Base-controlled mechanical systems and geometric phases

In this paper, we carry a detailed study of mechanical systems with configuration space Q {long rightwards arrow} Q / G for which the base Q / G variables are being controlled. The overall system's motion is considered to be induced from the base one due to the presence of general non-holonomic...

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Autor principal: Cabrera, Alejandra Fabiana
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Matemática
Classical mechanics
Controlled non-holonomic mechanical systems
Real and complex differential geometry
Reconstruction phases
Time-dependent non-integrable classical systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83042
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83042
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Classical mechanics
Controlled non-holonomic mechanical systems
Real and complex differential geometry
Reconstruction phases
Time-dependent non-integrable classical systems
spellingShingle Matemática
Classical mechanics
Controlled non-holonomic mechanical systems
Real and complex differential geometry
Reconstruction phases
Time-dependent non-integrable classical systems
Cabrera, Alejandra Fabiana
Base-controlled mechanical systems and geometric phases
topic_facet Matemática
Classical mechanics
Controlled non-holonomic mechanical systems
Real and complex differential geometry
Reconstruction phases
Time-dependent non-integrable classical systems
description In this paper, we carry a detailed study of mechanical systems with configuration space Q {long rightwards arrow} Q / G for which the base Q / G variables are being controlled. The overall system's motion is considered to be induced from the base one due to the presence of general non-holonomic constraints. It is shown that the solution can be factorized into dynamical and geometrical parts. Moreover, under favorable kinematical circumstances, the dynamical part admits a further factorization since it can be reconstructed from an intermediate (body) momentum solution, yielding a reconstruction phase formula. Finally, we apply this results to the study of concrete mechanical systems.
format Articulo
Articulo
author Cabrera, Alejandra Fabiana
author_facet Cabrera, Alejandra Fabiana
author_sort Cabrera, Alejandra Fabiana
title Base-controlled mechanical systems and geometric phases
title_short Base-controlled mechanical systems and geometric phases
title_full Base-controlled mechanical systems and geometric phases
title_fullStr Base-controlled mechanical systems and geometric phases
title_full_unstemmed Base-controlled mechanical systems and geometric phases
title_sort base-controlled mechanical systems and geometric phases
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/83042
work_keys_str_mv AT cabreraalejandrafabiana basecontrolledmechanicalsystemsandgeometricphases
bdutipo_str Repositorios
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