Natural vibrations of anisotropic plates with an internal curve with hinges

Autores
Quintana, María Virginia; Raffo, Javier Leandro
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that requires the continuity of the transverse displacements. It is well known that the difficulty in choosing admissible functions has been the most significant drawback of the Ritz method. To relax the admissibility requirement the Ritz method, with polynomials as coordinate functions, in conjunction with the Penalty Function method is proposed. This study is focus on different problems related the curved hinge and a natural parametrization is used to treat the mentioned curves. The accuracy of the formulation is ensured by comparing some numerical examples with those available in the literature. Cases not previously treated are particularly analyzed. Frequencies parameters and several sets of vibration mode shapes are included, to provide a better understanding of the dynamical behavior of these plates.
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Fil: Quintana, María Virginia. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Peer Reviewed
Fuente
Raffo, J L y Quintana, M V, “Natural Vibrations of Anisotropic Plates with an Internal Curve with Hinges”, International Journal of Mechanical Sciences, ISSN 0020-7403, Vol 120, 301-310
Materia
UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-18T19:14:38Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4554
Acceder
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network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling Natural vibrations of anisotropic plates with an internal curve with hingesQuintana, María VirginiaRaffo, Javier LeandroUTNFRDVibration AnisotropicplateRitzPenalty functionInternal curve HingeThe objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that requires the continuity of the transverse displacements. It is well known that the difficulty in choosing admissible functions has been the most significant drawback of the Ritz method. To relax the admissibility requirement the Ritz method, with polynomials as coordinate functions, in conjunction with the Penalty Function method is proposed. This study is focus on different problems related the curved hinge and a natural parametrization is used to treat the mentioned curves. The accuracy of the formulation is ensured by comparing some numerical examples with those available in the literature. Cases not previously treated are particularly analyzed. Frequencies parameters and several sets of vibration mode shapes are included, to provide a better understanding of the dynamical behavior of these plates.Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.Fil: Quintana, María Virginia. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.Peer Reviewed2020-09-18T19:14:38Z2020-09-18T19:14:38Z2017-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/20.500.12272/455410.1016/j.ijmecsci.2016.11.031Raffo, J L y Quintana, M V, “Natural Vibrations of Anisotropic Plates with an Internal Curve with Hinges”, International Journal of Mechanical Sciences, ISSN 0020-7403, Vol 120, 301-310reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenghttps://www.sciencedirect.com/science/article/abs/pii/S0020740316309602?via%3Dihubinfo:eu-repo/semantics/openAccess2020-09-18T19:14:38Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, Javier LeandroAtribución–No Comercial–Compartir Igual (by-nc-sa)2026-09-24T12:48:56Zoai:ria.utn.edu.ar:20.500.12272/4554instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:48:57.246Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Natural vibrations of anisotropic plates with an internal curve with hinges
title Natural vibrations of anisotropic plates with an internal curve with hinges
spellingShingle Natural vibrations of anisotropic plates with an internal curve with hinges
Quintana, María Virginia
UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
title_short Natural vibrations of anisotropic plates with an internal curve with hinges
title_full Natural vibrations of anisotropic plates with an internal curve with hinges
title_fullStr Natural vibrations of anisotropic plates with an internal curve with hinges
title_full_unstemmed Natural vibrations of anisotropic plates with an internal curve with hinges
title_sort Natural vibrations of anisotropic plates with an internal curve with hinges
dc.creator.none.fl_str_mv Quintana, María Virginia
Raffo, Javier Leandro
author Quintana, María Virginia
author_facet Quintana, María Virginia
Raffo, Javier Leandro
author_role author
author2 Raffo, Javier Leandro
author2_role author
dc.subject.none.fl_str_mv UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
topic UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
dc.description.none.fl_txt_mv The objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that requires the continuity of the transverse displacements. It is well known that the difficulty in choosing admissible functions has been the most significant drawback of the Ritz method. To relax the admissibility requirement the Ritz method, with polynomials as coordinate functions, in conjunction with the Penalty Function method is proposed. This study is focus on different problems related the curved hinge and a natural parametrization is used to treat the mentioned curves. The accuracy of the formulation is ensured by comparing some numerical examples with those available in the literature. Cases not previously treated are particularly analyzed. Frequencies parameters and several sets of vibration mode shapes are included, to provide a better understanding of the dynamical behavior of these plates.
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Fil: Quintana, María Virginia. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Peer Reviewed
description The objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that requires the continuity of the transverse displacements. It is well known that the difficulty in choosing admissible functions has been the most significant drawback of the Ritz method. To relax the admissibility requirement the Ritz method, with polynomials as coordinate functions, in conjunction with the Penalty Function method is proposed. This study is focus on different problems related the curved hinge and a natural parametrization is used to treat the mentioned curves. The accuracy of the formulation is ensured by comparing some numerical examples with those available in the literature. Cases not previously treated are particularly analyzed. Frequencies parameters and several sets of vibration mode shapes are included, to provide a better understanding of the dynamical behavior of these plates.
publishDate 2017
dc.date.none.fl_str_mv 2017-11
2020-09-18T19:14:38Z
2020-09-18T19:14:38Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12272/4554
10.1016/j.ijmecsci.2016.11.031
url http://hdl.handle.net/20.500.12272/4554
identifier_str_mv 10.1016/j.ijmecsci.2016.11.031
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/abs/pii/S0020740316309602?via%3Dihub
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-18T19:14:38Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier Leandro
Atribución–No Comercial–Compartir Igual (by-nc-sa)
eu_rights_str_mv openAccess
rights_invalid_str_mv 2020-09-18T19:14:38Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier Leandro
Atribución–No Comercial–Compartir Igual (by-nc-sa)
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv Raffo, J L y Quintana, M V, “Natural Vibrations of Anisotropic Plates with an Internal Curve with Hinges”, International Journal of Mechanical Sciences, ISSN 0020-7403, Vol 120, 301-310
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
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score 13.265058

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