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, Jose Manoel [UNESP], Pontes Jr., Bento Rodrigues [UNESP], Felix, Jorge Luis Psalacios [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/225454
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)ChaosHiperchaosNonlinear dynamicsShape memorySommerfeld 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.Sao Paulo State University Department of Engineering Mechanics, Bauru, SPUNESP - Sao Paulo State University Department of Statistics Applied Mathematical and Computation, Rio Claro, SPSao Paulo State University Department of Engineering Mechanics, Bauru, SPUNESP - Sao Paulo State University Department of Statistics Applied Mathematical and Computation, Rio Claro, SPUniversidade Estadual Paulista (UNESP)Piccirillo, Vinicius [UNESP]Balthazar, Jose Manoel [UNESP]Pontes Jr., Bento Rodrigues [UNESP]Felix, Jorge Luis Psalacios [UNESP]2022-04-28T20:51:09Z2022-04-28T20:51:09Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article597-620Journal of Theoretical and Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.1429-2955http://hdl.handle.net/11449/2254542-s2.0-64149131394Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Theoretical and Applied Mechanicsinfo:eu-repo/semantics/openAccess2022-04-28T20:51:09Zoai:repositorio.unesp.br:11449/225454Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T20:51:09Repositório 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]
Chaos
Hiperchaos
Nonlinear dynamics
Shape memory
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, Jose Manoel [UNESP]
Pontes Jr., Bento Rodrigues [UNESP]
Felix, Jorge Luis Psalacios [UNESP]
author_role author
author2 Balthazar, Jose Manoel [UNESP]
Pontes Jr., Bento Rodrigues [UNESP]
Felix, Jorge Luis Psalacios [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, Jose Manoel [UNESP]
Pontes Jr., Bento Rodrigues [UNESP]
Felix, Jorge Luis Psalacios [UNESP]
dc.subject.por.fl_str_mv Chaos
Hiperchaos
Nonlinear dynamics
Shape memory
Sommerfeld effect
topic Chaos
Hiperchaos
Nonlinear dynamics
Shape memory
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
2022-04-28T20:51:09Z
2022-04-28T20:51:09Z
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 Journal of Theoretical and Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
1429-2955
http://hdl.handle.net/11449/225454
2-s2.0-64149131394
identifier_str_mv Journal of Theoretical and Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
1429-2955
2-s2.0-64149131394
url http://hdl.handle.net/11449/225454
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Theoretical and Applied Mechanics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 597-620
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_ 1803046877220831232

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