Natural frequencies of symmetrically laminated elliptical and circular plates

Autores
Nallim, Liz; Grossi, Ricardo Oscar
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Elliptical and circular fibre reinforced composite plates are important structural elements in modern engineering structures. Vibration analysis of these elements are of interest to structural designers. The present paper deals with the free transverse vibration analysis of symmetrically laminated solid and annular elliptic and circular plates with several complicating effects. The approach developed is based on the Rayleigh-Ritz method where the deflection of the plate is approximated by a general shape function of polynomial type. The analysis includes several complicating effects, such as the presence of an internal hole, an internal ring support, several concentrated masses and the boundary elastically restrained against rotation and translation. Several examples are solved and some results which correspond to particular cases are compared with existing values in the literature. New results are also presented for cross-ply and angle-ply elliptical and circular laminates with different boundary conditions. The algorithm developed can be applied to a wide range of elastic restraint conditions, to any aspect ratio and to higher modes. The effect of the restraint parameters along the boundary on the natural frequencies for plates with these complicating effects is considered. © 2008 Elsevier Ltd. All rights reserved.
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Materia
Composite Laminates
Elastically Restrained Edges
Elliptical Plates
Mode Shapes
Vibration Analysis
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:11336/61610
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Natural frequencies of symmetrically laminated elliptical and circular platesNallim, LizGrossi, Ricardo OscarComposite LaminatesElastically Restrained EdgesElliptical PlatesMode ShapesVibration Analysishttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2Elliptical and circular fibre reinforced composite plates are important structural elements in modern engineering structures. Vibration analysis of these elements are of interest to structural designers. The present paper deals with the free transverse vibration analysis of symmetrically laminated solid and annular elliptic and circular plates with several complicating effects. The approach developed is based on the Rayleigh-Ritz method where the deflection of the plate is approximated by a general shape function of polynomial type. The analysis includes several complicating effects, such as the presence of an internal hole, an internal ring support, several concentrated masses and the boundary elastically restrained against rotation and translation. Several examples are solved and some results which correspond to particular cases are compared with existing values in the literature. New results are also presented for cross-ply and angle-ply elliptical and circular laminates with different boundary conditions. The algorithm developed can be applied to a wide range of elastic restraint conditions, to any aspect ratio and to higher modes. The effect of the restraint parameters along the boundary on the natural frequencies for plates with these complicating effects is considered. © 2008 Elsevier Ltd. All rights reserved.Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; ArgentinaFil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; ArgentinaPergamon-Elsevier Science Ltd2008-07info: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/11336/61610Nallim, Liz; Grossi, Ricardo Oscar; Natural frequencies of symmetrically laminated elliptical and circular plates; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 50; 7; 7-2008; 1153-11670020-7403CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijmecsci.2008.04.005info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0020740308000659info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:13:18Zoai:ri.conicet.gov.ar:11336/61610instacron: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 10:13:19.085CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Natural frequencies of symmetrically laminated elliptical and circular plates
title Natural frequencies of symmetrically laminated elliptical and circular plates
spellingShingle Natural frequencies of symmetrically laminated elliptical and circular plates
Nallim, Liz
Composite Laminates
Elastically Restrained Edges
Elliptical Plates
Mode Shapes
Vibration Analysis
title_short Natural frequencies of symmetrically laminated elliptical and circular plates
title_full Natural frequencies of symmetrically laminated elliptical and circular plates
title_fullStr Natural frequencies of symmetrically laminated elliptical and circular plates
title_full_unstemmed Natural frequencies of symmetrically laminated elliptical and circular plates
title_sort Natural frequencies of symmetrically laminated elliptical and circular plates
dc.creator.none.fl_str_mv Nallim, Liz
Grossi, Ricardo Oscar
author Nallim, Liz
author_facet Nallim, Liz
Grossi, Ricardo Oscar
author_role author
author2 Grossi, Ricardo Oscar
author2_role author
dc.subject.none.fl_str_mv Composite Laminates
Elastically Restrained Edges
Elliptical Plates
Mode Shapes
Vibration Analysis
topic Composite Laminates
Elastically Restrained Edges
Elliptical Plates
Mode Shapes
Vibration Analysis
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Elliptical and circular fibre reinforced composite plates are important structural elements in modern engineering structures. Vibration analysis of these elements are of interest to structural designers. The present paper deals with the free transverse vibration analysis of symmetrically laminated solid and annular elliptic and circular plates with several complicating effects. The approach developed is based on the Rayleigh-Ritz method where the deflection of the plate is approximated by a general shape function of polynomial type. The analysis includes several complicating effects, such as the presence of an internal hole, an internal ring support, several concentrated masses and the boundary elastically restrained against rotation and translation. Several examples are solved and some results which correspond to particular cases are compared with existing values in the literature. New results are also presented for cross-ply and angle-ply elliptical and circular laminates with different boundary conditions. The algorithm developed can be applied to a wide range of elastic restraint conditions, to any aspect ratio and to higher modes. The effect of the restraint parameters along the boundary on the natural frequencies for plates with these complicating effects is considered. © 2008 Elsevier Ltd. All rights reserved.
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
description Elliptical and circular fibre reinforced composite plates are important structural elements in modern engineering structures. Vibration analysis of these elements are of interest to structural designers. The present paper deals with the free transverse vibration analysis of symmetrically laminated solid and annular elliptic and circular plates with several complicating effects. The approach developed is based on the Rayleigh-Ritz method where the deflection of the plate is approximated by a general shape function of polynomial type. The analysis includes several complicating effects, such as the presence of an internal hole, an internal ring support, several concentrated masses and the boundary elastically restrained against rotation and translation. Several examples are solved and some results which correspond to particular cases are compared with existing values in the literature. New results are also presented for cross-ply and angle-ply elliptical and circular laminates with different boundary conditions. The algorithm developed can be applied to a wide range of elastic restraint conditions, to any aspect ratio and to higher modes. The effect of the restraint parameters along the boundary on the natural frequencies for plates with these complicating effects is considered. © 2008 Elsevier Ltd. All rights reserved.
publishDate 2008
dc.date.none.fl_str_mv 2008-07
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/11336/61610
Nallim, Liz; Grossi, Ricardo Oscar; Natural frequencies of symmetrically laminated elliptical and circular plates; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 50; 7; 7-2008; 1153-1167
0020-7403
CONICET Digital
CONICET
url http://hdl.handle.net/11336/61610
identifier_str_mv Nallim, Liz; Grossi, Ricardo Oscar; Natural frequencies of symmetrically laminated elliptical and circular plates; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 50; 7; 7-2008; 1153-1167
0020-7403
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijmecsci.2008.04.005
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0020740308000659
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 Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-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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score 13.070432

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