RESEARCH PAPERS: Mechanisms Papers

The Dynamic State of a Moving Plane

[+] Author and Article Information
P. W. Eschenbach

Deering Milliken Research Corporation, Spartanburg, S. C.

D. Tesar

University of Florida, Gainesville, Fla.

J. Eng. Ind 95(2), 445-450 (May 01, 1973) (6 pages) doi:10.1115/1.3438175 History: Received June 22, 1972; Online July 15, 2010


Salient loci existing for special properties of the nth-order motion state are investigated. Generalized analytical expressions are given for the loci as functions of the motion parameters in a rectangular coordinate system. Metric geometry is used to show that the well known Bresse circles are the proper circles to a pencil of circles. Circles similar to the Bresse circles are shown to exist for the nth-order motion state with an associated coaxial pencil of circles. A detailed treatment for special properties of velocity, acceleration, and jerk is presented.

Copyright © 1973 by ASME
Topics: Motion , Functions , Geometry
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