Natural frequencies of thin rectangular plates with partial intermediate supports

Autores
Escalante, Mario Raúl; Rosales, Marta Beatriz; Filipich, Carlos Pedro
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the analysis of a wide range of cases that include intermediate supports of different kinds: simple and multiple, straight and curved, complete (the ends coincide with the plate edges) and partial (at least one of the ends is not coincident with the plate edges). In the case of curved linear supports, the curve can be open or closed. The generalized solution is obtained using the Whole Element Method. A continuous and a discrete model of equidistant points are studied both for intermediate supports and clamped edges. In all cases, both a systematic approach to the solution and the theoretical basis, which ensures the arbitrary precision of the results, should be emphasized. In order to illustrate the accuracy and efficiency of the method described, numerical results are presented for several problems and comparison is made with previously published results in some cases and in some others with the Finite Element Method. These numerical results may be of interest to design engineers and researchers who conduct vibration studies.
Fil: Escalante, Mario Raúl. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur; Argentina
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; Argentina
Materia
natural frequencies
arbitrary precision
intermediate supports
plates
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:11336/71933
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/71933
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Natural frequencies of thin rectangular plates with partial intermediate supportsEscalante, Mario RaúlRosales, Marta BeatrizFilipich, Carlos Pedronatural frequenciesarbitrary precisionintermediate supportsplateshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the analysis of a wide range of cases that include intermediate supports of different kinds: simple and multiple, straight and curved, complete (the ends coincide with the plate edges) and partial (at least one of the ends is not coincident with the plate edges). In the case of curved linear supports, the curve can be open or closed. The generalized solution is obtained using the Whole Element Method. A continuous and a discrete model of equidistant points are studied both for intermediate supports and clamped edges. In all cases, both a systematic approach to the solution and the theoretical basis, which ensures the arbitrary precision of the results, should be emphasized. In order to illustrate the accuracy and efficiency of the method described, numerical results are presented for several problems and comparison is made with previously published results in some cases and in some others with the Finite Element Method. These numerical results may be of interest to design engineers and researchers who conduct vibration studies.Fil: Escalante, Mario Raúl. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur; ArgentinaFil: Filipich, Carlos Pedro. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; ArgentinaPlapiqui2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71933Escalante, Mario Raúl; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural frequencies of thin rectangular plates with partial intermediate supports; Plapiqui; Latin American Applied Research; 34; 4; 12-2004; 217-2240327-07931851-8796CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://ref.scielo.org/zf8swzinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:08:52Zoai:ri.conicet.gov.ar:11336/71933instacron: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 10:08:52.921CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Natural frequencies of thin rectangular plates with partial intermediate supports
title Natural frequencies of thin rectangular plates with partial intermediate supports
spellingShingle Natural frequencies of thin rectangular plates with partial intermediate supports
Escalante, Mario Raúl
natural frequencies
arbitrary precision
intermediate supports
plates
title_short Natural frequencies of thin rectangular plates with partial intermediate supports
title_full Natural frequencies of thin rectangular plates with partial intermediate supports
title_fullStr Natural frequencies of thin rectangular plates with partial intermediate supports
title_full_unstemmed Natural frequencies of thin rectangular plates with partial intermediate supports
title_sort Natural frequencies of thin rectangular plates with partial intermediate supports
dc.creator.none.fl_str_mv Escalante, Mario Raúl
Rosales, Marta Beatriz
Filipich, Carlos Pedro
author Escalante, Mario Raúl
author_facet Escalante, Mario Raúl
Rosales, Marta Beatriz
Filipich, Carlos Pedro
author_role author
author2 Rosales, Marta Beatriz
Filipich, Carlos Pedro
author2_role author
author
dc.subject.none.fl_str_mv natural frequencies
arbitrary precision
intermediate supports
plates
topic natural frequencies
arbitrary precision
intermediate supports
plates
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the analysis of a wide range of cases that include intermediate supports of different kinds: simple and multiple, straight and curved, complete (the ends coincide with the plate edges) and partial (at least one of the ends is not coincident with the plate edges). In the case of curved linear supports, the curve can be open or closed. The generalized solution is obtained using the Whole Element Method. A continuous and a discrete model of equidistant points are studied both for intermediate supports and clamped edges. In all cases, both a systematic approach to the solution and the theoretical basis, which ensures the arbitrary precision of the results, should be emphasized. In order to illustrate the accuracy and efficiency of the method described, numerical results are presented for several problems and comparison is made with previously published results in some cases and in some others with the Finite Element Method. These numerical results may be of interest to design engineers and researchers who conduct vibration studies.
Fil: Escalante, Mario Raúl. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur; Argentina
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur; Argentina. Universidad Tecnológica Nacional; Argentina
description In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the analysis of a wide range of cases that include intermediate supports of different kinds: simple and multiple, straight and curved, complete (the ends coincide with the plate edges) and partial (at least one of the ends is not coincident with the plate edges). In the case of curved linear supports, the curve can be open or closed. The generalized solution is obtained using the Whole Element Method. A continuous and a discrete model of equidistant points are studied both for intermediate supports and clamped edges. In all cases, both a systematic approach to the solution and the theoretical basis, which ensures the arbitrary precision of the results, should be emphasized. In order to illustrate the accuracy and efficiency of the method described, numerical results are presented for several problems and comparison is made with previously published results in some cases and in some others with the Finite Element Method. These numerical results may be of interest to design engineers and researchers who conduct vibration studies.
publishDate 2004
dc.date.none.fl_str_mv 2004-12
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/11336/71933
Escalante, Mario Raúl; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural frequencies of thin rectangular plates with partial intermediate supports; Plapiqui; Latin American Applied Research; 34; 4; 12-2004; 217-224
0327-0793
1851-8796
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71933
identifier_str_mv Escalante, Mario Raúl; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural frequencies of thin rectangular plates with partial intermediate supports; Plapiqui; Latin American Applied Research; 34; 4; 12-2004; 217-224
0327-0793
1851-8796
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://ref.scielo.org/zf8swz
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
application/pdf
dc.publisher.none.fl_str_mv Plapiqui
publisher.none.fl_str_mv Plapiqui
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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