An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders

Detalhes bibliográficos
Autor(a) principal: Movahedian,Bashir
Data de Publicação: 2017
Outros Autores: Botshekan,Meshkat
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=S1679-78252017000901741
Resumo: Abstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.
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spelling An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled CylindersForced vibrationThick-walled cylindersAnalytical time domain solutionPolar orthotropyAbstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.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=S1679-78252017000901741Latin 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:ABCM10.1590/1679-78253549info:eu-repo/semantics/openAccessMovahedian,BashirBotshekan,Meshkateng2017-10-03T00:00:00Zoai:scielo:S1679-78252017000901741Revistahttp://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 An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
title An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
spellingShingle An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
Movahedian,Bashir
Forced vibration
Thick-walled cylinders
Analytical time domain solution
Polar orthotropy
title_short An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
title_full An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
title_fullStr An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
title_full_unstemmed An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
title_sort An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders
author Movahedian,Bashir
author_facet Movahedian,Bashir
Botshekan,Meshkat
author_role author
author2 Botshekan,Meshkat
author2_role author
dc.contributor.author.fl_str_mv Movahedian,Bashir
Botshekan,Meshkat
dc.subject.por.fl_str_mv Forced vibration
Thick-walled cylinders
Analytical time domain solution
Polar orthotropy
topic Forced vibration
Thick-walled cylinders
Analytical time domain solution
Polar orthotropy
description Abstract In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.
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=S1679-78252017000901741
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901741
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253549
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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