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Cylindrical milling of ruled surfaces

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Abstract

This paper exploits the differential geometry of ruled surfaces in terms of line geometry to develop a method for tool positioning and path planning in flank or cylindrical milling. The method presented results in more control over the machining error by reducing the effects of over and under cutting in the flank milling operation.

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References

  1. Bedi S, Mann S, Menzel C (2003) Flank milling with flat end milling cutters. Comput Aided Des 35:293–300

    Google Scholar 

  2. Gong H, Cao L-X, Liu J (2005) Improved positioning of cylindrical cutter for flank milling ruled surfaces. Comput Aided Des 37:1205–1213

    Article  Google Scholar 

  3. Guggenheimer HW (1977) Differential geometry. Dover Publications, New York

    MATH  Google Scholar 

  4. Ku TS, Ravani B (1991) Bertrand offsets of ruled and developable surfaces. Comput Aided Des 23(2):145–152

    Article  MATH  Google Scholar 

  5. Lartigue C, Duc E, Affouard A (2003) Tool-path deformation in 5-axis flank milling using envelope surface. Comput Aided Des 35:375–382

    Article  Google Scholar 

  6. Lee J, Suh S (1998) Interference-free tool-path planning for flank milling of twisted ruled surfaces. Int J Adv Manuf Technol 14:795–805

    Article  Google Scholar 

  7. Liu X-W (1995) Five-axis NC cylindrical milling of sculpted surfaces. Comput Aided Des 27:887–894

    Article  Google Scholar 

  8. Marciniak K (1991) Geometric modelling for numerically controlled machining. Oxford University Press, New York

    MATH  Google Scholar 

  9. Menzel C, Bedi S, Mann S (2004) Triple tangent flank milling of ruled surfaces. Comput Aided Des 36:289–296

    Article  Google Scholar 

  10. Peternell M, Pottmann H, Ravani B (1999) On the computational geometry of ruled surfaces. Comput Aided Des 31:17–32

    Article  MATH  Google Scholar 

  11. Redonnet JM, Rubio W, Dessein G (1998) Side milling of ruled surfaces: optimum positioning of the milling cutter and calculation of interference. Int J Adv Manuf Technol 14(7):459–465

    Article  Google Scholar 

  12. Rehsteiner F (1993) Collision-free five-axis milling of twisted ruled surfaces. Ann CIRP 42(1):457–461

    Google Scholar 

  13. Senatore J, Monies F, Redonnet J-M, Rubio W (2005) Analysis of improved positioning in five-axis ruled surface milling using envelope surface. Comput Aided Des 37:989–998

    Article  Google Scholar 

  14. Struik DJ (1961) Lectures on classical differential geometry. Addison-Wesley, Reading, Mass

    MATH  Google Scholar 

  15. Study E (1903) Die geometrie der dynamen. Teubner, Leipzig

  16. Stute G, Storr A, Sielaff W (1979) Nc programming of ruled surfaces for five-axis machining. Ann CIRP 28(1):267–271

    Google Scholar 

  17. Tsay DM, Her MJ (2001) Accurate 5-axis machining of twisted ruled surfaces. J Manuf Sci Eng 123:731–738

    Article  Google Scholar 

  18. Veldkamp GR (1976) On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics. Mech Mach Theory 11:141–156

    Article  Google Scholar 

  19. Wu C (1995) Arbitrary surface flank milling of fan, compressor, and impellerblabes. ASME J Eng Gas Turb Power 117:534–539

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, California State University, Sacramento, CA, USA

    K. Sprott

  2. Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA, USA

    B. Ravani

Authors
  1. K. Sprott
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  2. B. Ravani
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Correspondence to K. Sprott.

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Sprott, K., Ravani, B. Cylindrical milling of ruled surfaces. Int J Adv Manuf Technol 38, 649–656 (2008). https://doi.org/10.1007/s00170-007-1133-6

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  • DOI: https://doi.org/10.1007/s00170-007-1133-6

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