Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , |
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. |
id |
ABCM-1_8b2743c5034d527305ca675f5e4e67c5 |
---|---|
oai_identifier_str |
oai:scielo:S1679-78252014000100010 |
network_acronym_str |
ABCM-1 |
network_name_str |
Latin American journal of solids and structures (Online) |
repository_id_str |
|
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 |
_version_ |
1754302887283916800 |