Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position

Autores
Maiz, Santiago; Rossit, Carlos Adolfo; Bambill, Diana Virginia; Susca, Antonio
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Free vibrations of clamped, thin elliptical plates carrying a concentrated mass at an arbitrary position are studied in order to analyze the mass effect on the natural frequencies and mode shapes of the plate. A variational approach, the well-known Ritz method, is used, where the displacement amplitude is approximated by polynomial expressions in the Cartesian coordinates. The present proposal exhibits excellent agreement with particular cases of the problem available in the literature and also with an independent solution obtained by means of the finite element method. Some new results are presented for the natural frequencies and modes of clamped elliptical plates with a concentrated mass.
Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Susca, Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Elliptical Plates
Vibration
Attached Masses
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/74757
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary positionMaiz, SantiagoRossit, Carlos AdolfoBambill, Diana VirginiaSusca, AntonioElliptical PlatesVibrationAttached Masseshttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2Free vibrations of clamped, thin elliptical plates carrying a concentrated mass at an arbitrary position are studied in order to analyze the mass effect on the natural frequencies and mode shapes of the plate. A variational approach, the well-known Ritz method, is used, where the displacement amplitude is approximated by polynomial expressions in the Cartesian coordinates. The present proposal exhibits excellent agreement with particular cases of the problem available in the literature and also with an independent solution obtained by means of the finite element method. Some new results are presented for the natural frequencies and modes of clamped elliptical plates with a concentrated mass.Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Susca, Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Ltd - Elsevier Science Ltd2009-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74757Maiz, Santiago; Rossit, Carlos Adolfo; Bambill, Diana Virginia; Susca, Antonio; Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 320; 4-5; 3-2009; 1146-11630022-460XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsv.2008.09.013info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X08007621info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:03Zoai:ri.conicet.gov.ar:11336/74757instacron: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 09:59:03.344CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
title Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
spellingShingle Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
Maiz, Santiago
Elliptical Plates
Vibration
Attached Masses
title_short Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
title_full Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
title_fullStr Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
title_full_unstemmed Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
title_sort Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
dc.creator.none.fl_str_mv Maiz, Santiago
Rossit, Carlos Adolfo
Bambill, Diana Virginia
Susca, Antonio
author Maiz, Santiago
author_facet Maiz, Santiago
Rossit, Carlos Adolfo
Bambill, Diana Virginia
Susca, Antonio
author_role author
author2 Rossit, Carlos Adolfo
Bambill, Diana Virginia
Susca, Antonio
author2_role author
author
author
dc.subject.none.fl_str_mv Elliptical Plates
Vibration
Attached Masses
topic Elliptical Plates
Vibration
Attached Masses
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Free vibrations of clamped, thin elliptical plates carrying a concentrated mass at an arbitrary position are studied in order to analyze the mass effect on the natural frequencies and mode shapes of the plate. A variational approach, the well-known Ritz method, is used, where the displacement amplitude is approximated by polynomial expressions in the Cartesian coordinates. The present proposal exhibits excellent agreement with particular cases of the problem available in the literature and also with an independent solution obtained by means of the finite element method. Some new results are presented for the natural frequencies and modes of clamped elliptical plates with a concentrated mass.
Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Susca, Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Free vibrations of clamped, thin elliptical plates carrying a concentrated mass at an arbitrary position are studied in order to analyze the mass effect on the natural frequencies and mode shapes of the plate. A variational approach, the well-known Ritz method, is used, where the displacement amplitude is approximated by polynomial expressions in the Cartesian coordinates. The present proposal exhibits excellent agreement with particular cases of the problem available in the literature and also with an independent solution obtained by means of the finite element method. Some new results are presented for the natural frequencies and modes of clamped elliptical plates with a concentrated mass.
publishDate 2009
dc.date.none.fl_str_mv 2009-03
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/11336/74757
Maiz, Santiago; Rossit, Carlos Adolfo; Bambill, Diana Virginia; Susca, Antonio; Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 320; 4-5; 3-2009; 1146-1163
0022-460X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74757
identifier_str_mv Maiz, Santiago; Rossit, Carlos Adolfo; Bambill, Diana Virginia; Susca, Antonio; Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 320; 4-5; 3-2009; 1146-1163
0022-460X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsv.2008.09.013
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X08007621
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
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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