Abstract
In this paper, a variation of the method of designing surfaces for flank milling proposed by Li et al. 2006 (Surface design for flank milling. Submitted to CAD, July) is presented. Li’s method is based on the premise that the surface flank milled by a cylindrical tool can be represented by a NURBS surface and can be used by designers to build efficient impellers, blades and other engineering parts. In the proposed method, a four control point curve is used to approximate the grazing curves and for subsequent generation of a polynomial surface. This eliminates the need of weights for the interior control points and still results in a good surface. The accuracy of the surface can be controlled by adding control points. Examples are given to demonstrate the proposed surface design method.
Similar content being viewed by others
References
Li CG, Bedi S, Mann S (2006) Surface design for flank milling. Submitted to CAD, July
Dokken T, Daehlen M (1990) Good approximation of circles by curvature-continuous bézier curves. Comput Aided Geom Des 7:33–41
Bedi S, Mann S, Menzel C (2003) Flank milling with flat end cutters. CAD 35:293–300
Li CG, Bedi S, Mann S (2006) Flank milling of ruled surface with conical tools-an optimization approach. Int J Adv Manuf Technol 29(11–12):1115–1124
Liu X (1995) Five-axis NC cylindrical milling of sculptured surfaces. CAD 27(12):887–894
Bohez ELJ, Senadhera SDR, Pole K, Duflou JR, Tar T (1997) A geometric modelling and five-axis machining algorithm for centrifugal impellers. J Manuf Syst 16(6):422–463
Redonnet J-M, Rubio W, Dessein G (1998) Side milling of ruled surfaces: optimum positioning of the milling cutter and calculation of interference. Adv Manuf Technol 14(7):459–465
Bohez ELJ, Senadhera SDR, Pole KJ, Duflou R, Tar T (1997) A geometric modelling and five-axis machining algorithm for centrifugal impellers. J Manuf Syst 16(6):422–463
Elber G, Fish R (1997) 5-axis freeform surface milling using piecewise ruled surface approximation. ASME J Eng Ind 119:383–387
Wu CY (1995) Arbitrary surface flank milling of fan, compressor and impeller blades. Transactions of the ASME. J Eng Gas Turbine Power 117:534–539
Mann S, Bedi S (2001) Generalization of the imprint method to general surfaces of revolution for NC machining. CAD 34:373–378
Lartigue C, Duc E, Affouard A (2003) Tool path deformation in 5-axis flank milling using envelop surface. CAD 35:375–382
Li CG, Bedi S, Mann S (2006) Flank milling surface design with the least square approach. WSEAS Trans Math 5(7):844–852, July ISSN 1109–2769
Farin G (2002) Curves and surfaces for computer-aided geometric design: a practical guide. Academic Press
Piegl L, Tiller W (1997) The NURBS book. Springer-Verlag Berlin Heidelberg 1995 and 1997
Li CG, Mann S, Bedi S (2005) Error measurements for flank milling. CAD 37:1459–1468
Li CG, Bedi S, Mann S (2007) Flank millable surface design in 5-axis machining. International conference on smart machining systems. Gaithersburg, Maryland, USA, March
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, C., Bedi, S. & Mann, S. Accuracy improvement method for flank milling surface design. Int J Adv Manuf Technol 38, 218–228 (2008). https://doi.org/10.1007/s00170-007-1092-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-007-1092-y