Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams

Detalhes bibliográficos
Autor(a) principal: Lien,Tran Van
Data de Publicação: 2017
Outros Autores: Đuc,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=S1679-78252017000701327
Resumo: Abstract The present paper addresses free vibration of multiple cracked Timoshenko beams made of Functionally Graded Material (FGM). Cracks are modeled by rotational spring of stiffness calculated from the crack depth and material properties vary according to the power law throughout the beam thickness. Governing equations for free vibration of the beam are formulated with taking into account actual position of the neutral plane. The obtained frequency equation and mode shapes are used for analysis of the beam mode shapes in dependence on the material and crack parameters. Numerical results validate usefulness of the proposed herein theory and show that mode shapes are good indication for detecting multiple cracks in Timoshenko FGM beams.
id ABCM-1_5588dd9c192a3e3348a560015fa1c5d7
oai_identifier_str oai:scielo:S1679-78252017000701327
network_acronym_str ABCM-1
network_name_str Latin American journal of solids and structures (Online)
repository_id_str
spelling Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko BeamsFGMCracked Timoshenko beamModal analysisMode shapeAbstract The present paper addresses free vibration of multiple cracked Timoshenko beams made of Functionally Graded Material (FGM). Cracks are modeled by rotational spring of stiffness calculated from the crack depth and material properties vary according to the power law throughout the beam thickness. Governing equations for free vibration of the beam are formulated with taking into account actual position of the neutral plane. The obtained frequency equation and mode shapes are used for analysis of the beam mode shapes in dependence on the material and crack parameters. Numerical results validate usefulness of the proposed herein theory and show that mode shapes are good indication for detecting multiple cracks in Timoshenko FGM beams.Associação Brasileira de Ciências Mecânicas2017-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000701327Latin American Journal of Solids and Structures v.14 n.7 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78253496info:eu-repo/semantics/openAccessLien,Tran VanĐuc,Ngo TrongKhiem,Nguyen Tieneng2017-08-22T00:00:00Zoai:scielo:S1679-78252017000701327Revistahttp://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:2017-08-22T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
spellingShingle Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
Lien,Tran Van
FGM
Cracked Timoshenko beam
Modal analysis
Mode shape
title_short Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_full Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_fullStr Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_full_unstemmed Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
title_sort Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
author Lien,Tran Van
author_facet Lien,Tran Van
Đuc,Ngo Trong
Khiem,Nguyen Tien
author_role author
author2 Đuc,Ngo Trong
Khiem,Nguyen Tien
author2_role author
author
dc.contributor.author.fl_str_mv Lien,Tran Van
Đuc,Ngo Trong
Khiem,Nguyen Tien
dc.subject.por.fl_str_mv FGM
Cracked Timoshenko beam
Modal analysis
Mode shape
topic FGM
Cracked Timoshenko beam
Modal analysis
Mode shape
description Abstract The present paper addresses free vibration of multiple cracked Timoshenko beams made of Functionally Graded Material (FGM). Cracks are modeled by rotational spring of stiffness calculated from the crack depth and material properties vary according to the power law throughout the beam thickness. Governing equations for free vibration of the beam are formulated with taking into account actual position of the neutral plane. The obtained frequency equation and mode shapes are used for analysis of the beam mode shapes in dependence on the material and crack parameters. Numerical results validate usefulness of the proposed herein theory and show that mode shapes are good indication for detecting multiple cracks in Timoshenko FGM beams.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-01
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=S1679-78252017000701327
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000701327
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253496
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.7 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_ 1754302889189179392

Registros relacionados