Accuracy improvement method for flank milling surface design

ORIGINAL ARTICLE

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.

Keywords

Curved surface design Flank milling Surface numerical analysis Surface error control 

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References

  1. 1.
    Li CG, Bedi S, Mann S (2006) Surface design for flank milling. Submitted to CAD, JulyGoogle Scholar
  2. 2.
    Dokken T, Daehlen M (1990) Good approximation of circles by curvature-continuous bézier curves. Comput Aided Geom Des 7:33–41MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Bedi S, Mann S, Menzel C (2003) Flank milling with flat end cutters. CAD 35:293–300Google Scholar
  4. 4.
    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):1115–1124CrossRefGoogle Scholar
  5. 5.
    Liu X (1995) Five-axis NC cylindrical milling of sculptured surfaces. CAD 27(12):887–894Google Scholar
  6. 6.
    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):422–463Google Scholar
  7. 7.
    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):459–465CrossRefGoogle Scholar
  8. 8.
    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):422–463CrossRefGoogle Scholar
  9. 9.
    Elber G, Fish R (1997) 5-axis freeform surface milling using piecewise ruled surface approximation. ASME J Eng Ind 119:383–387CrossRefGoogle Scholar
  10. 10.
    Wu CY (1995) Arbitrary surface flank milling of fan, compressor and impeller blades. Transactions of the ASME. J Eng Gas Turbine Power 117:534–539CrossRefGoogle Scholar
  11. 11.
    Mann S, Bedi S (2001) Generalization of the imprint method to general surfaces of revolution for NC machining. CAD 34:373–378Google Scholar
  12. 12.
    Lartigue C, Duc E, Affouard A (2003) Tool path deformation in 5-axis flank milling using envelop surface. CAD 35:375–382Google Scholar
  13. 13.
    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 1109–2769Google Scholar
  14. 14.
    Farin G (2002) Curves and surfaces for computer-aided geometric design: a practical guide. Academic PressGoogle Scholar
  15. 15.
    Piegl L, Tiller W (1997) The NURBS book. Springer-Verlag Berlin Heidelberg 1995 and 1997Google Scholar
  16. 16.
    Li CG, Mann S, Bedi S (2005) Error measurements for flank milling. CAD 37:1459–1468Google Scholar
  17. 17.
    Li CG, Bedi S, Mann S (2007) Flank millable surface design in 5-axis machining. International conference on smart machining systems. Gaithersburg, Maryland, USA, MarchGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2007

Authors and Affiliations

  1. 1.Mechanical Engineering DepartmentUniversity of WaterlooWaterlooCanada
  2. 2.David R. Cheriton School of Computer ScienceUniversity of WaterlooWaterlooCanada

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