On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11071-019-04765-5 http://hdl.handle.net/11449/185638 |
Resumo: | Nowadays, a novelty of devices that use magnetic restoring forces to generate oscillations has increased substantially. These kinds of devices have been commonly used to energy harvesting area. Therefore, in this paper, numerical and analytical analyses of a non-ideal magnetic levitation system are carried out. The mathematical modeling of the magnetic levitation device is developed and examined considering an electrodynamical shaker to base-excite the main system, which is a non-ideal excitation. The magnetic levitation system has the form of a Duffing oscillator; thus, the nonlinear analysis is required to investigate the energy harvesting potential of this nonlinear system. The novelty here is the use of the shaker to the excitation which is non-ideal. The method of multiple scales is applied to investigate the modes of vibration of the coupled system, which will remark the non-ideality and nonlinear phenomena of the system. The average harvested power is described by through expressions related to the coupling between the mechanical and electrical domains. Moreover, it was developed an expression for the excitation frequency where the maximum harvested power is obtained. The results were obtained based on the numerical method of Runge-Kutta of fourth order with fixed step whose results are shown through phase planes, Poincare maps and parametrical variation. Such results showed multiple existence of behaviors (periodic, quasiperiodic and chaos), coexistence of attractors in a high sensibility of the initial conditions and interesting results of the maximum average power, obtaining high and continuous amount of energy in periodic and chaotic regions. |
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On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analysesMagnetic levitationChaotic behaviorMethod of multiple scalesNonlinear dynamicsEnergy harvestingNon-ideal excitationNowadays, a novelty of devices that use magnetic restoring forces to generate oscillations has increased substantially. These kinds of devices have been commonly used to energy harvesting area. Therefore, in this paper, numerical and analytical analyses of a non-ideal magnetic levitation system are carried out. The mathematical modeling of the magnetic levitation device is developed and examined considering an electrodynamical shaker to base-excite the main system, which is a non-ideal excitation. The magnetic levitation system has the form of a Duffing oscillator; thus, the nonlinear analysis is required to investigate the energy harvesting potential of this nonlinear system. The novelty here is the use of the shaker to the excitation which is non-ideal. The method of multiple scales is applied to investigate the modes of vibration of the coupled system, which will remark the non-ideality and nonlinear phenomena of the system. The average harvested power is described by through expressions related to the coupling between the mechanical and electrical domains. Moreover, it was developed an expression for the excitation frequency where the maximum harvested power is obtained. The results were obtained based on the numerical method of Runge-Kutta of fourth order with fixed step whose results are shown through phase planes, Poincare maps and parametrical variation. Such results showed multiple existence of behaviors (periodic, quasiperiodic and chaos), coexistence of attractors in a high sensibility of the initial conditions and interesting results of the maximum average power, obtaining high and continuous amount of energy in periodic and chaotic regions.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Tecnol Fed Parana, Dept Elect, Ave Monteiro Lobato, BR-84016210 Ponta Grossa, SP, BrazilSao Paulo State Univ, Fac Mech Engn Bauru, BR-17033360 Bauru, SP, BrazilUniv Fed Sao Joao del Rei, Dept Math & Phys, BR-36420000 Ouro Branco, MG, BrazilSao Paulo State Univ, Fac Mech Engn Bauru, BR-17033360 Bauru, SP, BrazilCNPq: 447539/2014-0SpringerUniv Tecnol Fed ParanaUniversidade Estadual Paulista (Unesp)Univ Fed Sao Joao del ReiRocha, Rodrigo TumolinBalthazar, Jose Manoel [UNESP]Tusset, Angelo MarceloThomaz de Souza, Silvio LuizJanzen, Frederic ConradArbex, Hassan Costa [UNESP]2019-10-04T12:37:12Z2019-10-04T12:37:12Z2019-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3423-3438http://dx.doi.org/10.1007/s11071-019-04765-5Nonlinear Dynamics. Dordrecht: Springer, v. 95, n. 4, p. 3423-3438, 2019.0924-090Xhttp://hdl.handle.net/11449/18563810.1007/s11071-019-04765-5WOS:000465631500051Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2024-06-28T13:54:49Zoai:repositorio.unesp.br:11449/185638Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-06-28T13:54:49Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
