Periodic motions in coupled blocks with periodic forcing

The purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are analysed in detail. Firstly, we deal with the one body case, for which it is studi...

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Detalles Bibliográficos
Autor: Martín Navarrete, Rocío
Tipo de recurso: tesis de maestría
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/25064
Acceso en línea:https://hdl.handle.net/2099.1/25064
Access Level:acceso abierto
Palabra clave:Differentiable dynamical systems
Dynamical Systems
Poincaré map
Periodic orbits
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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repository_id_str
spelling Periodic motions in coupled blocks with periodic forcingMartín Navarrete, RocíoDifferentiable dynamical systemsDynamical SystemsPoincaré mapPeriodic orbitsSistemes dinàmics diferenciablesTeoria ergòdicaClassificació AMS::37 Dynamical systems and ergodic theory::37N ApplicationsÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsThe purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are analysed in detail. Firstly, we deal with the one body case, for which it is studied the phase space when there is and when there is not a perturbation acting on the system. In particular, some numerical computations are carried out in order to find periodic orbits making use of the Poincaré impact map. Another special case of piecewise smooth systems is analyzed, a nonlinear impact oscillator. Finally, the one body case is extended to two blocks rocking. The purpose of this study is to look for some periodic orbits in order to know whether the motion of the blocks synchronizes.Universitat Politècnica de CatalunyaMartínez-Seara Alonso, M. Teresa20152015-02-0120152015-02-10master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2099.1/25064reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/250642026-05-27T15:37:01Z
dc.title.none.fl_str_mv Periodic motions in coupled blocks with periodic forcing
title Periodic motions in coupled blocks with periodic forcing
spellingShingle Periodic motions in coupled blocks with periodic forcing
Martín Navarrete, Rocío
Differentiable dynamical systems
Dynamical Systems
Poincaré map
Periodic orbits
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Periodic motions in coupled blocks with periodic forcing
title_full Periodic motions in coupled blocks with periodic forcing
title_fullStr Periodic motions in coupled blocks with periodic forcing
title_full_unstemmed Periodic motions in coupled blocks with periodic forcing
title_sort Periodic motions in coupled blocks with periodic forcing
dc.creator.none.fl_str_mv Martín Navarrete, Rocío
author Martín Navarrete, Rocío
author_facet Martín Navarrete, Rocío
author_role author
dc.contributor.none.fl_str_mv Martínez-Seara Alonso, M. Teresa
dc.subject.none.fl_str_mv Differentiable dynamical systems
Dynamical Systems
Poincaré map
Periodic orbits
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Differentiable dynamical systems
Dynamical Systems
Poincaré map
Periodic orbits
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description The purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are analysed in detail. Firstly, we deal with the one body case, for which it is studied the phase space when there is and when there is not a perturbation acting on the system. In particular, some numerical computations are carried out in order to find periodic orbits making use of the Poincaré impact map. Another special case of piecewise smooth systems is analyzed, a nonlinear impact oscillator. Finally, the one body case is extended to two blocks rocking. The purpose of this study is to look for some periodic orbits in order to know whether the motion of the blocks synchronizes.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-02-01
2015
2015-02-10
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/25064
url https://hdl.handle.net/2099.1/25064
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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