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An extension of Levi-Civita's theorem to nonholonomic dynamical systems

An extension of Levi-Civita's theorem to nonholonomic dynamical systems This paper uses Poincaré formalism to extend the Levi-Civita theorem to cope with nonholonomic systems admitting certain invariant relations whose equations of motion involve constraint multipliers. Sufficient conditions allowing such extension are obtained and, as an application of the theory a generalization of Routh's motion is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Sinica Springer Journals

An extension of Levi-Civita's theorem to nonholonomic dynamical systems

Acta Mechanica Sinica , Volume 6 (2) – Aug 24, 2006

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References (14)

Publisher
Springer Journals
Copyright
Copyright
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02488448
Publisher site
See Article on Publisher Site

Abstract

This paper uses Poincaré formalism to extend the Levi-Civita theorem to cope with nonholonomic systems admitting certain invariant relations whose equations of motion involve constraint multipliers. Sufficient conditions allowing such extension are obtained and, as an application of the theory a generalization of Routh's motion is presented.

Journal

Acta Mechanica SinicaSpringer Journals

Published: Aug 24, 2006

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