title |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
spellingShingle |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses Rocha, Rodrigo Tumolin Magnetic levitation Chaotic behavior Method of multiple scales Nonlinear dynamics Energy harvesting Non-ideal excitation |
title_short |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
title_full |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
title_fullStr |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
title_full_unstemmed |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
title_sort |
On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses |
author |
Rocha, Rodrigo Tumolin |
author_facet |
Rocha, Rodrigo Tumolin Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo Thomaz de Souza, Silvio Luiz Janzen, Frederic Conrad Arbex, Hassan Costa [UNESP] |
author_role |
author |
author2 |
Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo Thomaz de Souza, Silvio Luiz Janzen, Frederic Conrad Arbex, Hassan Costa [UNESP] |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Univ Tecnol Fed Parana Universidade Estadual Paulista (Unesp) Univ Fed Sao Joao del Rei |
dc.contributor.author.fl_str_mv |
Rocha, Rodrigo Tumolin Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo Thomaz de Souza, Silvio Luiz Janzen, Frederic Conrad Arbex, Hassan Costa [UNESP] |
dc.subject.por.fl_str_mv |
Magnetic levitation Chaotic behavior Method of multiple scales Nonlinear dynamics Energy harvesting Non-ideal excitation |
topic |
Magnetic levitation Chaotic behavior Method of multiple scales Nonlinear dynamics Energy harvesting Non-ideal excitation |
description |
Nowadays, a novelty of devices that use magnetic restoring forces to generate oscillations has increased substantially. These kinds of devices have been commonly used to energy harvesting area. Therefore, in this paper, numerical and analytical analyses of a non-ideal magnetic levitation system are carried out. The mathematical modeling of the magnetic levitation device is developed and examined considering an electrodynamical shaker to base-excite the main system, which is a non-ideal excitation. The magnetic levitation system has the form of a Duffing oscillator; thus, the nonlinear analysis is required to investigate the energy harvesting potential of this nonlinear system. The novelty here is the use of the shaker to the excitation which is non-ideal. The method of multiple scales is applied to investigate the modes of vibration of the coupled system, which will remark the non-ideality and nonlinear phenomena of the system. The average harvested power is described by through expressions related to the coupling between the mechanical and electrical domains. Moreover, it was developed an expression for the excitation frequency where the maximum harvested power is obtained. The results were obtained based on the numerical method of Runge-Kutta of fourth order with fixed step whose results are shown through phase planes, Poincare maps and parametrical variation. Such results showed multiple existence of behaviors (periodic, quasiperiodic and chaos), coexistence of attractors in a high sensibility of the initial conditions and interesting results of the maximum average power, obtaining high and continuous amount of energy in periodic and chaotic regions. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-04T12:37:12Z 2019-10-04T12:37:12Z 2019-03-01 |
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 |
http://dx.doi.org/10.1007/s11071-019-04765-5 Nonlinear Dynamics. Dordrecht: Springer, v. 95, n. 4, p. 3423-3438, 2019. 0924-090X http://hdl.handle.net/11449/185638 10.1007/s11071-019-04765-5 WOS:000465631500051 |
url |
http://dx.doi.org/10.1007/s11071-019-04765-5 http://hdl.handle.net/11449/185638 |
identifier_str_mv |
Nonlinear Dynamics. Dordrecht: Springer, v. 95, n. 4, p. 3423-3438, 2019. 0924-090X 10.1007/s11071-019-04765-5 WOS:000465631500051 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nonlinear Dynamics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
3423-3438 |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1803649629465608192 |