Computation of Optimal Workpiece Orientation for Multi-axis NC Machining of Sculptured Part Surfaces

[+] Author and Article Information
Stephen P. Radzevich

New Venture Gear, Inc., 6600 New Venture Gear Drive, East Syracuse, NY 13057-1209e-mail: radzevich@NVG.com

Erik D. Goodman

A. H. Case Center for Computer-Aided Engineering and Manufacturing, Michigan State University, 2857 W. Jolly Road, Okemos, MI 48864e-mail: goodman@egr.msu.edu

J. Mech. Des 124(2), 201-212 (May 16, 2002) (12 pages) doi:10.1115/1.1468634 History: Received August 01, 1996; Revised January 01, 2000; Online May 16, 2002
Copyright © 2002 by ASME
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Radzevich, S. P., 1987, The Method of Workpiece Optimal Orientation, Patent No. 1442371 (USSR), date of priority February 17.
Radzevich, S. P., 1991, Sculptured Part Surfaces Multi-Axis NC Machining, Kiev, Vishcha Shkola Publishing House, p. 192, (In Russian).
Gan, J. G., 1990, Spherical Algorithms for Setup Orientation of Workpiece With Sculptured Surfaces, Ph.D. dissertation, Dept. of IOE, University of Michigan, Ann Arbor, MI, p. 158.
Chen,  L.-L., Chau,  S.-Y., and Woo,  T. C., 1993, “Parting Directions for Mold and Die Design,” Comput.-Aided Des., 25(12), pp. 762–768.
Chen,  L.-L., Chou,  S.-Y., and Woo,  T. C., 1993, “Separating and Intersecting Spherical Polygons; Computing Machinability on Three-, Four-, and Five-Axis Numerically Controlled Machines,” ACM Transactions on Graphics, 12(4), pp. 305–326.
Gan,  J. G., Woo,  T. C., and Tang,  K., 1994, “Spherical Maps: Their Construction, Properties, and Approximation,” ASME J. Mech. Des., 116, pp. 357–363.
Haghpassand, K., 1994, Computational Geometry for Optimal Workpiece Orientation, Ph.D. dissertation, Dept. of Mechanical and Aerospace Engineering, State University of New York at Buffalo.
Haghpassand, K., and Oliver, J. H., 1991, “Computational Geometry for Optimal Workpiece Orientation,” Advances in Design Automation-1991, DE-Vol. 32-2, pp. 169–175. ASME Design Automation Conference, September 1991, New York.
Haghpassand,  K., and Oliver,  J. H., 1995, “Computational Geometry for Optimal Workpiece Orientation,” ASME J. Mech. Des., 117, p. 239–335.
Kang,  J.-K., and Suh,  S.-H., 1997, “Machinability and Set-up Orientation for Five-axis Numerically Controlled Machining of Free Surfaces,” Int. J. Adv. Manuf. Technol., 13, pp. 311–325.
Gauss, K.-F., 1965, Disquisitions Generales Circa Superficies Curvas, Goettingen, 1828. [English translation: General Investigation of Curved Surfaces, by J. C. Moreheat and A. M. Hiltebeitel, Princeton, 1902, reprinted with introduction by Courant, Raven Press, Hewlett, New York, p. 119.
Banchoff, T., Gaffney, T., and McCrory, C., 1982, Cusps of Gauss Mapping, Pitman Advanced Publishing Program, Boston, London, Melbourne, p. 88.
Chen,  L.-L., and Woo,  T. C., 1992, “Computational Geometry on the Sphere With Application to Automated Machining,” ASME J. Mech. Des., 114, pp. 288–295.
Tang,  K., Woo,  T. C., and Gan,  J. G., 1992, “Maximum Intersection of Spherical Polygons and Workpiece Orientation for 4- and 5-axis Machining,” ASME J. Mech. Des., 114, pp. 477–485.
Arni,  R., and Gupta,  S. K., 2001, “Manufacturablity Analysis of Flatness Tolerances in Solid Freeform Fabrication,” ASME J. Mech. Des., 123, pp. 148–156.
Onuh, S. O., and Hon, K. K., 1997 “Optimizing Build Parameters and Hatch Style for Part Accuracy in Stereolithography,” in the Proceedings of Solid Freeform Fabrication Symposium, Austin, August 11–13, pp. 653–660.
Ramakrishna, A., 2000, “Web-Based Manufacturability Analysis for Solid Freeform Fabrication,” MS thesis, Mechanical Engineering Department, University of Maryland, College Park.
Rosen, D. W., Sambu, S. P., and West, A. P., 2001, “A Process Planning Method for Improving Build Performance in Stereolithography,” Comput.-Aided Des., (in press).
Pududhai, N. S., and Dutta, D., 1994, “Determination of Optimal Orientation Based on Variable Slicing Thickness in Layered Manufacturing,” Technical Report UM-MEAM- 94-14. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
Weinstein, M., and Manoochehri, S., 1996, “Geometric Influence of a Molded Part on the Draw Direction Range and Parting Line Locations,” ASME J. Mech. Des., 118 .
doCarmo, M. P., 1976. Differential Geometry of Curves and Surfaces, Prentice-Hall, NY, p. 503.
Paul, R. P., 1982, Robot Manipulators. Mathematics, Programming and Control, MIT Press, Cambridge MA, p. 279.
Teicholz, E., 1985, CAD/CAM Handbook, McGraw-Hill Book Company.
Kells, L. M., Kern, W. F., and Bland, J. R., 1951, Plane and Spherical Trigonometry, 3rd ed., McGraw-Hill, NY, p. 318
Radzevich, S. P., 2001, Fundamentals of Part Surface Generating, p. 592 (In Russian).
Radzevich, S. P., 2001, “Conditions of Proper Sculptured Part Surface Machining on Multi-Axis NC Machine,” Computer-Aided Design (in press).


Grahic Jump Location
Arbitrary orientation of sculptured part surface P
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GMap of a point on part surface P
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Optimal orientation of the workpiece on the worktable of a multi-axis NC machine
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Example of a part surface P to be machined at one setup 4
Grahic Jump Location
Examples of the GMapAE(T) of cutting tools of different design
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Creating of the expanded antipodal GMap(T) of the machining surface of the tool T
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Multilayer GMap(P) of part surface P
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Three-axis NC machining of sculptured part surface P with multilayer (two-layer) GMapM(P)
Grahic Jump Location
Indicatrix of machinability MIndx(P) of part surface P
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Conditions of machining of a cylindrical local portion of part surface P with various parameters of its shape
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Example of a part surface to be machined  
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A grid of nearly rectangular patches on the part surface to be machined
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The optimal orientation of the part surface to be machined on the worktable of 3-axis milling machine



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