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RESEARCH PAPERS

Kinematic Mappings. Part 1: Classification of Algebraic Motions in the Plane

[+] Author and Article Information
S. De Sa

Hewlett Packard, San Diego, Calif. 92127

B. Roth

Department of Mechanical Engineering, Stanford University, Stanford, Calif. 94305

J. Mech. Des 103(3), 585-591 (Jul 01, 1981) (7 pages) doi:10.1115/1.3254958 History: Received June 01, 1980; Online November 17, 2009

Abstract

A classification scheme is developed for algebraic motions in the plane. The method is based upon the study of curves in a special three dimensional space into which the planar motions are mapped. As an example all possible cubic motions are classified. It is shown that this mapping, originally proposed by Blaschke, is based upon the rotation curves and the rotation angles of the planar motion.

Copyright © 1981 by ASME
Topics: Motion
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