Eigenfrequencies of generally restrained Timoshenko beams

Autores
Quintana, Maria Virginia; Grossi, Ricardo Oscar
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This article deals with the free transverse vibration of a Timoshenko beam with intermediate elastic constraints and ends elastically restrained against rotation and translation. A combination of the Ritz method and the Lagrange multiplier method and also the standard Ritz method are used to examine the free vibration characteristics of the mentioned beam. 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 obtain an indication of the accuracy of the developed mathematical models, some cases available in the literature have been considered. New results are presented for different end conditions and intermediate elastic restraints.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Materia
Vibrations
Timoshenko Beams
Elastically Restrained
Lagrange Multipliers
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:11336/84902
Acceder
id CONICETDig_68b603a4914056fdf0b3b9f7a33a23d0
oai_identifier_str oai:ri.conicet.gov.ar:11336/84902
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Eigenfrequencies of generally restrained Timoshenko beamsQuintana, Maria VirginiaGrossi, Ricardo OscarVibrationsTimoshenko BeamsElastically RestrainedLagrange Multipliershttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2This article deals with the free transverse vibration of a Timoshenko beam with intermediate elastic constraints and ends elastically restrained against rotation and translation. A combination of the Ritz method and the Lagrange multiplier method and also the standard Ritz method are used to examine the free vibration characteristics of the mentioned beam. 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 obtain an indication of the accuracy of the developed mathematical models, some cases available in the literature have been considered. New results are presented for different end conditions and intermediate elastic restraints.Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; ArgentinaFil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; ArgentinaSAGE Publications2010-06info: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/11336/84902Quintana, Maria Virginia; Grossi, Ricardo Oscar; Eigenfrequencies of generally restrained Timoshenko beams; SAGE Publications; Proceedings Of The Institution Of Mechanical Engineers Part K-journal Of Multi-body Dynamics; 224; 1; 6-2010; 117-1251464-4193CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1243/14644193JMBD189info:eu-repo/semantics/altIdentifier/url/https://journals.sagepub.com/doi/10.1243/14644193JMBD189info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:02:39Zoai:ri.conicet.gov.ar:11336/84902instacron: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:34982025-09-10 13:02:39.605CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Eigenfrequencies of generally restrained Timoshenko beams
title Eigenfrequencies of generally restrained Timoshenko beams
spellingShingle Eigenfrequencies of generally restrained Timoshenko beams
Quintana, Maria Virginia
Vibrations
Timoshenko Beams
Elastically Restrained
Lagrange Multipliers
title_short Eigenfrequencies of generally restrained Timoshenko beams
title_full Eigenfrequencies of generally restrained Timoshenko beams
title_fullStr Eigenfrequencies of generally restrained Timoshenko beams
title_full_unstemmed Eigenfrequencies of generally restrained Timoshenko beams
title_sort Eigenfrequencies of generally restrained Timoshenko beams
dc.creator.none.fl_str_mv Quintana, Maria Virginia
Grossi, Ricardo Oscar
author Quintana, Maria Virginia
author_facet Quintana, Maria Virginia
Grossi, Ricardo Oscar
author_role author
author2 Grossi, Ricardo Oscar
author2_role author
dc.subject.none.fl_str_mv Vibrations
Timoshenko Beams
Elastically Restrained
Lagrange Multipliers
topic Vibrations
Timoshenko Beams
Elastically Restrained
Lagrange Multipliers
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 article deals with the free transverse vibration of a Timoshenko beam with intermediate elastic constraints and ends elastically restrained against rotation and translation. A combination of the Ritz method and the Lagrange multiplier method and also the standard Ritz method are used to examine the free vibration characteristics of the mentioned beam. 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 obtain an indication of the accuracy of the developed mathematical models, some cases available in the literature have been considered. New results are presented for different end conditions and intermediate elastic restraints.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
description This article deals with the free transverse vibration of a Timoshenko beam with intermediate elastic constraints and ends elastically restrained against rotation and translation. A combination of the Ritz method and the Lagrange multiplier method and also the standard Ritz method are used to examine the free vibration characteristics of the mentioned beam. 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 obtain an indication of the accuracy of the developed mathematical models, some cases available in the literature have been considered. New results are presented for different end conditions and intermediate elastic restraints.
publishDate 2010
dc.date.none.fl_str_mv 2010-06
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/11336/84902
Quintana, Maria Virginia; Grossi, Ricardo Oscar; Eigenfrequencies of generally restrained Timoshenko beams; SAGE Publications; Proceedings Of The Institution Of Mechanical Engineers Part K-journal Of Multi-body Dynamics; 224; 1; 6-2010; 117-125
1464-4193
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84902
identifier_str_mv Quintana, Maria Virginia; Grossi, Ricardo Oscar; Eigenfrequencies of generally restrained Timoshenko beams; SAGE Publications; Proceedings Of The Institution Of Mechanical Engineers Part K-journal Of Multi-body Dynamics; 224; 1; 6-2010; 117-125
1464-4193
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1243/14644193JMBD189
info:eu-repo/semantics/altIdentifier/url/https://journals.sagepub.com/doi/10.1243/14644193JMBD189
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 SAGE Publications
publisher.none.fl_str_mv SAGE Publications
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_ 1842980031195774976
score 12.993085

Publicaciones similares