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TECHNICAL PAPERS

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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References

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.
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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.
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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.
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Figures

Grahic Jump Location
Creating of the expanded antipodal GMap(T) of the machining surface of the tool T
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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
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Examples of the GMapAE(T) of cutting tools of different design
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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)
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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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