Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges

Autores
Raffo, Javier Leandro; Grossi, Ricardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
The present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition conditions are rigorously derived using Hamilton’s principle. The governing eigen value problem is solved employing a combination of the Ritz method and the Lagrange multipliers method. The deflections of the plate and the Lagrange multipliers are approximated by polynomials as coordinate functions. The developed algorithm allows obtaining approximate solutions for plates with different geometries and boundary conditions, including edges and line hinges elastically restrained. In order to obtain an indication of the accuracy of the developed mathematical model, some cases available in the literature are considered. New results are presented for different boundary conditions and restraint conditions in the internal line hinges.
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Fil: Grossi, RIcardo. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Materia
UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-18T14:40:04Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4544
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line HingesRaffo, Javier LeandroGrossi, RicardoUTNFRDVibrationsAnisotropic platesInternal line hingesThe present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition conditions are rigorously derived using Hamilton’s principle. The governing eigen value problem is solved employing a combination of the Ritz method and the Lagrange multipliers method. The deflections of the plate and the Lagrange multipliers are approximated by polynomials as coordinate functions. The developed algorithm allows obtaining approximate solutions for plates with different geometries and boundary conditions, including edges and line hinges elastically restrained. In order to obtain an indication of the accuracy of the developed mathematical model, some cases available in the literature are considered. New results are presented for different boundary conditions and restraint conditions in the internal line hinges.Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.Fil: Grossi, RIcardo. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.ASOCIACIÓN ARGENTINA DE MECÁNICA COMPUTACIONAL AMCA2020-09-18T14:40:04Z2020-09-18T14:40:04Z2012-11info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdf1666-6070http://hdl.handle.net/20.500.12272/4544enghttp://www.cimec.org.ar/ojs/index.php/mc/article/view/4481/4411info:eu-repo/semantics/openAccess2020-09-18T14:40:04Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, Javier LeandroAtribución–No Comercial–Compartir Igual (by-nc-sa)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacional2026-09-24T12:45:22Zoai:ria.utn.edu.ar:20.500.12272/4544instacron: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 12:45:23.653Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
spellingShingle Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
Raffo, Javier Leandro
UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
title_short Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_full Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_fullStr Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_full_unstemmed Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_sort Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
dc.creator.none.fl_str_mv Raffo, Javier Leandro
Grossi, Ricardo
author Raffo, Javier Leandro
author_facet Raffo, Javier Leandro
Grossi, Ricardo
author_role author
author2 Grossi, Ricardo
author2_role author
dc.subject.none.fl_str_mv UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
topic UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
dc.description.none.fl_txt_mv The present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition conditions are rigorously derived using Hamilton’s principle. The governing eigen value problem is solved employing a combination of the Ritz method and the Lagrange multipliers method. The deflections of the plate and the Lagrange multipliers are approximated by polynomials as coordinate functions. The developed algorithm allows obtaining approximate solutions for plates with different geometries and boundary conditions, including edges and line hinges elastically restrained. In order to obtain an indication of the accuracy of the developed mathematical model, some cases available in the literature are considered. New results are presented for different boundary conditions and restraint conditions in the internal line hinges.
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
Fil: Grossi, RIcardo. Universidad Tecnológica Nacional. Facultad Regional Delta. Investigación, Ciencia y Tecnología. CENES. Grupo de Mecánica computacional; Argentina.
description The present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition conditions are rigorously derived using Hamilton’s principle. The governing eigen value problem is solved employing a combination of the Ritz method and the Lagrange multipliers method. The deflections of the plate and the Lagrange multipliers are approximated by polynomials as coordinate functions. The developed algorithm allows obtaining approximate solutions for plates with different geometries and boundary conditions, including edges and line hinges elastically restrained. In order to obtain an indication of the accuracy of the developed mathematical model, some cases available in the literature are considered. New results are presented for different boundary conditions and restraint conditions in the internal line hinges.
publishDate 2012
dc.date.none.fl_str_mv 2012-11
2020-09-18T14:40:04Z
2020-09-18T14:40:04Z
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv 1666-6070
http://hdl.handle.net/20.500.12272/4544
identifier_str_mv 1666-6070
url http://hdl.handle.net/20.500.12272/4544
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.cimec.org.ar/ojs/index.php/mc/article/view/4481/4411
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-18T14:40:04Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier Leandro
Atribución–No Comercial–Compartir Igual (by-nc-sa)
eu_rights_str_mv openAccess
rights_invalid_str_mv 2020-09-18T14:40:04Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier Leandro
Atribución–No Comercial–Compartir Igual (by-nc-sa)
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv ASOCIACIÓN ARGENTINA DE MECÁNICA COMPUTACIONAL AMCA
publisher.none.fl_str_mv ASOCIACIÓN ARGENTINA DE MECÁNICA COMPUTACIONAL AMCA
dc.source.none.fl_str_mv 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
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score 13.24418

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