Non-linear vibration of Euler-Bernoulli beams

Detalhes bibliográficos
Autor(a) principal: Barari,A.
Data de Publicação: 2011
Outros Autores: Kaliji,H.D., Ghadimi,M., Domairry,G.
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=S1679-78252011000200002
Resumo: In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and PPM with Runge-Kutta 4th leads to highly accurate solutions.
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spelling Non-linear vibration of Euler-Bernoulli beamsVariational Iteration Method (VIM)Parametrized Perturbation Method (PPM)Galerkin methodnon-linear vibrationEuler-Bernoulli beamIn this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and PPM with Runge-Kutta 4th leads to highly accurate solutions.Associação Brasileira de Ciências Mecânicas2011-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252011000200002Latin American Journal of Solids and Structures v.8 n.2 2011reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252011000200002info:eu-repo/semantics/openAccessBarari,A.Kaliji,H.D.Ghadimi,M.Domairry,G.eng2011-06-15T00:00:00Zoai:scielo:S1679-78252011000200002Revistahttp://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:2011-06-15T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Non-linear vibration of Euler-Bernoulli beams
title Non-linear vibration of Euler-Bernoulli beams
spellingShingle Non-linear vibration of Euler-Bernoulli beams
Barari,A.
Variational Iteration Method (VIM)
Parametrized Perturbation Method (PPM)
Galerkin method
non-linear vibration
Euler-Bernoulli beam
title_short Non-linear vibration of Euler-Bernoulli beams
title_full Non-linear vibration of Euler-Bernoulli beams
title_fullStr Non-linear vibration of Euler-Bernoulli beams
title_full_unstemmed Non-linear vibration of Euler-Bernoulli beams
title_sort Non-linear vibration of Euler-Bernoulli beams
author Barari,A.
author_facet Barari,A.
Kaliji,H.D.
Ghadimi,M.
Domairry,G.
author_role author
author2 Kaliji,H.D.
Ghadimi,M.
Domairry,G.
author2_role author
author
author
dc.contributor.author.fl_str_mv Barari,A.
Kaliji,H.D.
Ghadimi,M.
Domairry,G.
dc.subject.por.fl_str_mv Variational Iteration Method (VIM)
Parametrized Perturbation Method (PPM)
Galerkin method
non-linear vibration
Euler-Bernoulli beam
topic Variational Iteration Method (VIM)
Parametrized Perturbation Method (PPM)
Galerkin method
non-linear vibration
Euler-Bernoulli beam
description In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and PPM with Runge-Kutta 4th leads to highly accurate solutions.
publishDate 2011
dc.date.none.fl_str_mv 2011-06-01
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=S1679-78252011000200002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252011000200002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252011000200002
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.8 n.2 2011
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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