Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge

Autores
Quintana, Maria Virginia; Raffo, Javier Leandro
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with the free transverse vibration of a Timoshenko beam with an arbitrarily located internal elastic hinge. The ends of the beam were elastically restrained against both rotation and translation. The results are obtained with the exact solution and with an analytical method that consists of a combination of the Ritz and the Lagrange multiplier methods. Both were used to determine free vibration characteristics of the employed beam. In the combined method, trial functions denoting the transverse deflections and the normal rotations of the cross section of the beam are expressed in polynomial forms. In order to verify the accuracy of the developed mathematical model, cases available in the literature have been considered. Results have also been presented for different end and restraint conditions (in the intermediate point) of the beam. In addition, a comparison with a crack model is also provided.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; Argentina
Materia
Vibrations
Timoshenko Beams
Elastically Restrained
Hinge
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:11336/4740
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/4740
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Eigenfrequencies of generally restrained Timoshenko beams with an internal hingeQuintana, Maria VirginiaRaffo, Javier LeandroVibrationsTimoshenko BeamsElastically RestrainedHingehttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2This paper deals with the free transverse vibration of a Timoshenko beam with an arbitrarily located internal elastic hinge. The ends of the beam were elastically restrained against both rotation and translation. The results are obtained with the exact solution and with an analytical method that consists of a combination of the Ritz and the Lagrange multiplier methods. Both were used to determine free vibration characteristics of the employed beam. In the combined method, trial functions denoting the transverse deflections and the normal rotations of the cross section of the beam are expressed in polynomial forms. In order to verify the accuracy of the developed mathematical model, cases available in the literature have been considered. Results have also been presented for different end and restraint conditions (in the intermediate point) of the beam. In addition, a comparison with a crack model is also provided.Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); ArgentinaFil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; ArgentinaNED University of Engineering & Technology2014-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/4740Quintana, Maria Virginia; Raffo, Javier Leandro; Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge; NED University of Engineering & Technology; NED University Journal of Research Structural Mechanics; XI; 3; 8-2014; 1-181023-3873enginfo:eu-repo/semantics/altIdentifier/url/http://www.neduet.edu.pk/NED-Journal/2014vol3/14vol3paper1.htmlinfo:eu-repo/semantics/altIdentifier/issn/1023-3873info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:38:08Zoai:ri.conicet.gov.ar:11336/4740instacron: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 10:38:08.363CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
title Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
spellingShingle Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
Quintana, Maria Virginia
Vibrations
Timoshenko Beams
Elastically Restrained
Hinge
title_short Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
title_full Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
title_fullStr Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
title_full_unstemmed Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
title_sort Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge
dc.creator.none.fl_str_mv Quintana, Maria Virginia
Raffo, Javier Leandro
author Quintana, Maria Virginia
author_facet Quintana, Maria Virginia
Raffo, Javier Leandro
author_role author
author2 Raffo, Javier Leandro
author2_role author
dc.subject.none.fl_str_mv Vibrations
Timoshenko Beams
Elastically Restrained
Hinge
topic Vibrations
Timoshenko Beams
Elastically Restrained
Hinge
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper deals with the free transverse vibration of a Timoshenko beam with an arbitrarily located internal elastic hinge. The ends of the beam were elastically restrained against both rotation and translation. The results are obtained with the exact solution and with an analytical method that consists of a combination of the Ritz and the Lagrange multiplier methods. Both were used to determine free vibration characteristics of the employed beam. In the combined method, trial functions denoting the transverse deflections and the normal rotations of the cross section of the beam are expressed in polynomial forms. In order to verify the accuracy of the developed mathematical model, cases available in the literature have been considered. Results have also been presented for different end and restraint conditions (in the intermediate point) of the beam. In addition, a comparison with a crack model is also provided.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; Argentina
description This paper deals with the free transverse vibration of a Timoshenko beam with an arbitrarily located internal elastic hinge. The ends of the beam were elastically restrained against both rotation and translation. The results are obtained with the exact solution and with an analytical method that consists of a combination of the Ritz and the Lagrange multiplier methods. Both were used to determine free vibration characteristics of the employed beam. In the combined method, trial functions denoting the transverse deflections and the normal rotations of the cross section of the beam are expressed in polynomial forms. In order to verify the accuracy of the developed mathematical model, cases available in the literature have been considered. Results have also been presented for different end and restraint conditions (in the intermediate point) of the beam. In addition, a comparison with a crack model is also provided.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
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/11336/4740
Quintana, Maria Virginia; Raffo, Javier Leandro; Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge; NED University of Engineering & Technology; NED University Journal of Research Structural Mechanics; XI; 3; 8-2014; 1-18
1023-3873
url http://hdl.handle.net/11336/4740
identifier_str_mv Quintana, Maria Virginia; Raffo, Javier Leandro; Eigenfrequencies of generally restrained Timoshenko beams with an internal hinge; NED University of Engineering & Technology; NED University Journal of Research Structural Mechanics; XI; 3; 8-2014; 1-18
1023-3873
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.neduet.edu.pk/NED-Journal/2014vol3/14vol3paper1.html
info:eu-repo/semantics/altIdentifier/issn/1023-3873
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
application/pdf
dc.publisher.none.fl_str_mv NED University of Engineering & Technology
publisher.none.fl_str_mv NED University of Engineering & Technology
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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