Approximate solutions of large amplitude vibration of a string

Detalhes bibliográficos
Autor(a) principal: Mahabadi,Rayehe Karimi
Data de Publicação: 2018
Outros Autores: Pazhooh,Mitra Danesh
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=S1679-78252018000400500
Resumo: Abstract In the present study, the response of a flexible string with large amplitude transverse vibration is studied utilizing amplitude-frequency formulation, improved amplitude-frequency formulation and max-min approach. In order to verify the accuracy of these approaches, obtained results are compared with other methods such as variational approach method, variational iteration method, coupling Newton’s method with the harmonic balance method and Hamiltonian approach. It has been found that for this problem, while amplitude-frequency formulation and max-min approach give the same results, improved amplitude frequency formulation is not an appropriate choice.
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spelling Approximate solutions of large amplitude vibration of a stringnonlinear vibrationstringamplitude-frequency formulationimproved amplitude-frequency formulation and max-min approachAbstract In the present study, the response of a flexible string with large amplitude transverse vibration is studied utilizing amplitude-frequency formulation, improved amplitude-frequency formulation and max-min approach. In order to verify the accuracy of these approaches, obtained results are compared with other methods such as variational approach method, variational iteration method, coupling Newton’s method with the harmonic balance method and Hamiltonian approach. It has been found that for this problem, while amplitude-frequency formulation and max-min approach give the same results, improved amplitude frequency formulation is not an appropriate choice.Associação Brasileira de Ciências Mecânicas2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000400500Latin American Journal of Solids and Structures v.15 n.4 2018reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78254122info:eu-repo/semantics/openAccessMahabadi,Rayehe KarimiPazhooh,Mitra Danesheng2018-05-28T00:00:00Zoai:scielo:S1679-78252018000400500Revistahttp://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:2018-05-28T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Approximate solutions of large amplitude vibration of a string
title Approximate solutions of large amplitude vibration of a string
spellingShingle Approximate solutions of large amplitude vibration of a string
Mahabadi,Rayehe Karimi
nonlinear vibration
string
amplitude-frequency formulation
improved amplitude-frequency formulation and max-min approach
title_short Approximate solutions of large amplitude vibration of a string
title_full Approximate solutions of large amplitude vibration of a string
title_fullStr Approximate solutions of large amplitude vibration of a string
title_full_unstemmed Approximate solutions of large amplitude vibration of a string
title_sort Approximate solutions of large amplitude vibration of a string
author Mahabadi,Rayehe Karimi
author_facet Mahabadi,Rayehe Karimi
Pazhooh,Mitra Danesh
author_role author
author2 Pazhooh,Mitra Danesh
author2_role author
dc.contributor.author.fl_str_mv Mahabadi,Rayehe Karimi
Pazhooh,Mitra Danesh
dc.subject.por.fl_str_mv nonlinear vibration
string
amplitude-frequency formulation
improved amplitude-frequency formulation and max-min approach
topic nonlinear vibration
string
amplitude-frequency formulation
improved amplitude-frequency formulation and max-min approach
description Abstract In the present study, the response of a flexible string with large amplitude transverse vibration is studied utilizing amplitude-frequency formulation, improved amplitude-frequency formulation and max-min approach. In order to verify the accuracy of these approaches, obtained results are compared with other methods such as variational approach method, variational iteration method, coupling Newton’s method with the harmonic balance method and Hamiltonian approach. It has been found that for this problem, while amplitude-frequency formulation and max-min approach give the same results, improved amplitude frequency formulation is not an appropriate choice.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
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=S1679-78252018000400500
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000400500
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78254122
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.15 n.4 2018
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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