Some observations on the application of the Rayleigh-Ritz method

Autores
Grossi, Ricardo Oscar; Albarracín, Carlos Marcelo
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with the applicability of the Rayleigh-Ritz method for the determination of frequency coefficients of beams and plates with elastically restrained edges. Natural frequencies of beams elastically restrained against rotation and translation at both ends and of rectangular isotropic plates with elastic edge restraints are studied by using the Rayleigh-Ritz method along with orthogonal polynomials as co-ordinate functions. It is shown that the approximate satisfaction of boundary conditions introduces additional constraints into the formulation that bring unexpected values in the results. On the other hand, it is shown that there are defects in the approximations when the natural boundary conditions in beams are taken into account. The adequate procedure for constructing the co-ordinate functions to avoid numerical errors is presented. © 2001 Elsevier Science Ltd.
Fil: Grossi, Ricardo Oscar. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta; Argentina
Fil: Albarracín, Carlos Marcelo. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; Argentina
Materia
BEAMS
PLATES
VARIATIONAL METHOD
VIBRATIONS
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:11336/128852
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Some observations on the application of the Rayleigh-Ritz methodGrossi, Ricardo OscarAlbarracín, Carlos MarceloBEAMSPLATESVARIATIONAL METHODVIBRATIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper deals with the applicability of the Rayleigh-Ritz method for the determination of frequency coefficients of beams and plates with elastically restrained edges. Natural frequencies of beams elastically restrained against rotation and translation at both ends and of rectangular isotropic plates with elastic edge restraints are studied by using the Rayleigh-Ritz method along with orthogonal polynomials as co-ordinate functions. It is shown that the approximate satisfaction of boundary conditions introduces additional constraints into the formulation that bring unexpected values in the results. On the other hand, it is shown that there are defects in the approximations when the natural boundary conditions in beams are taken into account. The adequate procedure for constructing the co-ordinate functions to avoid numerical errors is presented. © 2001 Elsevier Science Ltd.Fil: Grossi, Ricardo Oscar. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta; ArgentinaFil: Albarracín, Carlos Marcelo. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; ArgentinaElsevier2001-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/128852Grossi, Ricardo Oscar; Albarracín, Carlos Marcelo; Some observations on the application of the Rayleigh-Ritz method; Elsevier; Applied Acoustics; 62; 10; 10-2001; 1171-11820003-682XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0003-682X(00)00097-9info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003682X00000979info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:22:46Zoai:ri.conicet.gov.ar:11336/128852instacron: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:34982025-10-22 11:22:46.583CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Some observations on the application of the Rayleigh-Ritz method
title Some observations on the application of the Rayleigh-Ritz method
spellingShingle Some observations on the application of the Rayleigh-Ritz method
Grossi, Ricardo Oscar
BEAMS
PLATES
VARIATIONAL METHOD
VIBRATIONS
title_short Some observations on the application of the Rayleigh-Ritz method
title_full Some observations on the application of the Rayleigh-Ritz method
title_fullStr Some observations on the application of the Rayleigh-Ritz method
title_full_unstemmed Some observations on the application of the Rayleigh-Ritz method
title_sort Some observations on the application of the Rayleigh-Ritz method
dc.creator.none.fl_str_mv Grossi, Ricardo Oscar
Albarracín, Carlos Marcelo
author Grossi, Ricardo Oscar
author_facet Grossi, Ricardo Oscar
Albarracín, Carlos Marcelo
author_role author
author2 Albarracín, Carlos Marcelo
author2_role author
dc.subject.none.fl_str_mv BEAMS
PLATES
VARIATIONAL METHOD
VIBRATIONS
topic BEAMS
PLATES
VARIATIONAL METHOD
VIBRATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper deals with the applicability of the Rayleigh-Ritz method for the determination of frequency coefficients of beams and plates with elastically restrained edges. Natural frequencies of beams elastically restrained against rotation and translation at both ends and of rectangular isotropic plates with elastic edge restraints are studied by using the Rayleigh-Ritz method along with orthogonal polynomials as co-ordinate functions. It is shown that the approximate satisfaction of boundary conditions introduces additional constraints into the formulation that bring unexpected values in the results. On the other hand, it is shown that there are defects in the approximations when the natural boundary conditions in beams are taken into account. The adequate procedure for constructing the co-ordinate functions to avoid numerical errors is presented. © 2001 Elsevier Science Ltd.
Fil: Grossi, Ricardo Oscar. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta; Argentina
Fil: Albarracín, Carlos Marcelo. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Ingeniería Civil y Medio Ambiente; Argentina
description This paper deals with the applicability of the Rayleigh-Ritz method for the determination of frequency coefficients of beams and plates with elastically restrained edges. Natural frequencies of beams elastically restrained against rotation and translation at both ends and of rectangular isotropic plates with elastic edge restraints are studied by using the Rayleigh-Ritz method along with orthogonal polynomials as co-ordinate functions. It is shown that the approximate satisfaction of boundary conditions introduces additional constraints into the formulation that bring unexpected values in the results. On the other hand, it is shown that there are defects in the approximations when the natural boundary conditions in beams are taken into account. The adequate procedure for constructing the co-ordinate functions to avoid numerical errors is presented. © 2001 Elsevier Science Ltd.
publishDate 2001
dc.date.none.fl_str_mv 2001-10
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/11336/128852
Grossi, Ricardo Oscar; Albarracín, Carlos Marcelo; Some observations on the application of the Rayleigh-Ritz method; Elsevier; Applied Acoustics; 62; 10; 10-2001; 1171-1182
0003-682X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/128852
identifier_str_mv Grossi, Ricardo Oscar; Albarracín, Carlos Marcelo; Some observations on the application of the Rayleigh-Ritz method; Elsevier; Applied Acoustics; 62; 10; 10-2001; 1171-1182
0003-682X
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/S0003-682X(00)00097-9
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003682X00000979
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 12.982451

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