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RESEARCH PAPERS

Symmetrical Algebraic Motions in the Plane

[+] Author and Article Information
S. De Sa, B. Roth

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

J. Mech. Des 101(1), 15-19 (Jan 01, 1979) (5 pages) doi:10.1115/1.3454016 History: Received June 21, 1978; Online October 21, 2010

Abstract

Planar symmetrical motions are those planar motions for which, in every position, the fixed and moving centrodes are symmetrical with respect to the pole-tangent. When the centrodes are algebraic curves the motion is called an algebraic symmetrical motion. The concept of kinematic mappings is used to establish the properties of such motions and also to obtain the equations of the paths generated by the points of the moving plane. Finally it is shown how this concept may be used to classify motion.

Copyright © 1979 by ASME
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