ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES

Detalhes bibliográficos
Autor(a) principal: Lisbôa, Tales de Vargas
Data de Publicação: 2017
Outros Autores: Geiger, Filipe Paixão
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Interdisciplinar de Pesquisa em Engenharia
Texto Completo: https://periodicos.unb.br/index.php/ripe/article/view/20977
Resumo:  The present paper has as objective the introduction and analysis of a new procedure in order to derive semi-analytical solutions of symmetric and unsymmetrical laminated rectangular thin plates in a recursive manner. The methodology is based on three main characteristics: (a) decomposition of the differential operator into two or more components, (b) an infinite expansion of the differential equation solution and, (c) determination of each superposed solution by a relationship between the divided operators and previous solutions. The first expanded term concerns to the plate’s isotropic solution and, in each step, orthorhombic laminae influence is inserted. In order to approximate the solutions, the pb-2 Rayleigh-Ritz Method is used. Obtained solutions are discussed and compared to those found in the literature.
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spelling ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATESRecursive Methodology. Laminated Plates. Semi-analytical Solution. Rayleigh-Ritz Method. The present paper has as objective the introduction and analysis of a new procedure in order to derive semi-analytical solutions of symmetric and unsymmetrical laminated rectangular thin plates in a recursive manner. The methodology is based on three main characteristics: (a) decomposition of the differential operator into two or more components, (b) an infinite expansion of the differential equation solution and, (c) determination of each superposed solution by a relationship between the divided operators and previous solutions. The first expanded term concerns to the plate’s isotropic solution and, in each step, orthorhombic laminae influence is inserted. In order to approximate the solutions, the pb-2 Rayleigh-Ritz Method is used. Obtained solutions are discussed and compared to those found in the literature.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-02-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2097710.26512/ripe.v2i24.20977Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 24 (2016): NUMERICAL METHODS APPLIED TO STRUCTURAL DESIGN (II); 13-26Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 24 (2016): NUMERICAL METHODS APPLIED TO STRUCTURAL DESIGN (II); 13-262447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/20977/19314Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessLisbôa, Tales de VargasGeiger, Filipe Paixão2019-06-16T19:37:16Zoai:ojs.pkp.sfu.ca:article/20977Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-16T19:37:16Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
title ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
spellingShingle ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
Lisbôa, Tales de Vargas
Recursive Methodology. Laminated Plates. Semi-analytical Solution. Rayleigh-Ritz Method.
title_short ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
title_full ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
title_fullStr ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
title_full_unstemmed ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
title_sort ON A RECURSIVE METHODOLOGY FOR SEMI-ANALYTICAL SOLUTIONS OF SYMMETRIC AND UNSYMMETRIC LAMINATED THIN PLATES
author Lisbôa, Tales de Vargas
author_facet Lisbôa, Tales de Vargas
Geiger, Filipe Paixão
author_role author
author2 Geiger, Filipe Paixão
author2_role author
dc.contributor.author.fl_str_mv Lisbôa, Tales de Vargas
Geiger, Filipe Paixão
dc.subject.por.fl_str_mv Recursive Methodology. Laminated Plates. Semi-analytical Solution. Rayleigh-Ritz Method.
topic Recursive Methodology. Laminated Plates. Semi-analytical Solution. Rayleigh-Ritz Method.
description  The present paper has as objective the introduction and analysis of a new procedure in order to derive semi-analytical solutions of symmetric and unsymmetrical laminated rectangular thin plates in a recursive manner. The methodology is based on three main characteristics: (a) decomposition of the differential operator into two or more components, (b) an infinite expansion of the differential equation solution and, (c) determination of each superposed solution by a relationship between the divided operators and previous solutions. The first expanded term concerns to the plate’s isotropic solution and, in each step, orthorhombic laminae influence is inserted. In order to approximate the solutions, the pb-2 Rayleigh-Ritz Method is used. Obtained solutions are discussed and compared to those found in the literature.
publishDate 2017
dc.date.none.fl_str_mv 2017-02-08
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/20977
10.26512/ripe.v2i24.20977
url https://periodicos.unb.br/index.php/ripe/article/view/20977
identifier_str_mv 10.26512/ripe.v2i24.20977
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/20977/19314
dc.rights.driver.fl_str_mv Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
dc.source.none.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 24 (2016): NUMERICAL METHODS APPLIED TO STRUCTURAL DESIGN (II); 13-26
Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 24 (2016): NUMERICAL METHODS APPLIED TO STRUCTURAL DESIGN (II); 13-26
2447-6102
reponame:Revista Interdisciplinar de Pesquisa em Engenharia
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Revista Interdisciplinar de Pesquisa em Engenharia
collection Revista Interdisciplinar de Pesquisa em Engenharia
repository.name.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)
repository.mail.fl_str_mv anflor@unb.br
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