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Applied Mathematics and Computation
Volume 121, Issues 2-3, 15 June 2001, Pages 211-217
 
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doi:10.1016/S0096-3003(99)00291-X    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Elsevier Science Inc. All rights reserved.

Analytical dynamics with constraint forces that do work in virtual displacements

Robert KalabaCorresponding Author Contact Information and Firdaus Udwadia

Department of Biomedical Engineering, University of Southern California, OHE-500 University Park, Los Angeles, CA 90089-1451, USA

Available online 25 October 2001.

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Abstract

Lagrangian mechanics is extended to cover situations in which constraint forces are permitted to do work on a system in virtual displacements.

Author Keywords: Lagrangian mechanics; Pseudoinverse of a matrix; Principle of virtual work

Article Outline

1. Introduction
2. Constraints forces that do work on the system
3. Derivation of the new explicit equation of motion
4. An example
5. Discussion
References

 
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