Equations of Motion for Mechanical Systems
Publication: Journal of Aerospace Engineering
Volume 9, Issue 3
Abstract
This paper deals with the description of constrained motion within the context of classical dynamics. An alternative, and simpler, proof for the recently developed new equation of motion for constrained systems is presented. The interpretation of this equation leads to new principles of analytical dynamics. We show how these results relate to Lagrange's formulation of constrained motion. New results related to the existence, uniqueness, and explicit determination of the Lagrange multipliers are provided. The approach developed herein is compared with those of Gibbs and Appell, and that of Dirac. Three examples of the application of the new equation are provided to illustrate their use.
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Information & Authors
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Published In
Journal of Aerospace Engineering
Volume 9 • Issue 3 • July 1996
Pages: 64 - 69
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jul 1, 1996
Published in print: Jul 1996
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