Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker

Detalhes bibliográficos
Autor(a) principal: Marques, Carlos Eduardo [UNESP]
Data de Publicação: 2020
Outros Autores: Balthazar, Jose Manoel [UNESP], Ribeiro, Mauricio Aparecido, Lenz, Wagner Barth, Tusset, Angelo Marcelo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/233035
Resumo: In this paper, we present a mathematical model and numerical investigations of a pendulum system excited by an EDS (Electro-Dynamical Shaker). The dynamic analysis is considered by history of the time, phase plane, Poincaré map, bifurcation diagram, FFT and Lyapunov Exponent. Numerical simulations demonstrate that the model has quasi-periodic or periodic behavior for certain range of parameters.
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spelling Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shakerChaotic oscillationsEnergy harvestingMechanical vibrationsNonlinear systemsIn this paper, we present a mathematical model and numerical investigations of a pendulum system excited by an EDS (Electro-Dynamical Shaker). The dynamic analysis is considered by history of the time, phase plane, Poincaré map, bifurcation diagram, FFT and Lyapunov Exponent. Numerical simulations demonstrate that the model has quasi-periodic or periodic behavior for certain range of parameters.Universidade Tecnologica Federal do Parana - Parana (UTFPR)Universidade Estadual Paulista 'Julio de Mesquita Filho'Universidade Estadual Paulista 'Julio de Mesquita Filho'Universidade Tecnologica Federal do Parana - Parana (UTFPR)Universidade Estadual Paulista (UNESP)Marques, Carlos Eduardo [UNESP]Balthazar, Jose Manoel [UNESP]Ribeiro, Mauricio AparecidoLenz, Wagner BarthTusset, Angelo Marcelo2022-05-01T00:16:33Z2022-05-01T00:16:33Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article533-540Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 533-540, 2020.2041-31732041-3165http://hdl.handle.net/11449/2330352-s2.0-85091527314Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematics in Engineering, Science and Aerospaceinfo:eu-repo/semantics/openAccess2022-05-01T00:16:33Zoai:repositorio.unesp.br:11449/233035Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:33:45.036260Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
title Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
spellingShingle Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
Marques, Carlos Eduardo [UNESP]
Chaotic oscillations
Energy harvesting
Mechanical vibrations
Nonlinear systems
title_short Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
title_full Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
title_fullStr Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
title_full_unstemmed Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
title_sort Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker
author Marques, Carlos Eduardo [UNESP]
author_facet Marques, Carlos Eduardo [UNESP]
Balthazar, Jose Manoel [UNESP]
Ribeiro, Mauricio Aparecido
Lenz, Wagner Barth
Tusset, Angelo Marcelo
author_role author
author2 Balthazar, Jose Manoel [UNESP]
Ribeiro, Mauricio Aparecido
Lenz, Wagner Barth
Tusset, Angelo Marcelo
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Tecnologica Federal do Parana - Parana (UTFPR)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Marques, Carlos Eduardo [UNESP]
Balthazar, Jose Manoel [UNESP]
Ribeiro, Mauricio Aparecido
Lenz, Wagner Barth
Tusset, Angelo Marcelo
dc.subject.por.fl_str_mv Chaotic oscillations
Energy harvesting
Mechanical vibrations
Nonlinear systems
topic Chaotic oscillations
Energy harvesting
Mechanical vibrations
Nonlinear systems
description In this paper, we present a mathematical model and numerical investigations of a pendulum system excited by an EDS (Electro-Dynamical Shaker). The dynamic analysis is considered by history of the time, phase plane, Poincaré map, bifurcation diagram, FFT and Lyapunov Exponent. Numerical simulations demonstrate that the model has quasi-periodic or periodic behavior for certain range of parameters.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
2022-05-01T00:16:33Z
2022-05-01T00:16:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 533-540, 2020.
2041-3173
2041-3165
http://hdl.handle.net/11449/233035
2-s2.0-85091527314
identifier_str_mv Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 533-540, 2020.
2041-3173
2041-3165
2-s2.0-85091527314
url http://hdl.handle.net/11449/233035
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematics in Engineering, Science and Aerospace
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 533-540
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128248231493632

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