Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques

Detalhes bibliográficos
Autor(a) principal: Bagheri,S.
Data de Publicação: 2014
Outros Autores: Nikkar,A., Ghaffarzadeh,H.
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=S1679-78252014000100010
Resumo: In this paper, nonlinear responses of a clamped-clamped buckled beam are investigated. Two efficient and easy mathematical techniques called He's Variational Approach and Laplace Iteration Method are used to solve the governing differential equation of motion. To assess the accuracy of solutions, we compare the results with the Runge-Kutta 4th order. The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics.
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spelling Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniquesNonlinear VibrationLaplace Iteration MethodHe's Variational ApproachEuler-Bernoulli beamIn this paper, nonlinear responses of a clamped-clamped buckled beam are investigated. Two efficient and easy mathematical techniques called He's Variational Approach and Laplace Iteration Method are used to solve the governing differential equation of motion. To assess the accuracy of solutions, we compare the results with the Runge-Kutta 4th order. The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics.Associação Brasileira de Ciências Mecânicas2014-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000100010Latin American Journal of Solids and Structures v.11 n.1 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000100010info:eu-repo/semantics/openAccessBagheri,S.Nikkar,A.Ghaffarzadeh,H.eng2013-06-25T00:00:00Zoai:scielo:S1679-78252014000100010Revistahttp://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:2013-06-25T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
title Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
spellingShingle Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
Bagheri,S.
Nonlinear Vibration
Laplace Iteration Method
He's Variational Approach
Euler-Bernoulli beam
title_short Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
title_full Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
title_fullStr Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
title_full_unstemmed Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
title_sort Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
author Bagheri,S.
author_facet Bagheri,S.
Nikkar,A.
Ghaffarzadeh,H.
author_role author
author2 Nikkar,A.
Ghaffarzadeh,H.
author2_role author
author
dc.contributor.author.fl_str_mv Bagheri,S.
Nikkar,A.
Ghaffarzadeh,H.
dc.subject.por.fl_str_mv Nonlinear Vibration
Laplace Iteration Method
He's Variational Approach
Euler-Bernoulli beam
topic Nonlinear Vibration
Laplace Iteration Method
He's Variational Approach
Euler-Bernoulli beam
description In this paper, nonlinear responses of a clamped-clamped buckled beam are investigated. Two efficient and easy mathematical techniques called He's Variational Approach and Laplace Iteration Method are used to solve the governing differential equation of motion. To assess the accuracy of solutions, we compare the results with the Runge-Kutta 4th order. The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01
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=S1679-78252014000100010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000100010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252014000100010
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.11 n.1 2014
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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