Dynamic stationary response of reinforced plates by the boundary element method
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1155/2007/62157 http://hdl.handle.net/11449/10506 |
Resumo: | A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM). |
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Repositório Institucional da UNESP |
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Dynamic stationary response of reinforced plates by the boundary element methodA direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM).Univ Estadual Paulista, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilUniv Estadual Campinas, Dept Computat Mech, BR-13083970 Campinas, SP, BrazilUniv Estadual Campinas, Dept Struct, BR-13083970 Campinas, SP, BrazilUniv Estadual Paulista, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilHindawi Publishing CorporationUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Sanches, Luiz Carlos FacundoMesquita, EuclidesPavanello, RenatoPalermo, Leandro2014-05-20T13:30:52Z2014-05-20T13:30:52Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article17application/pdfhttp://dx.doi.org/10.1155/2007/62157Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, 17 p., 2007.1024-123Xhttp://hdl.handle.net/11449/1050610.1155/2007/62157WOS:000247596800001WOS000247596800001.pdf9154336767369306Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.145info:eu-repo/semantics/openAccess2024-07-10T15:41:35Zoai:repositorio.unesp.br:11449/10506Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:45:15.952095Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dynamic stationary response of reinforced plates by the boundary element method |
title |
Dynamic stationary response of reinforced plates by the boundary element method |
spellingShingle |
Dynamic stationary response of reinforced plates by the boundary element method Sanches, Luiz Carlos Facundo |
title_short |
Dynamic stationary response of reinforced plates by the boundary element method |
title_full |
Dynamic stationary response of reinforced plates by the boundary element method |
title_fullStr |
Dynamic stationary response of reinforced plates by the boundary element method |
title_full_unstemmed |
Dynamic stationary response of reinforced plates by the boundary element method |
title_sort |
Dynamic stationary response of reinforced plates by the boundary element method |
author |
Sanches, Luiz Carlos Facundo |
author_facet |
Sanches, Luiz Carlos Facundo Mesquita, Euclides Pavanello, Renato Palermo, Leandro |
author_role |
author |
author2 |
Mesquita, Euclides Pavanello, Renato Palermo, Leandro |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Sanches, Luiz Carlos Facundo Mesquita, Euclides Pavanello, Renato Palermo, Leandro |
description |
A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM). |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-01-01 2014-05-20T13:30:52Z 2014-05-20T13:30:52Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1155/2007/62157 Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, 17 p., 2007. 1024-123X http://hdl.handle.net/11449/10506 10.1155/2007/62157 WOS:000247596800001 WOS000247596800001.pdf 9154336767369306 |
url |
http://dx.doi.org/10.1155/2007/62157 http://hdl.handle.net/11449/10506 |
identifier_str_mv |
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, 17 p., 2007. 1024-123X 10.1155/2007/62157 WOS:000247596800001 WOS000247596800001.pdf 9154336767369306 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematical Problems in Engineering 1.145 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
17 application/pdf |
dc.publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128271926165504 |