Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
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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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 |
_version_ |
1797041760254296064 |