Variational Approach of Timoshenko Beams with Internal Elastic Restraints

Autores
Raffo, Javier Leandro; Grossi, Ricardo Oscar
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 Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; Argentina
Fil: Grossi, Ricardo Oscar. Universidad Nacional de Salta; Argentina. 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
Calculus of Variations
Timoshenko Beams
Elastically Restrained Ends
Exact Results
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84904
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/84904
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Variational Approach of Timoshenko Beams with Internal Elastic RestraintsRaffo, Javier LeandroGrossi, Ricardo OscarCalculus of VariationsTimoshenko BeamsElastically Restrained EndsExact Resultshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An 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 Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; ArgentinaFil: Grossi, Ricardo Oscar. Universidad Nacional de Salta; Argentina. 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; ArgentinaDavid Publishing Company2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84904Raffo, Javier Leandro; Grossi, Ricardo Oscar; Variational Approach of Timoshenko Beams with Internal Elastic Restraints; David Publishing Company; Journal of Mechanics Engineering and Automation; 3; 8; 10-2013; 491-4982159-5275CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=3666.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.17265/2159-5275/2013.08.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:14:27Zoai:ri.conicet.gov.ar:11336/84904instacron: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 10:14:28.044CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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 Leandro
Calculus of Variations
Timoshenko Beams
Elastically Restrained Ends
Exact Results
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 Leandro
Grossi, Ricardo Oscar
author Raffo, Javier Leandro
author_facet Raffo, Javier Leandro
Grossi, Ricardo Oscar
author_role author
author2 Grossi, Ricardo Oscar
author2_role author
dc.subject.none.fl_str_mv Calculus of Variations
Timoshenko Beams
Elastically Restrained Ends
Exact Results
topic Calculus of Variations
Timoshenko Beams
Elastically Restrained Ends
Exact Results
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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 Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; Argentina
Fil: Grossi, Ricardo Oscar. Universidad Nacional de Salta; Argentina. 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 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 2013-10
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/11336/84904
Raffo, Javier Leandro; Grossi, Ricardo Oscar; Variational Approach of Timoshenko Beams with Internal Elastic Restraints; David Publishing Company; Journal of Mechanics Engineering and Automation; 3; 8; 10-2013; 491-498
2159-5275
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84904
identifier_str_mv Raffo, Javier Leandro; Grossi, Ricardo Oscar; Variational Approach of Timoshenko Beams with Internal Elastic Restraints; David Publishing Company; Journal of Mechanics Engineering and Automation; 3; 8; 10-2013; 491-498
2159-5275
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=3666.html
info:eu-repo/semantics/altIdentifier/doi/10.17265/2159-5275/2013.08.003
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv David Publishing Company
publisher.none.fl_str_mv David Publishing Company
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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