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TECHNICAL PAPERS

A New Principle of CNC Tool Path Planning for Three-Axis Sculptured Part Machining—A Steepest-Ascending Tool Path

[+] Author and Article Information
Zezhong C. Chen

Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, Canada, H3G 1M8

Geoffrey W. Vickers, Zuomin Dong

Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada V8W 3P6

J. Manuf. Sci. Eng 126(3), 515-523 (Sep 07, 2004) (9 pages) doi:10.1115/1.1765147 History: Received January 01, 2004; Online September 07, 2004
Copyright © 2004 by ASME
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References

Choi, B. K., and Jerard, R. B., 1998, Sculptured Surface Machining: Theory and Application, Kluwer Academic Publishers.
Broomhead,  P., and Edkins,  M., 1986, “Generation NC Data at the Machine Tool for the Manufacture of Free-Form Surfaces,” Int. J. Prod. Res., 24(1), pp. 1–14.
Choi,  B. K., Lee,  C., Huang,  J., and Jun,  C., 1988, “Compound Surface Modeling and Machining,” Comput.-Aided Des., 20(3), pp. 127–136.
Huang,  Y., and Oliver,  J. H., 1994, “Non-Constant Parameter NC Tool Path Generation on Sculptured Surfaces,” The International Journal of Advanced Manufacturing Technology,9, pp. 281–290.
Yang,  D. C. H., and Han,  Z., 1999, “Interference Detection and Optimal Tool Selection in 3-Axis NC Machining of Free-Form Surfaces,” Comput.-Aided Des., 31, pp. 303–315.
Lin,  R., and Koren,  Y., 1996, “Efficient Tool-Path Planning for Machining Free-Form Surfaces,” ASME J. Ind., 118, pp. 20–28.
Sarma,  R., and Dutta,  D., 1997, “The Geometry and Generation of NC Tool Paths,” ASME J. Mech. Des., 119, pp. 253–258.
Suresh,  K., and Yang,  D. C. H., 1994, “Constant Scallop Height Machining of Free-Form Surfaces,” ASME J. Ind., 116, pp. 253–259.
Maeng,  H., Ly,  M., and Vickers,  G. W., 1996, “Feature-Based Machining of Curved Surfaces Using the Steepest Directed Tree Approach,” Journal of Manufacturing Systems,15(6), pp. 1–13.
Chen,  Z., Dong,  Z., and Vickers,  G. W., 2003, “Most Efficient Tool Feed Direction in Three-Axis CNC Machining,” Journal of Integrated Manufacturing Systems,14 (7).
Chen, Z., Dong, Z., and Vickers, G. W., 2001, “Steepest-Directed Tool Path in 3-Axis CNC Machining—The Most Efficient Machining Scheme and its Mathematical Proof,” Proceedings of the ASME 2001 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2001/CIE-21301.
Chen,  Z., Vickers,  G. W., and Dong,  Z., 2003, “Integrated Steepest-Directed and Iso-Cusped Tool Path Generation for 3-Axis CNC Machining of Sculptured Parts,” Journal of Manufacturing Systems,22 (3).
Faux, I. D., and Pratt, M. J., 1979, Computational Geometry for Design and Manufacture, Ellis Horwood Limited, West Sussex, England.
Riddle, D. F., 1970, Calculus and Analytic Geometry, Wadsworth Publishing Company, Inc., Belmont, California.
Marsden, J., and Weinstein A., 1985, Calculus III, Springer-Verlag New York Inc., New York.

Figures

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Steepest tangent direction of a surface at a cutter contact point
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Steepest-ascending tool paths for a sculptured surface
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A generic machining model of torus end-mill
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Effective cutting edge and its length
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Horizontal cylinder and tool feed directions
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ECE lengths of three cutters in five tool feed directions
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Relationship between ECE length and tool feed direction at CC point (80°,50)
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Relationship between ECE length and tool feed direction at CC point (70°,50)
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Relationship between ECE length and tool feed direction at CC point (60°,50)
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Relationship between the ECE length and CC points
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(a) Sculptured part; (b) steepest-ascending tool paths of the sculptured part
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(a) Machined part with steepest-ascending tool paths; (b) machined part with tool paths generated with CATIA system
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SDIC tool paths of a sculptured surface
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SDIC tool paths of the hemi-cylindrical part
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SDIC tool paths with a frame of one steepest-ascending tool path
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SDIC tool paths with a frame of 33 steepest-ascending tool paths
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Three types of tool paths for the hemi-cylindrical part
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SDIC tool paths and machined component with surface tolerance 0.01 mm

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