An Explicit Stiffness Matrix for Parabolic Beam Element

Detalhes bibliográficos
Autor(a) principal: Rezaiee-Pajand,Mohammad
Data de Publicação: 2016
Outros Autores: Rajabzadeh-Safaei,Niloofar
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=S1679-78252016000901782
Resumo: Abstract This study is devoted to strain-based formulation for a curved beam. Arches with parabolic geometry, which have a variety of applications, belong to this structural type. Dependency of the curvature radius to the arch length creates some complexities in the solution process. To analyze these complex structures, a two-node beam with six degrees of freedom is suggested by utilizing closed-form solution and the stiffness-based finite element method. Considering the effect of shear deformation, and incorporating equilibrium conditions into the finite element model, lead to the exact strains. Displacements and explicit stiffness matrix are found based on these exact strains. To validate the efficiency of the author's formulation, seven numerical tests are performed. The outcomes demonstrate that by employing only a single element, the locking-free answers can be found.
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spelling An Explicit Stiffness Matrix for Parabolic Beam ElementFinite element methodparabolic beamexplicit stiffness matrixstrain-based formulationequilibrium conditionsAbstract This study is devoted to strain-based formulation for a curved beam. Arches with parabolic geometry, which have a variety of applications, belong to this structural type. Dependency of the curvature radius to the arch length creates some complexities in the solution process. To analyze these complex structures, a two-node beam with six degrees of freedom is suggested by utilizing closed-form solution and the stiffness-based finite element method. Considering the effect of shear deformation, and incorporating equilibrium conditions into the finite element model, lead to the exact strains. Displacements and explicit stiffness matrix are found based on these exact strains. To validate the efficiency of the author's formulation, seven numerical tests are performed. The outcomes demonstrate that by employing only a single element, the locking-free answers can be found.Associação Brasileira de Ciências Mecânicas2016-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000901782Latin American Journal of Solids and Structures v.13 n.9 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252820info:eu-repo/semantics/openAccessRezaiee-Pajand,MohammadRajabzadeh-Safaei,Niloofareng2016-10-26T00:00:00Zoai:scielo:S1679-78252016000901782Revistahttp://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:2016-10-26T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv An Explicit Stiffness Matrix for Parabolic Beam Element
title An Explicit Stiffness Matrix for Parabolic Beam Element
spellingShingle An Explicit Stiffness Matrix for Parabolic Beam Element
Rezaiee-Pajand,Mohammad
Finite element method
parabolic beam
explicit stiffness matrix
strain-based formulation
equilibrium conditions
title_short An Explicit Stiffness Matrix for Parabolic Beam Element
title_full An Explicit Stiffness Matrix for Parabolic Beam Element
title_fullStr An Explicit Stiffness Matrix for Parabolic Beam Element
title_full_unstemmed An Explicit Stiffness Matrix for Parabolic Beam Element
title_sort An Explicit Stiffness Matrix for Parabolic Beam Element
author Rezaiee-Pajand,Mohammad
author_facet Rezaiee-Pajand,Mohammad
Rajabzadeh-Safaei,Niloofar
author_role author
author2 Rajabzadeh-Safaei,Niloofar
author2_role author
dc.contributor.author.fl_str_mv Rezaiee-Pajand,Mohammad
Rajabzadeh-Safaei,Niloofar
dc.subject.por.fl_str_mv Finite element method
parabolic beam
explicit stiffness matrix
strain-based formulation
equilibrium conditions
topic Finite element method
parabolic beam
explicit stiffness matrix
strain-based formulation
equilibrium conditions
description Abstract This study is devoted to strain-based formulation for a curved beam. Arches with parabolic geometry, which have a variety of applications, belong to this structural type. Dependency of the curvature radius to the arch length creates some complexities in the solution process. To analyze these complex structures, a two-node beam with six degrees of freedom is suggested by utilizing closed-form solution and the stiffness-based finite element method. Considering the effect of shear deformation, and incorporating equilibrium conditions into the finite element model, lead to the exact strains. Displacements and explicit stiffness matrix are found based on these exact strains. To validate the efficiency of the author's formulation, seven numerical tests are performed. The outcomes demonstrate that by employing only a single element, the locking-free answers can be found.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-01
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=S1679-78252016000901782
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000901782
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78252820
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.13 n.9 2016
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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