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
Grahic Jump Location
Varieties due to (a) p1,p2,p7; (b) p3,p4; and (c) p5,p6
Grahic Jump Location
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.
Grahic Jump Location
(a) Subvarieties of ξ27 shown as curves. (b) The reducible variety ξ27.
Grahic Jump Location
(a) Four reducible varieties. (b) The boundary to the manifold (material removed).
Grahic Jump Location
A four parameter verification
Grahic Jump Location
Varieties due to p6 and p7
Grahic Jump Location
(a) Cross section at zi=0. (b) Cross-section at zi=1.
Grahic Jump Location
Area of each cross section through the swept volume versus the z-elevation



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