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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/128852
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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 Técnicas2025-09-29T09:53:23Zoai: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:34982025-09-29 09:53:23.619CONICET 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 |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |