Natural vibrations of anisotropic plates with several internal line hinges

Autores
Grossi, Ricardo; Raffo, Javier
Año de publicación
2013
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
This paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are derived using Hamilton’s principle in a rigorous framework. A new analytical manipulation based on a condensed notation is used to compact the corresponding analytical expressions. A combination of the Ritz method and the Lagrange multipliers method with polynomials as coordinate functions is used to obtain tables of the nondimensional frequencies and the corresponding mode shapes, for rectangular plates with different boundary conditions and restraint conditions in the internal line hinges. The cases not previously treated of two- and three line hinges are particularly analyzed.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Fuente
Springer Vienna 224(11), 2677-2697. (2013)
Materia
UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-29T01:34:23Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4562
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling Natural vibrations of anisotropic plates with several internal line hingesGrossi, RicardoRaffo, JavierUTNFRDRectangular PlateFrequency Parameter Natural VibrationLagrange Multiplier Method Internal LineThis paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are derived using Hamilton’s principle in a rigorous framework. A new analytical manipulation based on a condensed notation is used to compact the corresponding analytical expressions. A combination of the Ritz method and the Lagrange multipliers method with polynomials as coordinate functions is used to obtain tables of the nondimensional frequencies and the corresponding mode shapes, for rectangular plates with different boundary conditions and restraint conditions in the internal line hinges. The cases not previously treated of two- and three line hinges are particularly analyzed.Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.Sprimger Link2020-09-29T01:34:23Z2020-09-29T01:34:23Z2013-05-29info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfGrossi, R. O. and Raffo, J. L. "Natural Vibrations of Anisotropic Plates with Several Internal Line Hinges”, Acta Mechanica, Print ISSN 0001-5970, Online ISSN 1619-6937, Springer Vienna, Vol. 224, Issue 11, pp 2677-2697, DOI 10.1007/s00707-013-0892-4, Nov 2013. http://link.springer.com/article/10.1007%2Fs00707-013-0892-4http://hdl.handle.net/20.500.12272/456210.1007/s00707-013-0892-4Springer Vienna 224(11), 2677-2697. (2013)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenghttps://link.springer.com/article/10.1007/s00707-013-0892-4info:eu-repo/semantics/openAccess2020-09-29T01:34:23Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, JavierAtribución – No Comercial – Compartir Igual (by-nc-sa)2026-09-24T12:44:39Zoai:ria.utn.edu.ar:20.500.12272/4562instacron: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 12:44:40.853Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Natural vibrations of anisotropic plates with several internal line hinges
title Natural vibrations of anisotropic plates with several internal line hinges
spellingShingle Natural vibrations of anisotropic plates with several internal line hinges
Grossi, Ricardo
UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
title_short Natural vibrations of anisotropic plates with several internal line hinges
title_full Natural vibrations of anisotropic plates with several internal line hinges
title_fullStr Natural vibrations of anisotropic plates with several internal line hinges
title_full_unstemmed Natural vibrations of anisotropic plates with several internal line hinges
title_sort Natural vibrations of anisotropic plates with several internal line hinges
dc.creator.none.fl_str_mv Grossi, Ricardo
Raffo, Javier
author Grossi, Ricardo
author_facet Grossi, Ricardo
Raffo, Javier
author_role author
author2 Raffo, Javier
author2_role author
dc.subject.none.fl_str_mv UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
topic UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
dc.description.none.fl_txt_mv This paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are derived using Hamilton’s principle in a rigorous framework. A new analytical manipulation based on a condensed notation is used to compact the corresponding analytical expressions. A combination of the Ritz method and the Lagrange multipliers method with polynomials as coordinate functions is used to obtain tables of the nondimensional frequencies and the corresponding mode shapes, for rectangular plates with different boundary conditions and restraint conditions in the internal line hinges. The cases not previously treated of two- and three line hinges are particularly analyzed.
Fil: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
description This paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are derived using Hamilton’s principle in a rigorous framework. A new analytical manipulation based on a condensed notation is used to compact the corresponding analytical expressions. A combination of the Ritz method and the Lagrange multipliers method with polynomials as coordinate functions is used to obtain tables of the nondimensional frequencies and the corresponding mode shapes, for rectangular plates with different boundary conditions and restraint conditions in the internal line hinges. The cases not previously treated of two- and three line hinges are particularly analyzed.
publishDate 2013
dc.date.none.fl_str_mv 2013-05-29
2020-09-29T01:34:23Z
2020-09-29T01:34:23Z
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 Grossi, R. O. and Raffo, J. L. "Natural Vibrations of Anisotropic Plates with Several Internal Line Hinges”, Acta Mechanica, Print ISSN 0001-5970, Online ISSN 1619-6937, Springer Vienna, Vol. 224, Issue 11, pp 2677-2697, DOI 10.1007/s00707-013-0892-4, Nov 2013. http://link.springer.com/article/10.1007%2Fs00707-013-0892-4
http://hdl.handle.net/20.500.12272/4562
10.1007/s00707-013-0892-4
identifier_str_mv Grossi, R. O. and Raffo, J. L. "Natural Vibrations of Anisotropic Plates with Several Internal Line Hinges”, Acta Mechanica, Print ISSN 0001-5970, Online ISSN 1619-6937, Springer Vienna, Vol. 224, Issue 11, pp 2677-2697, DOI 10.1007/s00707-013-0892-4, Nov 2013. http://link.springer.com/article/10.1007%2Fs00707-013-0892-4
10.1007/s00707-013-0892-4
url http://hdl.handle.net/20.500.12272/4562
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s00707-013-0892-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-29T01:34:23Z
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 2020-09-29T01:34:23Z
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.publisher.none.fl_str_mv Sprimger Link
publisher.none.fl_str_mv Sprimger Link
dc.source.none.fl_str_mv Springer Vienna 224(11), 2677-2697. (2013)
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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