Structural dynamic analysis for time response of bars and trusses using the generalized finite element method
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | |
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=S1679-78252012000300001 |
Resumo: | The Generalized Finite Element Method (GFEM) can be viewed as an extension of the Finite Element Method (FEM) where the approximation space is enriched by shape functions appropriately chosen. Many applications of the GFEM can be found in literature, mostly when some information about the solution is known a priori. This paper presents the application of the GFEM to the problem of structural dynamic analysis of bars subject to axial displacements and trusses for the evaluation of the time response of the structure. Since the analytical solution of this problem is composed, in most cases, of a trigonometric series, the enrichment used in this paper is based on sine and cosine functions. Modal Superposition and the Newmark Method are used for the time integration procedure. Five examples are studied and the analytical solution is presented for two of them. The results are compared to the ones obtained with the FEM using linear elements and a Hierarchical Finite Element Method (HFEM) using higher order elements. |
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Latin American journal of solids and structures (Online) |
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Structural dynamic analysis for time response of bars and trusses using the generalized finite element methoddynamic analysisstructural dynamicstime responsehierarchical finite element methodgeneralized finite element methodpartition of unity methodThe Generalized Finite Element Method (GFEM) can be viewed as an extension of the Finite Element Method (FEM) where the approximation space is enriched by shape functions appropriately chosen. Many applications of the GFEM can be found in literature, mostly when some information about the solution is known a priori. This paper presents the application of the GFEM to the problem of structural dynamic analysis of bars subject to axial displacements and trusses for the evaluation of the time response of the structure. Since the analytical solution of this problem is composed, in most cases, of a trigonometric series, the enrichment used in this paper is based on sine and cosine functions. Modal Superposition and the Newmark Method are used for the time integration procedure. Five examples are studied and the analytical solution is presented for two of them. The results are compared to the ones obtained with the FEM using linear elements and a Hierarchical Finite Element Method (HFEM) using higher order elements.Associação Brasileira de Ciências Mecânicas2012-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252012000300001Latin American Journal of Solids and Structures v.9 n.3 2012reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252012000300001info:eu-repo/semantics/openAccessTorii,André JacomelMachado,Roberto Dalledoneeng2013-01-17T00:00:00Zoai:scielo:S1679-78252012000300001Revistahttp://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:2013-01-17T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
title |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
spellingShingle |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method Torii,André Jacomel dynamic analysis structural dynamics time response hierarchical finite element method generalized finite element method partition of unity method |
title_short |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
title_full |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
title_fullStr |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
title_full_unstemmed |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
title_sort |
Structural dynamic analysis for time response of bars and trusses using the generalized finite element method |
author |
Torii,André Jacomel |
author_facet |
Torii,André Jacomel Machado,Roberto Dalledone |
author_role |
author |
author2 |
Machado,Roberto Dalledone |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Torii,André Jacomel Machado,Roberto Dalledone |
dc.subject.por.fl_str_mv |
dynamic analysis structural dynamics time response hierarchical finite element method generalized finite element method partition of unity method |
topic |
dynamic analysis structural dynamics time response hierarchical finite element method generalized finite element method partition of unity method |
description |
The Generalized Finite Element Method (GFEM) can be viewed as an extension of the Finite Element Method (FEM) where the approximation space is enriched by shape functions appropriately chosen. Many applications of the GFEM can be found in literature, mostly when some information about the solution is known a priori. This paper presents the application of the GFEM to the problem of structural dynamic analysis of bars subject to axial displacements and trusses for the evaluation of the time response of the structure. Since the analytical solution of this problem is composed, in most cases, of a trigonometric series, the enrichment used in this paper is based on sine and cosine functions. Modal Superposition and the Newmark Method are used for the time integration procedure. Five examples are studied and the analytical solution is presented for two of them. The results are compared to the ones obtained with the FEM using linear elements and a Hierarchical Finite Element Method (HFEM) using higher order elements. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-06-01 |
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=S1679-78252012000300001 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252012000300001 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252012000300001 |
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.9 n.3 2012 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_ |
1754302886895943680 |