Arbitrary precision frequencies of a free rectangular thin plate

Autores
Filipich, Carlos Pedro; Rosales, Marta Beatriz
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A variational method developed by the authors and named whole element method (WEM) is used to find the arbitrary precision frequencies of a rectangular thin plate (within the Germain}Lagrange theory) having its four borders free of constraint. WEM consists is proposing an adequate functional and a sequence representing the plate transversal displacement w(x, y). Such a sequence is made of a linear combination of functions belonging to a complete set in L2. The sequence, and not each co-ordinate function, is required to satisfy the essential or geometric conditions. The sequence generation is systematic and no analysis of the classical natural modes of the plate is needed. In particular, trigonometric functions which a priori belong to a complete set in the domain are used in the present analysis. The solving equations involving very simple sums arise from the minimization of the functional. WEM is based on theorems which show the ultimate exactness of the eigenvalues and the uniform convergence of the essential functions of the problem. To the authors knowledge this problem has no classical solution.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rosales, Marta Beatriz. Universidad Tecnológica Nacional; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Plates
Free Boundaries
Direct Method
Natural Frequencies
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:11336/35312
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/35312
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Arbitrary precision frequencies of a free rectangular thin plateFilipich, Carlos PedroRosales, Marta BeatrizPlatesFree BoundariesDirect MethodNatural Frequencieshttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2A variational method developed by the authors and named whole element method (WEM) is used to find the arbitrary precision frequencies of a rectangular thin plate (within the Germain}Lagrange theory) having its four borders free of constraint. WEM consists is proposing an adequate functional and a sequence representing the plate transversal displacement w(x, y). Such a sequence is made of a linear combination of functions belonging to a complete set in L2. The sequence, and not each co-ordinate function, is required to satisfy the essential or geometric conditions. The sequence generation is systematic and no analysis of the classical natural modes of the plate is needed. In particular, trigonometric functions which a priori belong to a complete set in the domain are used in the present analysis. The solving equations involving very simple sums arise from the minimization of the functional. WEM is based on theorems which show the ultimate exactness of the eigenvalues and the uniform convergence of the essential functions of the problem. To the authors knowledge this problem has no classical solution.Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Rosales, Marta Beatriz. Universidad Tecnológica Nacional; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier2000-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/35312Filipich, Carlos Pedro; Rosales, Marta Beatriz; Arbitrary precision frequencies of a free rectangular thin plate; Elsevier; Journal of Sound and Vibration; 230; 3; 2-2000; 521-5390022-460XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X99926299info:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.1999.2629info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:25:28Zoai:ri.conicet.gov.ar:11336/35312instacron: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:34982025-10-15 15:25:28.963CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Arbitrary precision frequencies of a free rectangular thin plate
title Arbitrary precision frequencies of a free rectangular thin plate
spellingShingle Arbitrary precision frequencies of a free rectangular thin plate
Filipich, Carlos Pedro
Plates
Free Boundaries
Direct Method
Natural Frequencies
title_short Arbitrary precision frequencies of a free rectangular thin plate
title_full Arbitrary precision frequencies of a free rectangular thin plate
title_fullStr Arbitrary precision frequencies of a free rectangular thin plate
title_full_unstemmed Arbitrary precision frequencies of a free rectangular thin plate
title_sort Arbitrary precision frequencies of a free rectangular thin plate
dc.creator.none.fl_str_mv Filipich, Carlos Pedro
Rosales, Marta Beatriz
author Filipich, Carlos Pedro
author_facet Filipich, Carlos Pedro
Rosales, Marta Beatriz
author_role author
author2 Rosales, Marta Beatriz
author2_role author
dc.subject.none.fl_str_mv Plates
Free Boundaries
Direct Method
Natural Frequencies
topic Plates
Free Boundaries
Direct Method
Natural Frequencies
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A variational method developed by the authors and named whole element method (WEM) is used to find the arbitrary precision frequencies of a rectangular thin plate (within the Germain}Lagrange theory) having its four borders free of constraint. WEM consists is proposing an adequate functional and a sequence representing the plate transversal displacement w(x, y). Such a sequence is made of a linear combination of functions belonging to a complete set in L2. The sequence, and not each co-ordinate function, is required to satisfy the essential or geometric conditions. The sequence generation is systematic and no analysis of the classical natural modes of the plate is needed. In particular, trigonometric functions which a priori belong to a complete set in the domain are used in the present analysis. The solving equations involving very simple sums arise from the minimization of the functional. WEM is based on theorems which show the ultimate exactness of the eigenvalues and the uniform convergence of the essential functions of the problem. To the authors knowledge this problem has no classical solution.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rosales, Marta Beatriz. Universidad Tecnológica Nacional; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description A variational method developed by the authors and named whole element method (WEM) is used to find the arbitrary precision frequencies of a rectangular thin plate (within the Germain}Lagrange theory) having its four borders free of constraint. WEM consists is proposing an adequate functional and a sequence representing the plate transversal displacement w(x, y). Such a sequence is made of a linear combination of functions belonging to a complete set in L2. The sequence, and not each co-ordinate function, is required to satisfy the essential or geometric conditions. The sequence generation is systematic and no analysis of the classical natural modes of the plate is needed. In particular, trigonometric functions which a priori belong to a complete set in the domain are used in the present analysis. The solving equations involving very simple sums arise from the minimization of the functional. WEM is based on theorems which show the ultimate exactness of the eigenvalues and the uniform convergence of the essential functions of the problem. To the authors knowledge this problem has no classical solution.
publishDate 2000
dc.date.none.fl_str_mv 2000-02
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/11336/35312
Filipich, Carlos Pedro; Rosales, Marta Beatriz; Arbitrary precision frequencies of a free rectangular thin plate; Elsevier; Journal of Sound and Vibration; 230; 3; 2-2000; 521-539
0022-460X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/35312
identifier_str_mv Filipich, Carlos Pedro; Rosales, Marta Beatriz; Arbitrary precision frequencies of a free rectangular thin plate; Elsevier; Journal of Sound and Vibration; 230; 3; 2-2000; 521-539
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/S0022460X99926299
info:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.1999.2629
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
_version_ 1846083399105642496
score 12.891075

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