A Curvilinear Tool-Path Method for Pocket Machining

[+] Author and Article Information
Michael B. Bieterman, Donald R. Sandstrom

Mathematics & Computing Technology, The Boeing Company, Seattle, WA 98124-2207

J. Manuf. Sci. Eng 125(4), 709-715 (Nov 11, 2003) (7 pages) doi:10.1115/1.1596579 History: Received April 01, 2003; Online November 11, 2003
Copyright © 2003 by ASME
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Bieterman, M. B., and Sandstrom, D. R., 1996, “A Strategy for Prescribing High Speed Pocket Machining Tool Paths,” Technical Report SSGTECH-96-020, The Boeing Company.
Bieterman, M. B., and Sandstrom, D. R., 1998, “Curvilinear Spiral Tool Path Trajectories for High Speed Pocket Machining,” Technical Report SSGTECH-98-031, The Boeing Company.
Bieterman, M. B., and Sandstrom, D. R., 2002, “A Curvilinear Tool-Path Method for Pocket Machining,” ASME IMECE2002-MED-33611.
Bieterman, M., 2001, “Curvilinear Tool Paths for Pocket Machining,” presentation at the University of Minnesota Institute for Mathematics and its Applications, March 16, 2001 (see http://www.ima.umn.edu/industrial/2000-2001/bieterman.html).
Bieterman, M., 2001, “Mathematics in Manufacturing: New Approach Cuts Milling Costs,” SIAM News (News journal of the Society for Industrial and Applied Mathematics), 34 (7), Sept. 2001 (see http://wwwsiam.org/siamnews/09-01/milling.pdf).
Bieterman, M., 2002, “Curvilinear Tool Paths for Pocket Machining,” Proceedings of the Society of Manufacturing Engineers High Speed Machining Technical Program, Los Angeles, CA, May 14–15.
Zelinski, P., 2002, “Curvilinear Tool Paths for Pocket Machining,” Modern Machine Shop magazine, pp. 54–55, July (see http://www.mmsonline.com/articles/0702rt1.html).
Held, M. 1991, On the Computational Geometry of Pocket Machining, Volume 500 of Lecture Notes in Computer Science, Springer-Verlag.
Held,  M., Lukács,  G., and Andor,  L., 1994, “Pocket Machining Based on Contour-Parallel Tool Paths Generated by Means of Proximity Maps,” Comput.-Aided Des., 26(3), pp. 189–203.
Persson,  H., 1978, “NC Machining of Arbitrary Shaped Pockets,” Comput.-Aided Des., 10(3), pp. 169–174.
Kramer,  T. R., 1992, “Pocket Milling with Tool Engagement Detection,” J. Manuf. Syst., 11(2), pp. 114–123.
Arkin,  E. M., Held,  M., and Smith,  C. L., 2000, “Optimization Problems Related to Zigzag Pocket Machining,” Algorithmica, 26(2), pp. 197–236.
Guyder,  M. K., 1990, “Automating the Optimization of 212 Axis Milling,” Computers in Industry, 15, pp. 163–168.
Suh,  Y. S., and Lee,  K., 1990, “NC Milling Tool Path Generation for Arbitrary Pockets Defined by Sculptured Surfaces,” Comput.-Aided Des., 22(5), pp. 273–284.
Preiss,  K., and Kaplansky,  E., 1985, “Automated CNC Milling by Artificial Intelligence Methods,” J. Manuf. Syst., 4(1), pp. 51–63.
Dragomatz,  D., and Mann,  S., 1997, “A Classified Bibliography of Literature on NC Milling Path Generation,” Comput.-Aided Des., 29(3), pp. 239–247.
Unigraphics/CAM V18 User Manual, 2001, Cypress, CA.
CATIA V5 Introduction User Guide, 2001, The CAD/CAM Partnership, UK.
Wang, H., and Stori, J. A., 2002, “A Metric-Based Approach to 2D Tool-Path Optimization for High-Speed Machining,” ASME IMECE2002-MED-33610.
Stori,  J. A., and Wright,  P. K., 2000, “Constant Engagement Tool-Path Generation for Convex Geometries,” J. Manuf. Syst., 19(3), pp. 172–184.
Courant, R., and Hilbert, D., 1953, Methods of Mathematical Physics, Vol. I, Interscience Publishers.
Farlow, S. J., 1982, Partial Differential Equations for Scientists and Engineers, John Wiley & Sons (reprinted by Dover in 1993).
Strang, G., and Fix, G. J. 1973, An Analysis of the Finite Element Method, Prentice-Hall, Inc.
Bathe, K. J., and Wilson, E. L., 1976, Numerical Methods in Finite Element Analysis, Prentice-Hall, Inc.
The Math Works, Inc., 1996, 24 Prime Park Way, Natick, MA 01760-1500, MATLAB Partial Differential Equation Toolbox User’s Guide.
Jackson, J. D., 1962, Classical Electrodynamics, John Wiley & Sons, Inc.
Renton,  D., and Elbestawi,  M. A., 2000, “High Speed Servo Control of Multi-Axis Machine Tools,” Int. J. Mach. Tools Manuf., 40, pp. 539–559.
Stori,  J. A., and Ferreira,  P. M., 2002, “Design of a High-Speed Parallel Kinematics X-Y Table and Optimal Velocity Scheduling for High-Speed Machining,” Transactions of the North American Manufacturing Research Institution of SME, XXX, pp. 447–454.
Smith, T. S., Timar, S. D., and Farouki, R. T., 2002, “Specification of Time-Optimal Feedrates for Curved Tool Paths in 3-Axis Machining,” preprint, University of California, Davis, CA.
Betts, J. T., 1998, “Parametric Tool Path Trajectory Optimization,” Technical Report SSGTECH-98-006, The Boeing Company.


Grahic Jump Location
Conventional pocket-machining tool path
Grahic Jump Location
Curvilinear tool path for pocket machining
Grahic Jump Location
Recent curvilinear tool-path test
Grahic Jump Location
Contours used to guide curvilinear tool path for a pocket
Grahic Jump Location
Curvilinear tool path for a pocket
Grahic Jump Location
Conventional tool path for a pocket
Grahic Jump Location
Curvilinear tool path for a pocket
Grahic Jump Location
Results for computational experiment



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