Fractal Study on Blank Residue of Mould Cavity

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Abstract:

A mathematical model of fractal interpolation surface is introuduced in this paper. A calculation to fractal dimension of the messy point data is proposed and used to get appropriate vertical scale factor to construct precise blank residue model. Fractal dimensions of different fractal interpolation surfaces with different vertical scale factor are different. The relationship between vertical scale factor and fractal dimension is obtained through calculating fractal dimensions of tested surfaces which are created by fractal interpolation with different vertical scale factor.

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Periodical:

Advanced Materials Research (Volumes 418-420)

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1734-1738

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Online since:

December 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Zhou G Y, Leu M C. Fractal geometry model for wear prediction [J] .Wear, 1993, 170(1):1-14.

DOI: 10.1016/0043-1648(93)90345-m

Google Scholar

[2] Hasegawa M, Liu J C, Okuda Ketal. Calculation of the fractal dimensions of machined surface profiles [J]. Wear, 1996 (192): 40-45.

DOI: 10.1016/0043-1648(95)06768-x

Google Scholar

[3] Majumdar A, Bhu Shan B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces [J]. ASME J Tribolog y, 990,112(1): 205-216.

DOI: 10.1115/1.2920243

Google Scholar

[4] Chenggui Li, Shen Dong. Counting methods of fractal dimension for 3D surface topography. Aviation Precision Manufacturing Technology, 2000, 36(4):36-40. (In Chinese)

Google Scholar

[5] Dubuc B., Quiniou J., Roques-Carmes C. Evaluating the Fractal Dimension of Profiles. Physical Review A.1989, 39(3):1500-1512.

DOI: 10.1103/physreva.39.1500

Google Scholar