Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading

Autores
Bambill, Diana Virginia; Rossit, Carlos Adolfo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution. In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration. They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate. The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem. In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed. It also analyzes their impact for the case of vibration control. The forces? magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained. The critical values of the forces which cause instability are also obtained. Due to the analytical complexity of the problem under study, the Ritz method is employed. Some numerical examples are presented.
Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Materia
VIBRATIONS
INSTABILITY PHENOME
PLATES
IN-PLANE LOADING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10107
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/10107
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane LoadingBambill, Diana VirginiaRossit, Carlos AdolfoVIBRATIONSINSTABILITY PHENOMEPLATESIN-PLANE LOADINGhttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution. In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration. They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate. The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem. In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed. It also analyzes their impact for the case of vibration control. The forces? magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained. The critical values of the forces which cause instability are also obtained. Due to the analytical complexity of the problem under study, the Ritz method is employed. Some numerical examples are presented.Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaHindawi Publishing Corporation2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10107Bambill, Diana Virginia; Rossit, Carlos Adolfo; Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading; Hindawi Publishing Corporation; Journal of Engineering; 2013; 1-2013; 1-72314-4912enginfo:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/je/2013/937596/info:eu-repo/semantics/altIdentifier/doi/10.1155/2013/937596info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:46:34Zoai:ri.conicet.gov.ar:11336/10107instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:46:35.031CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
title Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
spellingShingle Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
Bambill, Diana Virginia
VIBRATIONS
INSTABILITY PHENOME
PLATES
IN-PLANE LOADING
title_short Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
title_full Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
title_fullStr Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
title_full_unstemmed Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
title_sort Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
dc.creator.none.fl_str_mv Bambill, Diana Virginia
Rossit, Carlos Adolfo
author Bambill, Diana Virginia
author_facet Bambill, Diana Virginia
Rossit, Carlos Adolfo
author_role author
author2 Rossit, Carlos Adolfo
author2_role author
dc.subject.none.fl_str_mv VIBRATIONS
INSTABILITY PHENOME
PLATES
IN-PLANE LOADING
topic VIBRATIONS
INSTABILITY PHENOME
PLATES
IN-PLANE LOADING
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution. In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration. They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate. The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem. In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed. It also analyzes their impact for the case of vibration control. The forces? magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained. The critical values of the forces which cause instability are also obtained. Due to the analytical complexity of the problem under study, the Ritz method is employed. Some numerical examples are presented.
Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
description As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution. In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration. They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate. The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem. In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed. It also analyzes their impact for the case of vibration control. The forces? magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained. The critical values of the forces which cause instability are also obtained. Due to the analytical complexity of the problem under study, the Ritz method is employed. Some numerical examples are presented.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/11336/10107
Bambill, Diana Virginia; Rossit, Carlos Adolfo; Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading; Hindawi Publishing Corporation; Journal of Engineering; 2013; 1-2013; 1-7
2314-4912
url http://hdl.handle.net/11336/10107
identifier_str_mv Bambill, Diana Virginia; Rossit, Carlos Adolfo; Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading; Hindawi Publishing Corporation; Journal of Engineering; 2013; 1-2013; 1-7
2314-4912
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/je/2013/937596/
info:eu-repo/semantics/altIdentifier/doi/10.1155/2013/937596
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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