Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity

Autores
Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In his study, Wang proved that the fundamental frequency coefficient of a circular annular membrane fixed at the outer radius ´b´ and at the inner radius ´a´, is the same eigenvalue as in the case of a solid circular membrane, when the inner radius of the annular membrane approaches zero. Related studies showed that the same rather unexpected conclusions holds true in the case of higher modes of vibrations and also in the case of composite membranes. The present work demonstrates that from a mathematical viewpoint, the same property holds when solving a Helmholtz differential-type system in the case of composite spherical domain when a/c approaches zero.
Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Materia
Radially Symmetric Modes
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:11336/35315
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavityRossit, Carlos AdolfoLaura, Patricio Adolfo AntonioRadially Symmetric Modeshttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2In his study, Wang proved that the fundamental frequency coefficient of a circular annular membrane fixed at the outer radius ´b´ and at the inner radius ´a´, is the same eigenvalue as in the case of a solid circular membrane, when the inner radius of the annular membrane approaches zero. Related studies showed that the same rather unexpected conclusions holds true in the case of higher modes of vibrations and also in the case of composite membranes. The present work demonstrates that from a mathematical viewpoint, the same property holds when solving a Helmholtz differential-type system in the case of composite spherical domain when a/c approaches zero.Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaElsevier2000-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/35315Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity; Elsevier; Journal of Sound and Vibration; 229; 3; 6-2000; 740-7420022-460XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X99923702info:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.1999.2370info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-04-08T11:55:30Zoai:ri.conicet.gov.ar:11336/35315instacron: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:34982026-04-08 11:55:30.666CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
title Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
spellingShingle Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
Rossit, Carlos Adolfo
Radially Symmetric Modes
title_short Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
title_full Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
title_fullStr Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
title_full_unstemmed Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
title_sort Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity
dc.creator.none.fl_str_mv Rossit, Carlos Adolfo
Laura, Patricio Adolfo Antonio
author Rossit, Carlos Adolfo
author_facet Rossit, Carlos Adolfo
Laura, Patricio Adolfo Antonio
author_role author
author2 Laura, Patricio Adolfo Antonio
author2_role author
dc.subject.none.fl_str_mv Radially Symmetric Modes
topic Radially Symmetric Modes
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In his study, Wang proved that the fundamental frequency coefficient of a circular annular membrane fixed at the outer radius ´b´ and at the inner radius ´a´, is the same eigenvalue as in the case of a solid circular membrane, when the inner radius of the annular membrane approaches zero. Related studies showed that the same rather unexpected conclusions holds true in the case of higher modes of vibrations and also in the case of composite membranes. The present work demonstrates that from a mathematical viewpoint, the same property holds when solving a Helmholtz differential-type system in the case of composite spherical domain when a/c approaches zero.
Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
description In his study, Wang proved that the fundamental frequency coefficient of a circular annular membrane fixed at the outer radius ´b´ and at the inner radius ´a´, is the same eigenvalue as in the case of a solid circular membrane, when the inner radius of the annular membrane approaches zero. Related studies showed that the same rather unexpected conclusions holds true in the case of higher modes of vibrations and also in the case of composite membranes. The present work demonstrates that from a mathematical viewpoint, the same property holds when solving a Helmholtz differential-type system in the case of composite spherical domain when a/c approaches zero.
publishDate 2000
dc.date.none.fl_str_mv 2000-06
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/11336/35315
Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity; Elsevier; Journal of Sound and Vibration; 229; 3; 6-2000; 740-742
0022-460X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/35315
identifier_str_mv Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Eigenvalues of radially symmetric modes in composite spherical domains with a very small concentric cavity; Elsevier; Journal of Sound and Vibration; 229; 3; 6-2000; 740-742
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/url/https://www.sciencedirect.com/science/article/pii/S0022460X99923702
info:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.1999.2370
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 Elsevier
publisher.none.fl_str_mv Elsevier
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 13.018236

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