Static and dynamic analysis of thick laminated plates using enriched macroelements

Autores
Rango, Rita Fernanda; Nallim, Liz; Oller, Sergio
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The development, computational implementation and application of polynomially-enriched plate macro-element are presented in this work. This macro-element has been formulated by the authors for thin isotropic plates using Gram–Schmidt orthogonal polynomials as enrichment functions and, in this work, the first-order shear deformation theory and the material anisotropy is incorporated. For taking into account plates of several geometrical shapes, an arbitrary quadrilateral laminate is mapped onto a square basic one, so that a unique macro-element can be constructed. The obtained formulation is applied to the static and dynamic analysis of thick composite laminated plates. Besides, it is possible to study generally coplanar plate assemblies by combining two or more macro-elements via a special connectivity matrix. Thus, hierarchically enriched global stiffness matrix, mass matrix, and loading vector of general laminated plate structure are derived. Several different boundary conditions may be arranged in the analysis. This procedure gives a matrix equation of static equilibrium and a matrix-eigenvalue problem that can be solved with optimum efficiency. Numerical obtained results show very good correlation with published results. Besides, the formulation produces stable results and it is computationally efficient.
Fil: Rango, Rita Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; España
Fil: Oller, Sergio. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; España
Materia
Thick Laminated Plates
Macroelement
First Order Shear Deformation Theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/4738
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/4738
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Static and dynamic analysis of thick laminated plates using enriched macroelementsRango, Rita FernandaNallim, LizOller, SergioThick Laminated PlatesMacroelementFirst Order Shear Deformation Theoryhttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2The development, computational implementation and application of polynomially-enriched plate macro-element are presented in this work. This macro-element has been formulated by the authors for thin isotropic plates using Gram–Schmidt orthogonal polynomials as enrichment functions and, in this work, the first-order shear deformation theory and the material anisotropy is incorporated. For taking into account plates of several geometrical shapes, an arbitrary quadrilateral laminate is mapped onto a square basic one, so that a unique macro-element can be constructed. The obtained formulation is applied to the static and dynamic analysis of thick composite laminated plates. Besides, it is possible to study generally coplanar plate assemblies by combining two or more macro-elements via a special connectivity matrix. Thus, hierarchically enriched global stiffness matrix, mass matrix, and loading vector of general laminated plate structure are derived. Several different boundary conditions may be arranged in the analysis. This procedure gives a matrix equation of static equilibrium and a matrix-eigenvalue problem that can be solved with optimum efficiency. Numerical obtained results show very good correlation with published results. Besides, the formulation produces stable results and it is computationally efficient.Fil: Rango, Rita Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); ArgentinaFil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; EspañaFil: Oller, Sergio. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; EspañaElsevier2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/4738Rango, Rita Fernanda; Nallim, Liz; Oller, Sergio; Static and dynamic analysis of thick laminated plates using enriched macroelements; Elsevier; Composite Structures; 101; 7-2013; 94-1030263-8223enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.compstruct.2013.01.028info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0263822313000652info:eu-repo/semantics/altIdentifier/issn/0263-8223info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:13:02Zoai:ri.conicet.gov.ar:11336/4738instacron: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 10:13:02.763CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Static and dynamic analysis of thick laminated plates using enriched macroelements
title Static and dynamic analysis of thick laminated plates using enriched macroelements
spellingShingle Static and dynamic analysis of thick laminated plates using enriched macroelements
Rango, Rita Fernanda
Thick Laminated Plates
Macroelement
First Order Shear Deformation Theory
title_short Static and dynamic analysis of thick laminated plates using enriched macroelements
title_full Static and dynamic analysis of thick laminated plates using enriched macroelements
title_fullStr Static and dynamic analysis of thick laminated plates using enriched macroelements
title_full_unstemmed Static and dynamic analysis of thick laminated plates using enriched macroelements
title_sort Static and dynamic analysis of thick laminated plates using enriched macroelements
dc.creator.none.fl_str_mv Rango, Rita Fernanda
Nallim, Liz
Oller, Sergio
author Rango, Rita Fernanda
author_facet Rango, Rita Fernanda
Nallim, Liz
Oller, Sergio
author_role author
author2 Nallim, Liz
Oller, Sergio
author2_role author
author
dc.subject.none.fl_str_mv Thick Laminated Plates
Macroelement
First Order Shear Deformation Theory
topic Thick Laminated Plates
Macroelement
First Order Shear Deformation Theory
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The development, computational implementation and application of polynomially-enriched plate macro-element are presented in this work. This macro-element has been formulated by the authors for thin isotropic plates using Gram–Schmidt orthogonal polynomials as enrichment functions and, in this work, the first-order shear deformation theory and the material anisotropy is incorporated. For taking into account plates of several geometrical shapes, an arbitrary quadrilateral laminate is mapped onto a square basic one, so that a unique macro-element can be constructed. The obtained formulation is applied to the static and dynamic analysis of thick composite laminated plates. Besides, it is possible to study generally coplanar plate assemblies by combining two or more macro-elements via a special connectivity matrix. Thus, hierarchically enriched global stiffness matrix, mass matrix, and loading vector of general laminated plate structure are derived. Several different boundary conditions may be arranged in the analysis. This procedure gives a matrix equation of static equilibrium and a matrix-eigenvalue problem that can be solved with optimum efficiency. Numerical obtained results show very good correlation with published results. Besides, the formulation produces stable results and it is computationally efficient.
Fil: Rango, Rita Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; España
Fil: Oller, Sergio. International Center for Numerical Methods in Engineering. International Center for Numerical Methods in Engineering; España
description The development, computational implementation and application of polynomially-enriched plate macro-element are presented in this work. This macro-element has been formulated by the authors for thin isotropic plates using Gram–Schmidt orthogonal polynomials as enrichment functions and, in this work, the first-order shear deformation theory and the material anisotropy is incorporated. For taking into account plates of several geometrical shapes, an arbitrary quadrilateral laminate is mapped onto a square basic one, so that a unique macro-element can be constructed. The obtained formulation is applied to the static and dynamic analysis of thick composite laminated plates. Besides, it is possible to study generally coplanar plate assemblies by combining two or more macro-elements via a special connectivity matrix. Thus, hierarchically enriched global stiffness matrix, mass matrix, and loading vector of general laminated plate structure are derived. Several different boundary conditions may be arranged in the analysis. This procedure gives a matrix equation of static equilibrium and a matrix-eigenvalue problem that can be solved with optimum efficiency. Numerical obtained results show very good correlation with published results. Besides, the formulation produces stable results and it is computationally efficient.
publishDate 2013
dc.date.none.fl_str_mv 2013-07
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/11336/4738
Rango, Rita Fernanda; Nallim, Liz; Oller, Sergio; Static and dynamic analysis of thick laminated plates using enriched macroelements; Elsevier; Composite Structures; 101; 7-2013; 94-103
0263-8223
url http://hdl.handle.net/11336/4738
identifier_str_mv Rango, Rita Fernanda; Nallim, Liz; Oller, Sergio; Static and dynamic analysis of thick laminated plates using enriched macroelements; Elsevier; Composite Structures; 101; 7-2013; 94-103
0263-8223
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compstruct.2013.01.028
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0263822313000652
info:eu-repo/semantics/altIdentifier/issn/0263-8223
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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