On Infinitesimal Cycloidal Kinematic Theory of Planar Motion

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

Rensselaer Polytechnic Institute, Troy, N. Y.

J. Appl. Mech 33(4), 927-933 (Dec 01, 1966) (7 pages) doi:10.1115/1.3625204 History: Received July 20, 1965; Revised December 02, 1965; Online September 15, 2011


A kinematic theory is developed involving infinitesimally close coplanar positions of a moving plane, based on a finite cycloidal kinematic theory of plane motion, which was shown to include Burmester’s classical centerpoint-circlepoint theory as one of several special cases. The infinitesimal theory is developed for both the general cycloidal and for the special circular (Burmester) cases. Applications are derived for closed-form analytic synthesis of higher-order approximate path and motion generator linkages. Examples are given, and implementations of the theory in the form of computer programs are made available.

Copyright © 1966 by ASME
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