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

Authors
de Leon, M Marrero, JC de Diego, DM
Citation
M. De Leon et al., Vakonomic mechanics versus non-holonomic mechanics: a unified geometrical approach, J GEOM PHYS, 35(2-3), 2000, pp. 126-144
Citations number
38
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
35
Issue
2-3
Year of publication
2000
Pages
126 - 144
Database
ISI
SICI code
0393-0440(200009)35:2-3<126:VMVNMA>2.0.ZU;2-B
Abstract
In this paper some geometrical aspects of constrained mechanics are studied . A symplectic setting for vakonomic mechanics is given, and the conservati on of the energy is discussed. This formulation needs constraint forces inv olving accelerations, A reduction procedure is given for Caplygin vakonomic systems. Finally, a unified geometrical framework for non-holonomic and va konomic mechanics is described. (C) 2000 Elsevier Science B.V. All rights r eserved.