Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type

Detalhes bibliográficos
Autor(a) principal: Oliveira Santos, Larissa
Data de Publicação: 2023
Outros Autores: Carlos da Rocha, Fabio, Darien Pérez Fernández, Leslie
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Vetor (Online)
Texto Completo: https://periodicos.furg.br/vetor/article/view/15133
Resumo: Beams resting on elastic foundations are widely used in engineering projects, so analyzing their displacement fields is very important. The present work presents solutions for the deflection of isotropic beams resting on elastic foundations of the Winkler-Pasternak type. The proposed formulation is based on the Euler-Bernoulli beam theory, and the governing equations and the boundary conditions are derived from the principle of virtual work. The direct integration method can decouple the deflections from axial displacement and twists. The system of deflection equations decouples into two principal directions and is transformed into a first-order system. The solution of this system of equations is obtained through the method of variation of parameters. When analyzing the results of the maximal deflections, it is observed that increasing values of the foundation stiffness provide decreasing deflections and that the influence of the Pasternak parameter is more significant on the results than that of the Winkler parameter.
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spelling Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak TypeAnálise Estática de Vigas Isotrópicas Apoiadas em Base Elástica Winkler-PasternakIsotropic BeamsEuler-Bernoulli TheoryWinkler-Pasternak FoundationsFoundationsStructureTeoria de Euler-BernoulliVigas IsotrópicasFundações Winkler-Pasternak InglêsBeams resting on elastic foundations are widely used in engineering projects, so analyzing their displacement fields is very important. The present work presents solutions for the deflection of isotropic beams resting on elastic foundations of the Winkler-Pasternak type. The proposed formulation is based on the Euler-Bernoulli beam theory, and the governing equations and the boundary conditions are derived from the principle of virtual work. The direct integration method can decouple the deflections from axial displacement and twists. The system of deflection equations decouples into two principal directions and is transformed into a first-order system. The solution of this system of equations is obtained through the method of variation of parameters. When analyzing the results of the maximal deflections, it is observed that increasing values of the foundation stiffness provide decreasing deflections and that the influence of the Pasternak parameter is more significant on the results than that of the Winkler parameter.Vigas apoiadas em fundações elásticas são amplamente utilizadas em projetos de engenharia, logo analisar os deslocamentos sofridos por elas é muito importante. Por isso, o presente trabalho apresenta soluções para a deflexão de vigas isotrópicas sobre fundações elásticas do tipo Winkler-Pasternak. A formulação proposta é baseada na teoria de vigas de Euler-Bernoulli e as equações que descrevem o problema e as condições de contorno são derivadas do princípio do trabalho virtual. O método de integração direta é utilizado para desacoplar as deflexões do deslocamento axial e da torção. O sistema de equações desacopladas de deflexão em duas direções principais é transformado em um sistema de primeira ordem. A solução deste sistema de equações é obtida através do método de variação de parâmetros. Ao analisar os resultados das deflexões máximas, observa-se que com o aumento dos valores de rigidez de fundação, os deslocamentos de flexão diminuem e que o parâmetro de rigidez de Pasternak tem maior influência aos resultados que a rigidez de Winkler.Universidade Federal do Rio Grande2023-06-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.furg.br/vetor/article/view/1513310.14295/vetor.v33i1.15133VETOR - Journal of Exact Sciences and Engineering; Vol. 33 No. 1 (2023); 114-123VETOR - Revista de Ciências Exatas e Engenharias; v. 33 n. 1 (2023); 114-1232358-34520102-7352reponame:Vetor (Online)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGenghttps://periodicos.furg.br/vetor/article/view/15133/10229Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenhariasinfo:eu-repo/semantics/openAccessOliveira Santos, Larissa Carlos da Rocha, FabioDarien Pérez Fernández, Leslie2023-06-28T19:45:38Zoai:ojs.periodicos.furg.br:article/15133Revistahttps://periodicos.furg.br/vetorPUBhttps://periodicos.furg.br/vetor/oaigmplatt@furg.br2358-34520102-7352opendoar:2023-06-28T19:45:38Vetor (Online) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
Análise Estática de Vigas Isotrópicas Apoiadas em Base Elástica Winkler-Pasternak
title Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
spellingShingle Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
Oliveira Santos, Larissa
Isotropic Beams
Euler-Bernoulli Theory
Winkler-Pasternak Foundations
Foundations
Structure
Teoria de Euler-Bernoulli
Vigas Isotrópicas
Fundações Winkler-Pasternak
Inglês
title_short Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
title_full Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
title_fullStr Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
title_full_unstemmed Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
title_sort Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
author Oliveira Santos, Larissa
author_facet Oliveira Santos, Larissa
Carlos da Rocha, Fabio
Darien Pérez Fernández, Leslie
author_role author
author2 Carlos da Rocha, Fabio
Darien Pérez Fernández, Leslie
author2_role author
author
dc.contributor.author.fl_str_mv Oliveira Santos, Larissa
Carlos da Rocha, Fabio
Darien Pérez Fernández, Leslie
dc.subject.por.fl_str_mv Isotropic Beams
Euler-Bernoulli Theory
Winkler-Pasternak Foundations
Foundations
Structure
Teoria de Euler-Bernoulli
Vigas Isotrópicas
Fundações Winkler-Pasternak
Inglês
topic Isotropic Beams
Euler-Bernoulli Theory
Winkler-Pasternak Foundations
Foundations
Structure
Teoria de Euler-Bernoulli
Vigas Isotrópicas
Fundações Winkler-Pasternak
Inglês
description Beams resting on elastic foundations are widely used in engineering projects, so analyzing their displacement fields is very important. The present work presents solutions for the deflection of isotropic beams resting on elastic foundations of the Winkler-Pasternak type. The proposed formulation is based on the Euler-Bernoulli beam theory, and the governing equations and the boundary conditions are derived from the principle of virtual work. The direct integration method can decouple the deflections from axial displacement and twists. The system of deflection equations decouples into two principal directions and is transformed into a first-order system. The solution of this system of equations is obtained through the method of variation of parameters. When analyzing the results of the maximal deflections, it is observed that increasing values of the foundation stiffness provide decreasing deflections and that the influence of the Pasternak parameter is more significant on the results than that of the Winkler parameter.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-28
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.furg.br/vetor/article/view/15133
10.14295/vetor.v33i1.15133
url https://periodicos.furg.br/vetor/article/view/15133
identifier_str_mv 10.14295/vetor.v33i1.15133
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.furg.br/vetor/article/view/15133/10229
dc.rights.driver.fl_str_mv Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenharias
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenharias
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal do Rio Grande
publisher.none.fl_str_mv Universidade Federal do Rio Grande
dc.source.none.fl_str_mv VETOR - Journal of Exact Sciences and Engineering; Vol. 33 No. 1 (2023); 114-123
VETOR - Revista de Ciências Exatas e Engenharias; v. 33 n. 1 (2023); 114-123
2358-3452
0102-7352
reponame:Vetor (Online)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Vetor (Online)
collection Vetor (Online)
repository.name.fl_str_mv Vetor (Online) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv gmplatt@furg.br
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