Variational approach of Timoshenko beams with internal elastic restraints

Autores
Raffo, Javier; Grossi, Ricardo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
Fuente
Journal of Mechanics Engineering and Automation 3, 491-498. (2013)
Materia
UTN
FRD
Calculus of variations
Timoshenko beams
elastically restrained ends
exact result
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-29T00:42:01Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4560
Acceder
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oai_identifier_str oai:ria.utn.edu.ar:20.500.12272/4560
network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling Variational approach of Timoshenko beams with internal elastic restraintsRaffo, JavierGrossi, RicardoUTNFRDCalculus of variationsTimoshenko beamselastically restrained endsexact resultAn exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.Peer Reviewed2020-09-29T00:42:01Z2020-09-29T00:42:01Z2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfRaffo, J. L. and Grossi, R. O. “Variational approach of Timoshenko beams with internal elastic restraints”, ISSN 2159-5275 (Print), ISSN 2159-5283 (Online), Journal of Mechanics Engineering and Automation, 3, 491-498, 2013. http://www.davidpublishing.org/DownLoad/?id=13898http://hdl.handle.net/20.500.12272/456010.17265/2159-5275/2013.08.003Journal of Mechanics Engineering and Automation 3, 491-498. (2013)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenghttp://www.davidpublisher.org/Article/index?id=3666.htmlinfo:eu-repo/semantics/openAccess2020-09-29T00:42:01Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, JavierAtribución – No Comercial – Compartir Igual (by-nc-sa)2026-09-24T12:47:38Zoai:ria.utn.edu.ar:20.500.12272/4560instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:47:40.156Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Variational approach of Timoshenko beams with internal elastic restraints
title Variational approach of Timoshenko beams with internal elastic restraints
spellingShingle Variational approach of Timoshenko beams with internal elastic restraints
Raffo, Javier
UTN
FRD
Calculus of variations
Timoshenko beams
elastically restrained ends
exact result
title_short Variational approach of Timoshenko beams with internal elastic restraints
title_full Variational approach of Timoshenko beams with internal elastic restraints
title_fullStr Variational approach of Timoshenko beams with internal elastic restraints
title_full_unstemmed Variational approach of Timoshenko beams with internal elastic restraints
title_sort Variational approach of Timoshenko beams with internal elastic restraints
dc.creator.none.fl_str_mv Raffo, Javier
Grossi, Ricardo
author Raffo, Javier
author_facet Raffo, Javier
Grossi, Ricardo
author_role author
author2 Grossi, Ricardo
author2_role author
dc.subject.none.fl_str_mv UTN
FRD
Calculus of variations
Timoshenko beams
elastically restrained ends
exact result
topic UTN
FRD
Calculus of variations
Timoshenko beams
elastically restrained ends
exact result
dc.description.none.fl_txt_mv An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
description An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.
publishDate 2013
dc.date.none.fl_str_mv 2013
2020-09-29T00:42:01Z
2020-09-29T00:42:01Z
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 Raffo, J. L. and Grossi, R. O. “Variational approach of Timoshenko beams with internal elastic restraints”, ISSN 2159-5275 (Print), ISSN 2159-5283 (Online), Journal of Mechanics Engineering and Automation, 3, 491-498, 2013. http://www.davidpublishing.org/DownLoad/?id=13898
http://hdl.handle.net/20.500.12272/4560
10.17265/2159-5275/2013.08.003
identifier_str_mv Raffo, J. L. and Grossi, R. O. “Variational approach of Timoshenko beams with internal elastic restraints”, ISSN 2159-5275 (Print), ISSN 2159-5283 (Online), Journal of Mechanics Engineering and Automation, 3, 491-498, 2013. http://www.davidpublishing.org/DownLoad/?id=13898
10.17265/2159-5275/2013.08.003
url http://hdl.handle.net/20.500.12272/4560
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.davidpublisher.org/Article/index?id=3666.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-29T00:42:01Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier
Atribución – No Comercial – Compartir Igual (by-nc-sa)
eu_rights_str_mv openAccess
rights_invalid_str_mv 2020-09-29T00:42:01Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier
Atribución – No Comercial – Compartir Igual (by-nc-sa)
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv Journal of Mechanics Engineering and Automation 3, 491-498. (2013)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877230943076352000
score 13.265058

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