Geometrically non-linear analysis of inclined elastic rods subjected to self-weight

Detalhes bibliográficos
Autor(a) principal: Vaz,Murilo Augusto
Data de Publicação: 2012
Outros Autores: Castelpoggi,Felipe Sant'Ana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000100008
Resumo: The behavior of inclined slender elastic rods subjected to axial forces and distributed load is discussed in this paper. Mathematical models and numerical solutions are developed for small and large displacements. A double-hinged boundary condition is assumed and the analysis is carried out for different values of non-dimensional weight (distributed load) and angle of inclination. The mathematical formulation results from considering geometrical compatibility, equilibrium of forces and moments and constitutive relations. For large displacements, a set of six first order non-linear ordinary differential equations with boundary conditions prescribed at both ends is obtained. This two-point boundary value problem is numerically integrated using a three-parameter shooting method. When small displacements are assumed the problem simplifies and a power series solution may be conveniently employed. The results for both simulations are presented, compared and discussed.
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spelling Geometrically non-linear analysis of inclined elastic rods subjected to self-weightelastic rodsinclined rodsnon-linear analysisThe behavior of inclined slender elastic rods subjected to axial forces and distributed load is discussed in this paper. Mathematical models and numerical solutions are developed for small and large displacements. A double-hinged boundary condition is assumed and the analysis is carried out for different values of non-dimensional weight (distributed load) and angle of inclination. The mathematical formulation results from considering geometrical compatibility, equilibrium of forces and moments and constitutive relations. For large displacements, a set of six first order non-linear ordinary differential equations with boundary conditions prescribed at both ends is obtained. This two-point boundary value problem is numerically integrated using a three-parameter shooting method. When small displacements are assumed the problem simplifies and a power series solution may be conveniently employed. The results for both simulations are presented, compared and discussed.Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM2012-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000100008Journal of the Brazilian Society of Mechanical Sciences and Engineering v.34 n.1 2012reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1678-58782012000100008info:eu-repo/semantics/openAccessVaz,Murilo AugustoCastelpoggi,Felipe Sant'Anaeng2012-04-10T00:00:00Zoai:scielo:S1678-58782012000100008Revistahttps://www.scielo.br/j/jbsmse/https://old.scielo.br/oai/scielo-oai.php||abcm@abcm.org.br1806-36911678-5878opendoar:2012-04-10T00:00Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
title Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
spellingShingle Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
Vaz,Murilo Augusto
elastic rods
inclined rods
non-linear analysis
title_short Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
title_full Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
title_fullStr Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
title_full_unstemmed Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
title_sort Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
author Vaz,Murilo Augusto
author_facet Vaz,Murilo Augusto
Castelpoggi,Felipe Sant'Ana
author_role author
author2 Castelpoggi,Felipe Sant'Ana
author2_role author
dc.contributor.author.fl_str_mv Vaz,Murilo Augusto
Castelpoggi,Felipe Sant'Ana
dc.subject.por.fl_str_mv elastic rods
inclined rods
non-linear analysis
topic elastic rods
inclined rods
non-linear analysis
description The behavior of inclined slender elastic rods subjected to axial forces and distributed load is discussed in this paper. Mathematical models and numerical solutions are developed for small and large displacements. A double-hinged boundary condition is assumed and the analysis is carried out for different values of non-dimensional weight (distributed load) and angle of inclination. The mathematical formulation results from considering geometrical compatibility, equilibrium of forces and moments and constitutive relations. For large displacements, a set of six first order non-linear ordinary differential equations with boundary conditions prescribed at both ends is obtained. This two-point boundary value problem is numerically integrated using a three-parameter shooting method. When small displacements are assumed the problem simplifies and a power series solution may be conveniently employed. The results for both simulations are presented, compared and discussed.
publishDate 2012
dc.date.none.fl_str_mv 2012-03-01
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=S1678-58782012000100008
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1678-58782012000100008
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 Engenharia e Ciências Mecânicas - ABCM
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.34 n.1 2012
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (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 Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
collection Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository.name.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv ||abcm@abcm.org.br
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