Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution

Autores
Maiz, Santiago; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The situation of structural elements supporting motors or engines attached to them is usual in technological applications. The operation of the machine may introduce severe dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. An exact solution for the title problem is obtained in closed-form fashion, considering general boundary conditions by means of translational and rotatory springs at both ends. The model allows to analyze the influence of the masses and their rotatory inertia on the dynamic behavior of beams with all the classic boundary conditions, and also, as particular cases, to determine the frequencies of continuous beams.
Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Materia
Bernoulli–Euler
Transverse Vibration
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:11336/81976

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spelling Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solutionMaiz, SantiagoBambill, Diana VirginiaRossit, Carlos AdolfoLaura, Patricio Adolfo AntonioBernoulli–EulerTransverse Vibrationhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2The situation of structural elements supporting motors or engines attached to them is usual in technological applications. The operation of the machine may introduce severe dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. An exact solution for the title problem is obtained in closed-form fashion, considering general boundary conditions by means of translational and rotatory springs at both ends. The model allows to analyze the influence of the masses and their rotatory inertia on the dynamic behavior of beams with all the classic boundary conditions, and also, as particular cases, to determine the frequencies of continuous beams.Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaAcademic Press Ltd - Elsevier Science Ltd2007-06-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/81976Maiz, Santiago; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 303; 3-5; 20-6-2007; 895-9080022-460XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X07000855info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsv.2006.12.028info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:33:05Zoai:ri.conicet.gov.ar:11336/81976instacron: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:34982025-10-15 15:33:05.475CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
title Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
spellingShingle Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
Maiz, Santiago
Bernoulli–Euler
Transverse Vibration
title_short Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
title_full Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
title_fullStr Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
title_full_unstemmed Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
title_sort Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution
dc.creator.none.fl_str_mv Maiz, Santiago
Bambill, Diana Virginia
Rossit, Carlos Adolfo
Laura, Patricio Adolfo Antonio
author Maiz, Santiago
author_facet Maiz, Santiago
Bambill, Diana Virginia
Rossit, Carlos Adolfo
Laura, Patricio Adolfo Antonio
author_role author
author2 Bambill, Diana Virginia
Rossit, Carlos Adolfo
Laura, Patricio Adolfo Antonio
author2_role author
author
author
dc.subject.none.fl_str_mv Bernoulli–Euler
Transverse Vibration
topic Bernoulli–Euler
Transverse Vibration
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The situation of structural elements supporting motors or engines attached to them is usual in technological applications. The operation of the machine may introduce severe dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. An exact solution for the title problem is obtained in closed-form fashion, considering general boundary conditions by means of translational and rotatory springs at both ends. The model allows to analyze the influence of the masses and their rotatory inertia on the dynamic behavior of beams with all the classic boundary conditions, and also, as particular cases, to determine the frequencies of continuous beams.
Fil: Maiz, Santiago. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Bambill, Diana Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Laura, Patricio Adolfo Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
description The situation of structural elements supporting motors or engines attached to them is usual in technological applications. The operation of the machine may introduce severe dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. An exact solution for the title problem is obtained in closed-form fashion, considering general boundary conditions by means of translational and rotatory springs at both ends. The model allows to analyze the influence of the masses and their rotatory inertia on the dynamic behavior of beams with all the classic boundary conditions, and also, as particular cases, to determine the frequencies of continuous beams.
publishDate 2007
dc.date.none.fl_str_mv 2007-06-20
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/11336/81976
Maiz, Santiago; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 303; 3-5; 20-6-2007; 895-908
0022-460X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/81976
identifier_str_mv Maiz, Santiago; Bambill, Diana Virginia; Rossit, Carlos Adolfo; Laura, Patricio Adolfo Antonio; Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 303; 3-5; 20-6-2007; 895-908
0022-460X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X07000855
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsv.2006.12.028
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
application/pdf
dc.publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
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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