NC Verification of Up to 5 Axis Machining Processes Using Manifold Stratification

[+] Author and Article Information
Karim Abdel-Malek

Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242e-mail: karim-abdel-malek@uiowa.edu

Walter Seaman

Department of Mathematics, The University of Iowa, Iowa City, IA 52242e-mail: walter-seaman@uiowa.edu

Harn-Jou Yeh

Microtek International, Taiwan e-mail: hjyeh@microtek.com.tw

J. Manuf. Sci. Eng 123(1), 99-109 (Nov 01, 1999) (11 pages) doi:10.1115/1.1286168 History: Received February 01, 1999; Revised November 01, 1999
Copyright © 2001 by ASME
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Grahic Jump Location
Identifying the boundary using admissible directions
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Varieties due to (a) p1,p2,p7; (b) p3,p4; and (c) p5,p6
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Varieties due to (a) p63,p65 and (b) p71,p72. Varieties due to (c) p79−p86 and (d) p31−p38. Varieties due to (e) p39−p46 and (f) p33⋯p27.
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(a) Subvarieties of ξ27 shown as curves. (b) The reducible variety ξ27.
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(a) Four reducible varieties. (b) The boundary to the manifold (material removed).
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A four parameter verification
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Varieties due to p6 and p7
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(a) Cross section at zi=0. (b) Cross-section at zi=1.
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Area of each cross section through the swept volume versus the z-elevation




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