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Vakonomic mechanics versus non-holonomic mechanics: a unified geometrical approach

✍ Scribed by Manuel de Leon; Juan C. Marrero; David Martin de Diego


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
123 KB
Volume
35
Category
Article
ISSN
0393-0440

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✦ Synopsis


In this paper some geometrical aspects of constrained mechanics are studied. A symplectic setting for vakonomic mechanics is given, and the conservation of the energy is discussed. This formulation needs constraint forces involving accelerations. A reduction procedure is given for Čaplygin vakonomic systems. Finally, a unified geometrical framework for non-holonomic and vakonomic mechanics is described.