Advances in Polynomial Continuation for Solving Problems in Kinematics

[+] Author and Article Information
Andrew J. Sommese

Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618e-mail: sommese@nd.edu, URL: http://www.nd.edu/∼sommese

Jan Verschelde

Department of Mathematics, Statistics, and Computer Science, 851 S. Morgan St. (MC 249) University of Illinois at Chicago, Chicago, IL 60607-7045e-mail: jan@math.uic.edu, URL: http://www.math.uic.edu/∼jan

Charles W. Wampler

General Motors R&D Center, Mail Code 480-106-359, 30500 Mound Road, Warren, MI 48090-9055e-mail: charles.w.wampler@gm.com

J. Mech. Des 126(2), 262-268 (May 05, 2004) (7 pages) doi:10.1115/1.1649965 History: Received July 01, 2002; Revised February 01, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Top: Find all possible assemblies of these pieces into a 7-bar mechanism. Bottom: One such assembly.
Grahic Jump Location
Griffis-Duffy platform. Both base and endplate are equilateral triangles.
Grahic Jump Location
Assemblies of a seven-bar linkage: (a) a solution curve of degree six and (b) one of six isolated solutions.




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