From periodic to chaotic oscillations in composite laminated plates

Detalhes bibliográficos
Autor(a) principal: Ribeiro, P.
Data de Publicação: 2006
Outros Autores: P. Duarte, Rui
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.19/8403
Resumo: The geometrically non-linear, linear elastic, oscillations of composite laminated plates are studied in the time domain by direct numeric integration of the equations of motion. A p-version finite element, where first-order shear deformation is followed and that was recently proposed for moderately thick plates, is employed to define the mathematical model. By applying transverse harmonic forces, the variation of the oscillations with the angle of the fibres is investigated. With this kind of excitation, only periodic motions with a period equal to the one of the excitation are found. However, introducing in-plane forces, m-periodic or quasi-periodic oscillations, as well as chaotic oscillations are computed. The existence of chaos is confirmed by calculating the largest Lyapunov exponent.
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spelling From periodic to chaotic oscillations in composite laminated platesLaminated platesP-versionNon-linearDynamicsChaosThe geometrically non-linear, linear elastic, oscillations of composite laminated plates are studied in the time domain by direct numeric integration of the equations of motion. A p-version finite element, where first-order shear deformation is followed and that was recently proposed for moderately thick plates, is employed to define the mathematical model. By applying transverse harmonic forces, the variation of the oscillations with the angle of the fibres is investigated. With this kind of excitation, only periodic motions with a period equal to the one of the excitation are found. However, introducing in-plane forces, m-periodic or quasi-periodic oscillations, as well as chaotic oscillations are computed. The existence of chaos is confirmed by calculating the largest Lyapunov exponent.ElsevierRepositório Científico do Instituto Politécnico de ViseuRibeiro, P.P. Duarte, Rui2024-05-27T11:13:20Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/8403engRibeiro, P., & Duarte, R. P. (2006). From periodic to chaotic oscillations in composite laminated plates. Computers & Structures, 84(24), 1629–1639. https://doi.org/10.1016/j.compstruc.2005.12.00610.1016/j.compstruc.2005.12.006metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-06-08T02:30:36Zoai:repositorio.ipv.pt:10400.19/8403Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-06-08T02:30:36Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv From periodic to chaotic oscillations in composite laminated plates
title From periodic to chaotic oscillations in composite laminated plates
spellingShingle From periodic to chaotic oscillations in composite laminated plates
Ribeiro, P.
Laminated plates
P-version
Non-linear
Dynamics
Chaos
title_short From periodic to chaotic oscillations in composite laminated plates
title_full From periodic to chaotic oscillations in composite laminated plates
title_fullStr From periodic to chaotic oscillations in composite laminated plates
title_full_unstemmed From periodic to chaotic oscillations in composite laminated plates
title_sort From periodic to chaotic oscillations in composite laminated plates
author Ribeiro, P.
author_facet Ribeiro, P.
P. Duarte, Rui
author_role author
author2 P. Duarte, Rui
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Ribeiro, P.
P. Duarte, Rui
dc.subject.por.fl_str_mv Laminated plates
P-version
Non-linear
Dynamics
Chaos
topic Laminated plates
P-version
Non-linear
Dynamics
Chaos
description The geometrically non-linear, linear elastic, oscillations of composite laminated plates are studied in the time domain by direct numeric integration of the equations of motion. A p-version finite element, where first-order shear deformation is followed and that was recently proposed for moderately thick plates, is employed to define the mathematical model. By applying transverse harmonic forces, the variation of the oscillations with the angle of the fibres is investigated. With this kind of excitation, only periodic motions with a period equal to the one of the excitation are found. However, introducing in-plane forces, m-periodic or quasi-periodic oscillations, as well as chaotic oscillations are computed. The existence of chaos is confirmed by calculating the largest Lyapunov exponent.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2024-05-27T11:13:20Z
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://hdl.handle.net/10400.19/8403
url http://hdl.handle.net/10400.19/8403
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ribeiro, P., & Duarte, R. P. (2006). From periodic to chaotic oscillations in composite laminated plates. Computers & Structures, 84(24), 1629–1639. https://doi.org/10.1016/j.compstruc.2005.12.006
10.1016/j.compstruc.2005.12.006
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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