TECHNICAL PAPERS
Apr 1, 2005

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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References

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 131Issue 4April 2005
Pages: 444 - 450

History

Received: Nov 10, 2003
Accepted: Sep 28, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005

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Notes

Note. Associate Editor: Joel P. Conte

Authors

Affiliations

Firdaus E. Udwadia [email protected]
Professor, Dept. of Aerospace and Mechanical Engineering, Civil Engineering, Mathematics, and Operations and Information Management, 430K Olin Hall, Univ. of Southern California, Los Angeles, CA 90089-1453. E-mail: [email protected]

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