The Dynamic State of a Moving Plane

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...

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Bibliographic Details
Published in:Journal of engineering for industry 1973-05, Vol.95 (2), p.445-450
Main Authors: Eschenbach, P. W, Tesar, D
Format: Article
Language:English
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Summary: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.
ISSN:1087-1357
0022-0817
1528-8935
DOI:10.1115/1.3438175