Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge

Autores
Ratazzi, Alejandro R.; Bambill, Diana Virginia; Rossit, Carlos Adolfo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.
Fil: Ratazzi, Alejandro R.. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Materia
BEAMS
STRUCTURES
ELASTIC HINGE
FREE VIBRATIONS
ELASTIC BOUNDARY CONDITIONS
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:11336/10440
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/10440
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic HingeRatazzi, Alejandro R.Bambill, Diana VirginiaRossit, Carlos AdolfoBEAMSSTRUCTURESELASTIC HINGEFREE VIBRATIONSELASTIC BOUNDARY CONDITIONShttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.Fil: Ratazzi, Alejandro R.. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaHindawi Publishing Corporation2013-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10440Ratazzi, Alejandro R.; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge; Hindawi Publishing Corporation; Chinese Journal of Engineering; 2013; 9-2013; 1-102314-8063enginfo:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/cje/2013/624658/info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1155/2013/624658info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:25:00Zoai:ri.conicet.gov.ar:11336/10440instacron: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 13:25:00.736CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
title Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
spellingShingle Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
Ratazzi, Alejandro R.
BEAMS
STRUCTURES
ELASTIC HINGE
FREE VIBRATIONS
ELASTIC BOUNDARY CONDITIONS
title_short Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
title_full Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
title_fullStr Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
title_full_unstemmed Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
title_sort Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
dc.creator.none.fl_str_mv Ratazzi, Alejandro R.
Bambill, Diana Virginia
Rossit, Carlos Adolfo
author Ratazzi, Alejandro R.
author_facet Ratazzi, Alejandro R.
Bambill, Diana Virginia
Rossit, Carlos Adolfo
author_role author
author2 Bambill, Diana Virginia
Rossit, Carlos Adolfo
author2_role author
author
dc.subject.none.fl_str_mv BEAMS
STRUCTURES
ELASTIC HINGE
FREE VIBRATIONS
ELASTIC BOUNDARY CONDITIONS
topic BEAMS
STRUCTURES
ELASTIC HINGE
FREE VIBRATIONS
ELASTIC BOUNDARY CONDITIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.
Fil: Ratazzi, Alejandro R.. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
description The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
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/11336/10440
Ratazzi, Alejandro R.; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge; Hindawi Publishing Corporation; Chinese Journal of Engineering; 2013; 9-2013; 1-10
2314-8063
url http://hdl.handle.net/11336/10440
identifier_str_mv Ratazzi, Alejandro R.; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge; Hindawi Publishing Corporation; Chinese Journal of Engineering; 2013; 9-2013; 1-10
2314-8063
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/cje/2013/624658/
info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1155/2013/624658
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 Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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_ 1842981388430606336
score 12.48226

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