New General Principle of Mechanics and Its Application to General Nonideal Nonholonomic Systems
Publication: Journal of Engineering Mechanics
Volume 131, Issue 4
Abstract
In this paper we develop a general minimum principle of analytical dynamics that is applicable to nonideal constraints. The new principle encompasses Gauss’s Principle of Least Constraint. We use this principle to obtain the general, explicit, equations of motion for holonomically and/or nonholonomically constrained systems with non-ideal constraints. Examples of a nonholonomically constrained system where the constraints are nonideal, and of a system with sliding friction, are presented.
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© 2005 ASCE.
History
Received: Nov 10, 2003
Accepted: Sep 28, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005
Notes
Note. Associate Editor: Joel P. Conte
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