Higher-Order Plane Motion Theories in Kinematic Synthesis

[+] Author and Article Information
G. N. Sandor

Rensselaer Polytechnic Institute, Troy, N. Y.

F. Freudenstein

Columbia University, New York, N. Y.

J. Eng. Ind 89(2), 223-230 (May 01, 1967) (8 pages) doi:10.1115/1.3610032 History: Received June 28, 1966; Online August 25, 2011


Algebraic multiple-position theories in kinematic synthesis are classified in a manner which also suggests various extensions of classical circular theory. In the case of infinitesimally separated positions, parabolic, elliptic, hyperbolic, and general conic-section theories are developed. The results, which are generally applicable, are illustrated with reference to the synthesis of cycloidal motions involving higher-order path generation.

Copyright © 1967 by ASME
Topics: Motion
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