Accurate 5-Axis Machining of Twisted Ruled Surfaces

[+] Author and Article Information
Der Min Tsay, Ming Jane Her

Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan

J. Manuf. Sci. Eng 123(4), 731-738 (Apr 01, 2001) (8 pages) doi:10.1115/1.1402628 History: Received December 01, 1999; Revised April 01, 2001
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


do Carmo, M. P., 1976, Differential Geometry of Curves and Surfaces, Prentice-Hall, Englewood Cliffs, New Jersey.
Tsay,  D. M., and Wei,  H. M., 1993, “Design and Machining of Cylindrical Cams with Translating Conical Followers,” Comput.-Aided Des., 25, No. 10, pp. 655–661.
Lee,  Y. S., and Koc,  B., 1998, “Ellipse-Offset Approach and Inclined Zig-zag Method for Multi-Axis Roughing of Ruled Surface Pockets,” Comput.-Aided Des., 30, No. 12, pp. 957–971.
Northern Research and Engineering Corporation, 1990, Max-5 User’s Guide, Woburn, Massachusetts.
Wu,  C. Y., 1995, “Arbitrary Surface Flank Milling of Fan, Compressor, and Impeller Blades,” ASME J. Eng. Gas Turbines Power, 117, pp. 534–539.
Kalpakjian, S., 1997, Manufacturing Processes for Engineering Materials, 3rd ed., Addison Wesley Longman, Inc.
Marciniak,  K., 1987, “Influence of Surface Shape on Admissible Tool Positions in 5-axis Face Milling,” Comput.-Aided Des., 19, No. 5, pp. 233–236.
Vickers,  G. W., and Quan,  K. W., 1989, “Ball-Mills versus End-mills for Curved Surface Machining,” ASME J. Eng. Ind., 111, No. 1, pp. 22–26.
Takeuchi,  Y., and Idemura,  T., 1991, “5-Axis Control Machining and Grinding Based on Solid Model,” CIRP Ann., 40, No. 1, pp. 55–458.
Takeuchi,  Y., and Watanabe,  T., 1992, “Generation of 5-Axis Control Collision-Free Tool Path and Post-Processing for NC Data,” CIRP Ann., 41, No. 1, pp. 539–542.
Hwang,  J. S., 1992, “Interference-Free Tool-Path Generation in the NC Machining of Parametric Compound Surfaces,” Comput.-Aided Des., 24, No. 12, pp. 667–676.
Choi,  B. K., Park,  J. W., and Jun,  C. S., 1993, “Cutter-Location Data Optimization in 5-Axis Surface Machining,” Comput.-Aided Des., 25, No. 6, pp. 377–386.
Li,  S., and Jerard,  R., 1994, “5-Axis Machining of Sculptured Surface With a Flat-End Cutter,” Comput.-Aided Des., 25, No. 3, pp. 165–178.
Suresh,  K., and Yang,  D. C. H., 1994, “Constant Scallop-Height Machining of Free-Form Surfaces,” ASME J. Eng. Ind., 116, No. 2, pp. 253–259.
Tsay,  D. M., Yan,  W. F., and Ho,  H. C., 2001, “Generation of Five-Axis Cutter Paths for a Ball-End Cutter with Global Interference Checking,” ASME J. Eng. Gas Turbines Power, 123, pp. 50–56.
Stute,  G., Storr,  A., and Sielaff,  W., 1979, “NC Programming of Ruled Surfaces for Five-Axis Machining,” CIRP Ann., 28, No. 1, pp. 267–271.
Ravani,  B., and Chen,  Y. J., 1986, “Computer-Aided Design and Machining of Composite Ruled Surfaces,” ASME J. Mech., Transm., Autom. Des., 108, No. 2, pp. 217–223.
Ravani,  B., and Chen,  Y. J., 1991, “Bertrand Offsets of Ruled and Developable Surfaces,” Comput.-Aided Des., 23, No. 2, pp. 145–152.
Rehesteiner,  F., 1993, “Collision-Free Five-Axis Milling of Twisted Ruled Surfaces,” CIRP Ann., 42, No. 1, pp. 457–461.
Elber,  G., and Fish,  R., 1997, “5-Axis Free Form Surface Milling Using Piecewise Ruled Surface Approximation,” ASME J. Manuf. Sci. Eng., 119, pp. 383–387.
Smith,  D. J. L., and Merryweather,  H., 1973, “The Use of Analytical Surfaces for the Design of Centrifugal Impellers by Computer Graphics,” Int. J. Numer. Methods Eng., 7, pp. 137–154.


Grahic Jump Location
Parametric representation of a ruled surface
Grahic Jump Location
Twisted ruled surface and its normals
Grahic Jump Location
Side view of a line element
Grahic Jump Location
Schematic illustration of a cylindrical tool and undercutting
Grahic Jump Location
Spatial relationship between a ruling and a tool axis
Grahic Jump Location
Spatial relationship between a line element and a cutter
Grahic Jump Location
βm and θ between a line element and a cutter
Grahic Jump Location
Relationship between a line element and a raised cutter
Grahic Jump Location
Undercutting for various βm(h=|rs|cos(βm/2))
Grahic Jump Location
Undercutting improved by raising the tool (h=r)
Grahic Jump Location
Undercutting for various tool sizes (βmm/2,h=r)
Grahic Jump Location
Undercutting for different αmmm/2,h=r)
Grahic Jump Location
Undercutting for various ruling lengths (βmm/2,h=r)
Grahic Jump Location
Improved undercutting for various βm and h
Grahic Jump Location
Flank milling for blade surfaces
Grahic Jump Location
Improved surface accuracy by the proposed approach



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In