

EN

curvature tensor; surface metrology; multi-scale geometric characterization; machining

PL

tensor krzywizny; metrologia powierzchni; charakterystyka geometryczna; obróbka

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Archives of Mechanical Technology and Materials
• Rocznik: 2016
• Tom: Vol. 36
• Strony: 44--50
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Bartkowiak T.

• Poznan University of Technology, Institute of Mechanical Technology

autor

Brown C.

• Worcester Polytechnic Institute, Surface Metrology Laboratory, Mechanical Engineering Department, USA

Bibliografia

• [1] Bartkowiak T., Hyde J., Brown C.A., Multi-scale curvature tensor analysis of surfaces created by micro-EDM and functional correlations with discharge energy, 5th International Conference on Surface Metrology, At Poznan University of Technology, Poznan, Poland, 2016.
• [2] Bartkowiak T., Lehner J.T., Hyde J., Wang Z., Pedersen D.B., Hansen H.N., Brown C.A., Multi-scale areal curvature analysis of fused deposition surfaces, Conference: ASPE Spring Topical Meeting on Achieving Precision Tolerances in Additive Manufacturing, At Raleigh, North Carolina, USA, 2015, pp 77-82.
• [3] Berglund J., Brown C.A., Rosen B.-G., Bay N., Milled die steel surface roughness correlation with steel sheet friction CIRP Ann.-Manuf. Technol., 2010, vol. 59, pp. 577–580.
• [4] Boulanger J., The “Motifs” method: An interesting complement to ISO parameters for some functional problems, International Journal of Machine Tools and Manufacture, 1992, vol. 32, nr 1, pp. 203-209.
• [5] Brown C.A., Siegmann S., Fundamental scales of adhesion and area-scale fractal analysis Int. J. Mach. Tools Manuf., 2001, vol. 41, pp. 1927–1933.
• [6] Cantor G.J., Brown C.A., Scale-based correlations of relative areas with fracture of chocolate, Wear, 2009, vol. 266, pp. 609–612.
• [7] Goldfeather J., Interrante V., A novel cubic-order algorithm for approximation principal directions vectors, ACM Transactions on Graphics, 2004, vol. 23, nr 1, pp. 45-63.
• [8] Lou S., Jiang X., Scott P.J., Correlating motif analysis and morphological filters for surface texture analysis, Measurement, 2013, vol. 46, nr 2, pp. 993-1001.
• [9] Theisel H., Rossi C., Zayer R., Seidel H.-P., Normal based estimation of the curvature tensor for triangular meshes, Computer Graphics and Applications, 2004. PG 2004. Proceedings. 12th Pacific Conference on Computer Graphics and Applications, 6-8 Oct. 2004, pp. 288-297.
• [10] Vulliez M., Gleason M.A., Souto-Lebel A., Quinsat Y., Lartigue C., Kordell S.P., Lemoine A.C., and Brown C.A., Multi-scale curvature analysis and correlations with the fatigue limit on steel surfaces after milling, Procedia CIRP, 2014, vol.13, pp. 308-313.
• [11] Weingarten J. (1861), "Ueber eine Klasse auf einander abwickelbarer Fläachen". Journal für die Reine und Angewandte Mathematik, 1861, vol. 59, pp. 382–393.
• [12] Zeng Y., Wang K., Mello B.C., Wang Z., Brown C.A., Multi-Scale Evaluations of the Roughness of Surfaces made by Additive Manufacturing, ASPE Abstract: 3953, 2014 ASPE Spring Topical Meeting, Dimensional Accuracy and Surface Finish in Additive Manufacturing, April 13-16, 2014, University of California - Berkeley.
• [13] ASME B46.1-2009 Surface Texture (Surface Roughness, Waviness and Lay) (New York: American Society of Mechanical Engineers).

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.