A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams

Autores
Raffo, Javier; Grossi, Ricardo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequencies and mode shapes. New results are presented for different boundary conditions and restraint conditions in the internal hinges. The mathematical model is also used to study the influence on the frequencies and mode shapes of varying intermediate supports that are located at the nodal points of higher modes. A detailed numerical study on the effects of the locations of intermediate translational restraints and their stiffness on the natural frequencies and mode shapes is performed for different boundary conditions. The effect of the presence of the internal hinges is alsoanalysed. Graphsandtablesofthenon-dimensionalfrequenciesandthecorrespondingmodeshapesaregiven in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
Fuente
International Journal of Acoustics and Vibration,19 (4), 261-268. (2014)
Materia
UTN
FRD
Mecánica Computacional
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-29T01:08:17Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4561
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of BeamsRaffo, JavierGrossi, RicardoUTNFRDMecánica ComputacionalThis note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequencies and mode shapes. New results are presented for different boundary conditions and restraint conditions in the internal hinges. The mathematical model is also used to study the influence on the frequencies and mode shapes of varying intermediate supports that are located at the nodal points of higher modes. A detailed numerical study on the effects of the locations of intermediate translational restraints and their stiffness on the natural frequencies and mode shapes is performed for different boundary conditions. The effect of the presence of the internal hinges is alsoanalysed. Graphsandtablesofthenon-dimensionalfrequenciesandthecorrespondingmodeshapesaregiven in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.Peer Reviewed2020-09-29T01:08:17Z2020-09-29T01:08:17Z2014info: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. “A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams”, International Journal of Acoustics and Vibration, ISSN 1027-5851, Vol. 19, issue 4, pp. 261-268, 20141027-5851http://hdl.handle.net/20.500.12272/4561International Journal of Acoustics and Vibration,19 (4), 261-268. (2014)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenghttps://www.iiav.org/ijav/content/volumes/19_2014_1148751395224895/vol_4/712_firstpage_498181419333153.pdfinfo:eu-repo/semantics/openAccess2020-09-29T01:08:17Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, JavierAtribución – No Comercial – Compartir Igual (by-nc-sa)2026-09-24T12:49:01Zoai:ria.utn.edu.ar:20.500.12272/4561instacron: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 12:49:01.908Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
spellingShingle A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
Raffo, Javier
UTN
FRD
Mecánica Computacional
title_short A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_full A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_fullStr A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_full_unstemmed A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_sort A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
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
Mecánica Computacional
topic UTN
FRD
Mecánica Computacional
dc.description.none.fl_txt_mv This note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequencies and mode shapes. New results are presented for different boundary conditions and restraint conditions in the internal hinges. The mathematical model is also used to study the influence on the frequencies and mode shapes of varying intermediate supports that are located at the nodal points of higher modes. A detailed numerical study on the effects of the locations of intermediate translational restraints and their stiffness on the natural frequencies and mode shapes is performed for different boundary conditions. The effect of the presence of the internal hinges is alsoanalysed. Graphsandtablesofthenon-dimensionalfrequenciesandthecorrespondingmodeshapesaregiven in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
description This note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequencies and mode shapes. New results are presented for different boundary conditions and restraint conditions in the internal hinges. The mathematical model is also used to study the influence on the frequencies and mode shapes of varying intermediate supports that are located at the nodal points of higher modes. A detailed numerical study on the effects of the locations of intermediate translational restraints and their stiffness on the natural frequencies and mode shapes is performed for different boundary conditions. The effect of the presence of the internal hinges is alsoanalysed. Graphsandtablesofthenon-dimensionalfrequenciesandthecorrespondingmodeshapesaregiven in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
publishDate 2014
dc.date.none.fl_str_mv 2014
2020-09-29T01:08:17Z
2020-09-29T01:08:17Z
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. “A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams”, International Journal of Acoustics and Vibration, ISSN 1027-5851, Vol. 19, issue 4, pp. 261-268, 2014
1027-5851
http://hdl.handle.net/20.500.12272/4561
identifier_str_mv Raffo, J. L. and Grossi, R. O. “A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams”, International Journal of Acoustics and Vibration, ISSN 1027-5851, Vol. 19, issue 4, pp. 261-268, 2014
1027-5851
url http://hdl.handle.net/20.500.12272/4561
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.iiav.org/ijav/content/volumes/19_2014_1148751395224895/vol_4/712_firstpage_498181419333153.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-29T01:08:17Z
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 2020-09-29T01:08:17Z
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 International Journal of Acoustics and Vibration,19 (4), 261-268. (2014)
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_ 1877230985790095360
score 13.24418

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