Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams

Detalhes bibliográficos
Autor(a) principal: Lien,Tran Van
Data de Publicação: 2017
Outros Autores: Duc,Ngo Trong, Khiem,Nguyen Tien
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=S1679-78252017000901752
Resumo: Abstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual position of neutral plane. The frequency equation obtained was in a simple form, that provides an effective approach to study not only free vibration of the beams but also inverse problems like identification of material and crack parameters in structure. The obtained numerical results show good agreement with other previous published results. Thence, numerical computation has been carried out to investigate the effect of each crack, the number of cracks, material and geometric parameters on the natural frequencies of multiple cracked Timoshenko FGM beams.
id ABCM-1_fede995cde064395cd73bbc4783deab8
oai_identifier_str oai:scielo:S1679-78252017000901752
network_acronym_str ABCM-1
network_name_str Latin American journal of solids and structures (Online)
repository_id_str
spelling Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko BeamsTimoshenko beamFGMCrackRotational spring modelDSMNatural frequencyAbstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual position of neutral plane. The frequency equation obtained was in a simple form, that provides an effective approach to study not only free vibration of the beams but also inverse problems like identification of material and crack parameters in structure. The obtained numerical results show good agreement with other previous published results. Thence, numerical computation has been carried out to investigate the effect of each crack, the number of cracks, material and geometric parameters on the natural frequencies of multiple cracked Timoshenko FGM beams.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=S1679-78252017000901752Latin 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:ABCM10.1590/1679-78253693info:eu-repo/semantics/openAccessLien,Tran VanDuc,Ngo TrongKhiem,Nguyen Tieneng2017-10-03T00:00:00Zoai:scielo:S1679-78252017000901752Revistahttp://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 Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
spellingShingle Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
Lien,Tran Van
Timoshenko beam
FGM
Crack
Rotational spring model
DSM
Natural frequency
title_short Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_full Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_fullStr Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_full_unstemmed Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_sort Free Vibration Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
author Lien,Tran Van
author_facet Lien,Tran Van
Duc,Ngo Trong
Khiem,Nguyen Tien
author_role author
author2 Duc,Ngo Trong
Khiem,Nguyen Tien
author2_role author
author
dc.contributor.author.fl_str_mv Lien,Tran Van
Duc,Ngo Trong
Khiem,Nguyen Tien
dc.subject.por.fl_str_mv Timoshenko beam
FGM
Crack
Rotational spring model
DSM
Natural frequency
topic Timoshenko beam
FGM
Crack
Rotational spring model
DSM
Natural frequency
description Abstract In this paper, authors present the study of free vibration of bending multiple cracked functionally graded material (FGM) beam. Vibration equations of multiple cracked FGM beam were established by using the rotational spring model of cracks, dynamic stiffness method (DSM) and actual position of neutral plane. The frequency equation obtained was in a simple form, that provides an effective approach to study not only free vibration of the beams but also inverse problems like identification of material and crack parameters in structure. The obtained numerical results show good agreement with other previous published results. Thence, numerical computation has been carried out to investigate the effect of each crack, the number of cracks, material and geometric parameters on the natural frequencies of multiple cracked Timoshenko FGM beams.
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=S1679-78252017000901752
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000901752
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253693
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
_version_ 1754302889222733824