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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Published in:Journal of engineering for industry 1973-05, Vol.95 (2), p.445-450
Main Authors: Eschenbach, P. W, Tesar, D
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Language:English
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creator Eschenbach, P. W
Tesar, D
description 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.
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0022-0817
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title The Dynamic State of a Moving Plane
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