A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and mode shapes of beams

Autores
Raffo, Javier Leandro; Grossi, Ricardo Oscar
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 also analysed. Graphs and tables of the non-dimensional frequencies and the corresponding mode shapes are given in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
Fil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Materia
Intermediate Restraints
Vibrating Beams
Hinges
Frequencies
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:11336/4743
Acceder
id CONICETDig_def8a8888bcd2b1cdbad65b2ec5f2ff2
oai_identifier_str oai:ri.conicet.gov.ar:11336/4743
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and mode shapes of beamsRaffo, Javier LeandroGrossi, Ricardo OscarIntermediate RestraintsVibrating BeamsHingesFrequencieshttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2This 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 also analysed. Graphs and tables of the non-dimensional frequencies and the corresponding mode shapes are given in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.Fil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; ArgentinaFil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); ArgentinaInternational Institute of Acoustics and Vibration2014-12info: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/11336/4743Raffo, Javier Leandro; Grossi, Ricardo Oscar; A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and mode shapes of beams; International Institute of Acoustics and Vibration; International Journal of Acoustics and Vibration; 19; 4; 12-2014; 261-2681027-5851enginfo:eu-repo/semantics/altIdentifier/url/http://iiav.org/ijav/content/volumes/19_2014_1148751395224895/vol_4/712_firstpage_498181419333153.pdfinfo:eu-repo/semantics/altIdentifier/issn/1027-5851info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:15Zoai:ri.conicet.gov.ar:11336/4743instacron: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 09:36:15.588CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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 Leandro
Intermediate Restraints
Vibrating Beams
Hinges
Frequencies
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 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 Intermediate Restraints
Vibrating Beams
Hinges
Frequencies
topic Intermediate Restraints
Vibrating Beams
Hinges
Frequencies
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 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 also analysed. Graphs and tables of the non-dimensional frequencies and the corresponding mode shapes are given in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
Fil: Raffo, Javier Leandro. Universidad Tecnologica Nacional. Facultad Regional Delta; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
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 also analysed. Graphs and tables of the non-dimensional frequencies and the corresponding mode shapes are given in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
publishDate 2014
dc.date.none.fl_str_mv 2014-12
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/11336/4743
Raffo, Javier Leandro; Grossi, Ricardo Oscar; A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and mode shapes of beams; International Institute of Acoustics and Vibration; International Journal of Acoustics and Vibration; 19; 4; 12-2014; 261-268
1027-5851
url http://hdl.handle.net/11336/4743
identifier_str_mv Raffo, Javier Leandro; Grossi, Ricardo Oscar; A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and mode shapes of beams; International Institute of Acoustics and Vibration; International Journal of Acoustics and Vibration; 19; 4; 12-2014; 261-268
1027-5851
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iiav.org/ijav/content/volumes/19_2014_1148751395224895/vol_4/712_firstpage_498181419333153.pdf
info:eu-repo/semantics/altIdentifier/issn/1027-5851
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 International Institute of Acoustics and Vibration
publisher.none.fl_str_mv International Institute of Acoustics and Vibration
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_ 1844613135471738880
score 13.070432

Publicaciones similares