Vibration of plate on foundation with four edges free by finite cosine integral transform method

Detalhes bibliográficos
Autor(a) principal: Zhong,Yang
Data de Publicação: 2014
Outros Autores: Zhao,Xue-feng, Liu,Heng
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=S1679-78252014000500008
Resumo: The analytical solutions for the natural frequencies and mode shapes of the rectangular plate on foundation with four edges free is presented by using the finite cosine integral transform method. In the analysis procedure, the classical Kirchhoff rectangular plate is considered and the foundation is modelled as the Winkler elastic foundation. Because only are the basic dynamic elasticity equations of the thin plate on elastic foundation adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by present paper is reasonable and theoretical. In order to illuminate the correction of formulations, the numerical results are also presented to comparing with that of the other references.
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spelling Vibration of plate on foundation with four edges free by finite cosine integral transform methodElastic foundationRectangular plate with four edges freenatural frequencies Vibration mode shapesFinite cosine integral transformThe analytical solutions for the natural frequencies and mode shapes of the rectangular plate on foundation with four edges free is presented by using the finite cosine integral transform method. In the analysis procedure, the classical Kirchhoff rectangular plate is considered and the foundation is modelled as the Winkler elastic foundation. Because only are the basic dynamic elasticity equations of the thin plate on elastic foundation adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by present paper is reasonable and theoretical. In order to illuminate the correction of formulations, the numerical results are also presented to comparing with that of the other references.Associação Brasileira de Ciências Mecânicas2014-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500008Latin American Journal of Solids and Structures v.11 n.5 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000500008info:eu-repo/semantics/openAccessZhong,YangZhao,Xue-fengLiu,Hengeng2014-02-03T00:00:00Zoai:scielo:S1679-78252014000500008Revistahttp://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:2014-02-03T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Vibration of plate on foundation with four edges free by finite cosine integral transform method
title Vibration of plate on foundation with four edges free by finite cosine integral transform method
spellingShingle Vibration of plate on foundation with four edges free by finite cosine integral transform method
Zhong,Yang
Elastic foundation
Rectangular plate with four edges free
natural frequencies Vibration mode shapes
Finite cosine integral transform
title_short Vibration of plate on foundation with four edges free by finite cosine integral transform method
title_full Vibration of plate on foundation with four edges free by finite cosine integral transform method
title_fullStr Vibration of plate on foundation with four edges free by finite cosine integral transform method
title_full_unstemmed Vibration of plate on foundation with four edges free by finite cosine integral transform method
title_sort Vibration of plate on foundation with four edges free by finite cosine integral transform method
author Zhong,Yang
author_facet Zhong,Yang
Zhao,Xue-feng
Liu,Heng
author_role author
author2 Zhao,Xue-feng
Liu,Heng
author2_role author
author
dc.contributor.author.fl_str_mv Zhong,Yang
Zhao,Xue-feng
Liu,Heng
dc.subject.por.fl_str_mv Elastic foundation
Rectangular plate with four edges free
natural frequencies Vibration mode shapes
Finite cosine integral transform
topic Elastic foundation
Rectangular plate with four edges free
natural frequencies Vibration mode shapes
Finite cosine integral transform
description The analytical solutions for the natural frequencies and mode shapes of the rectangular plate on foundation with four edges free is presented by using the finite cosine integral transform method. In the analysis procedure, the classical Kirchhoff rectangular plate is considered and the foundation is modelled as the Winkler elastic foundation. Because only are the basic dynamic elasticity equations of the thin plate on elastic foundation adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by present paper is reasonable and theoretical. In order to illuminate the correction of formulations, the numerical results are also presented to comparing with that of the other references.
publishDate 2014
dc.date.none.fl_str_mv 2014-10-01
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=S1679-78252014000500008
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252014000500008
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.11 n.5 2014
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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