Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method

Detalhes bibliográficos
Autor(a) principal: Khan,M. Sabeel
Data de Publicação: 2017
Outros Autores: Kaneez,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=S1679-78252017000901695
Resumo: Abstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employed in order to investigate the vibrational response. A comparison is made between present method and different other methods available in literature. It is observed that the obtained results are in strong agreement with other results in literature. We conclude that the present method has a great potential to deal with nonlinear vibration analysis problems of beams and related structures like rods and shafts.
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spelling Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization MethodNonlinear vibrationEuler-Bernoulli beamsTime discretizationNumerical methodAbstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employed in order to investigate the vibrational response. A comparison is made between present method and different other methods available in literature. It is observed that the obtained results are in strong agreement with other results in literature. We conclude that the present method has a great potential to deal with nonlinear vibration analysis problems of beams and related structures like rods and shafts.Associação Brasileira de Ciências Mecânicas2017-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901695Latin American Journal of Solids and Structures v.14 n.9 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78253327info:eu-repo/semantics/openAccessKhan,M. SabeelKaneez,H.eng2017-10-03T00:00:00Zoai:scielo:S1679-78252017000901695Revistahttp://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:2017-10-03T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
title Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
spellingShingle Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
Khan,M. Sabeel
Nonlinear vibration
Euler-Bernoulli beams
Time discretization
Numerical method
title_short Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
title_full Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
title_fullStr Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
title_full_unstemmed Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
title_sort Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
author Khan,M. Sabeel
author_facet Khan,M. Sabeel
Kaneez,H.
author_role author
author2 Kaneez,H.
author2_role author
dc.contributor.author.fl_str_mv Khan,M. Sabeel
Kaneez,H.
dc.subject.por.fl_str_mv Nonlinear vibration
Euler-Bernoulli beams
Time discretization
Numerical method
topic Nonlinear vibration
Euler-Bernoulli beams
Time discretization
Numerical method
description Abstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employed in order to investigate the vibrational response. A comparison is made between present method and different other methods available in literature. It is observed that the obtained results are in strong agreement with other results in literature. We conclude that the present method has a great potential to deal with nonlinear vibration analysis problems of beams and related structures like rods and shafts.
publishDate 2017
dc.date.none.fl_str_mv 2017-09-01
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=S1679-78252017000901695
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901695
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253327
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.14 n.9 2017
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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