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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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2008
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83042 |
Aporte de: |
id |
I19-R120-10915-83042 |
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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 |
_version_ |
1764820488224243715 |