A C1 Beam Element Based on Overhauser Interpolation

Detalhes bibliográficos
Autor(a) principal: Lima,André Schwanz de
Data de Publicação: 2017
Outros Autores: Faria,Alfredo Rocha de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000100092
Resumo: Abstract A new C1 element is proposed to model Euler-Bernoulli beams in one and two-dimensional problems. The proposed formulation assures C1 continuity requirement without the use of rotational degrees of freedom, used in traditional elements, through the use of an Overhauser interpolation scheme for bending displacements. The principle of virtual displacements is used to determine the equilibrium equations and boundary conditions for one and two-dimensional Euler-Bernoulli beams. The Overhauser interpolation is introduced and the new bending interpolation functions are defined. Finally, beam and frame problems are solved with the new formulation and the results are compared to the traditional Euler-Bernoulli element and exact solutions.
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spelling A C1 Beam Element Based on Overhauser InterpolationFinite ElementinterpolationOverhauserbeamAbstract A new C1 element is proposed to model Euler-Bernoulli beams in one and two-dimensional problems. The proposed formulation assures C1 continuity requirement without the use of rotational degrees of freedom, used in traditional elements, through the use of an Overhauser interpolation scheme for bending displacements. The principle of virtual displacements is used to determine the equilibrium equations and boundary conditions for one and two-dimensional Euler-Bernoulli beams. The Overhauser interpolation is introduced and the new bending interpolation functions are defined. Finally, beam and frame problems are solved with the new formulation and the results are compared to the traditional Euler-Bernoulli element and exact solutions.Associação Brasileira de Ciências Mecânicas2017-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000100092Latin American Journal of Solids and Structures v.14 n.1 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78253142info:eu-repo/semantics/openAccessLima,André Schwanz deFaria,Alfredo Rocha deeng2017-03-31T00:00:00Zoai:scielo:S1679-78252017000100092Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2017-03-31T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv A C1 Beam Element Based on Overhauser Interpolation
title A C1 Beam Element Based on Overhauser Interpolation
spellingShingle A C1 Beam Element Based on Overhauser Interpolation
Lima,André Schwanz de
Finite Element
interpolation
Overhauser
beam
title_short A C1 Beam Element Based on Overhauser Interpolation
title_full A C1 Beam Element Based on Overhauser Interpolation
title_fullStr A C1 Beam Element Based on Overhauser Interpolation
title_full_unstemmed A C1 Beam Element Based on Overhauser Interpolation
title_sort A C1 Beam Element Based on Overhauser Interpolation
author Lima,André Schwanz de
author_facet Lima,André Schwanz de
Faria,Alfredo Rocha de
author_role author
author2 Faria,Alfredo Rocha de
author2_role author
dc.contributor.author.fl_str_mv Lima,André Schwanz de
Faria,Alfredo Rocha de
dc.subject.por.fl_str_mv Finite Element
interpolation
Overhauser
beam
topic Finite Element
interpolation
Overhauser
beam
description Abstract A new C1 element is proposed to model Euler-Bernoulli beams in one and two-dimensional problems. The proposed formulation assures C1 continuity requirement without the use of rotational degrees of freedom, used in traditional elements, through the use of an Overhauser interpolation scheme for bending displacements. The principle of virtual displacements is used to determine the equilibrium equations and boundary conditions for one and two-dimensional Euler-Bernoulli beams. The Overhauser interpolation is introduced and the new bending interpolation functions are defined. Finally, beam and frame problems are solved with the new formulation and the results are compared to the traditional Euler-Bernoulli element and exact solutions.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000100092
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000100092
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253142
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.14 n.1 2017
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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