On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)

Detalhes bibliográficos
Autor(a) principal: Piccirillo, Vinicius [UNESP]
Data de Publicação: 2008
Outros Autores: Balthazar, José Manoel [UNESP], Pontes, Bento Rodrigues [UNESP], Psalacios Felix, Jorge Luis [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=597
http://hdl.handle.net/11449/24970
Resumo: In this paper, we present nonlinear dynamic behaviour of a system which consists of a mass connected to a rigid support by a shape memory alloy (SMA) element and a damper. In order to disturb the system, a DC motor with limited power supply is connected to the mass, causing an interaction between the vibrating structure and the energy source. The SMA element is characterised using a one-dimensional phenomenological constitutive model, based on the classical Devonshire theory. We analyse the non-ideal system in form of two coupled nonlinear differential equations. Some interesting nonlinear phenomena as the Sommerfeld effect and nonlinear resonance including periodic, chaotic and hyperchaotic regime are presented.
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spelling On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)shape memorynonlinear dynamicschaoshiperchaosSommerfeld effectIn this paper, we present nonlinear dynamic behaviour of a system which consists of a mass connected to a rigid support by a shape memory alloy (SMA) element and a damper. In order to disturb the system, a DC motor with limited power supply is connected to the mass, causing an interaction between the vibrating structure and the energy source. The SMA element is characterised using a one-dimensional phenomenological constitutive model, based on the classical Devonshire theory. We analyse the non-ideal system in form of two coupled nonlinear differential equations. Some interesting nonlinear phenomena as the Sommerfeld effect and nonlinear resonance including periodic, chaotic and hyperchaotic regime are presented.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNESP, Dept Engn Mech, Bauru, SP, BrazilUNESP, Dept Stat Appl Math & Computat, Rio Claro, SP, BrazilUNESP, Dept Engn Mech, Bauru, SP, BrazilUNESP, Dept Stat Appl Math & Computat, Rio Claro, SP, BrazilPolish Soc Theoretical & Applied MechanicsUniversidade Estadual Paulista (Unesp)Piccirillo, Vinicius [UNESP]Balthazar, José Manoel [UNESP]Pontes, Bento Rodrigues [UNESP]Psalacios Felix, Jorge Luis [UNESP]2013-09-30T18:50:47Z2014-05-20T14:16:33Z2013-09-30T18:50:47Z2014-05-20T14:16:33Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article597-620application/pdfhttp://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=597Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.1429-2955http://hdl.handle.net/11449/24970WOS:000258787200008WOS000258787200008.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Theoretical and Applied Mechanics0.7830,321info:eu-repo/semantics/openAccess2023-10-16T06:05:11Zoai:repositorio.unesp.br:11449/24970Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-16T06:05:11Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
title On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
spellingShingle On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
Piccirillo, Vinicius [UNESP]
shape memory
nonlinear dynamics
chaos
hiperchaos
Sommerfeld effect
title_short On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
title_full On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
title_fullStr On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
title_full_unstemmed On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
title_sort On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
author Piccirillo, Vinicius [UNESP]
author_facet Piccirillo, Vinicius [UNESP]
Balthazar, José Manoel [UNESP]
Pontes, Bento Rodrigues [UNESP]
Psalacios Felix, Jorge Luis [UNESP]
author_role author
author2 Balthazar, José Manoel [UNESP]
Pontes, Bento Rodrigues [UNESP]
Psalacios Felix, Jorge Luis [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Piccirillo, Vinicius [UNESP]
Balthazar, José Manoel [UNESP]
Pontes, Bento Rodrigues [UNESP]
Psalacios Felix, Jorge Luis [UNESP]
dc.subject.por.fl_str_mv shape memory
nonlinear dynamics
chaos
hiperchaos
Sommerfeld effect
topic shape memory
nonlinear dynamics
chaos
hiperchaos
Sommerfeld effect
description In this paper, we present nonlinear dynamic behaviour of a system which consists of a mass connected to a rigid support by a shape memory alloy (SMA) element and a damper. In order to disturb the system, a DC motor with limited power supply is connected to the mass, causing an interaction between the vibrating structure and the energy source. The SMA element is characterised using a one-dimensional phenomenological constitutive model, based on the classical Devonshire theory. We analyse the non-ideal system in form of two coupled nonlinear differential equations. Some interesting nonlinear phenomena as the Sommerfeld effect and nonlinear resonance including periodic, chaotic and hyperchaotic regime are presented.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01
2013-09-30T18:50:47Z
2013-09-30T18:50:47Z
2014-05-20T14:16:33Z
2014-05-20T14:16:33Z
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 http://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=597
Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
1429-2955
http://hdl.handle.net/11449/24970
WOS:000258787200008
WOS000258787200008.pdf
url http://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=597
http://hdl.handle.net/11449/24970
identifier_str_mv Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
1429-2955
WOS:000258787200008
WOS000258787200008.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Theoretical and Applied Mechanics
0.783
0,321
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 597-620
application/pdf
dc.publisher.none.fl_str_mv Polish Soc Theoretical & Applied Mechanics
publisher.none.fl_str_mv Polish Soc Theoretical & Applied Mechanics
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_ 1803046017320353792

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