A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method

Detalhes bibliográficos
Autor(a) principal: Wu,Feng
Data de Publicação: 2015
Outros Autores: Gao,Qiang, Xu,Xiao-Ming, Zhong,Wan-Xie
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=S1679-78252015001302480
Resumo: Abstract A modified computational scheme of the stochastic perturbation finite element method (SPFEM) is developed for structures with low-level uncertainties. The proposed scheme can provide second-order estimates of the mean and variance without differentiating the system matrices with respect to the random variables. When the proposed scheme is used, it involves finite analyses of deterministic systems. In the case of one random variable with a symmetric probability density function, the proposed computational scheme can even provide a result with fifth-order accuracy. Compared with the traditional computational scheme of SPFEM, the proposed scheme is more convenient for numerical implementation. Four numerical examples demonstrate that the proposed scheme can be used in linear or nonlinear structures with correlated or uncorrelated random variables.
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spelling A Modified Computational Scheme for the Stochastic Perturbation Finite Element MethodStochastic finite element methodUncertain structuresPerturbationComputational schemeAbstract A modified computational scheme of the stochastic perturbation finite element method (SPFEM) is developed for structures with low-level uncertainties. The proposed scheme can provide second-order estimates of the mean and variance without differentiating the system matrices with respect to the random variables. When the proposed scheme is used, it involves finite analyses of deterministic systems. In the case of one random variable with a symmetric probability density function, the proposed computational scheme can even provide a result with fifth-order accuracy. Compared with the traditional computational scheme of SPFEM, the proposed scheme is more convenient for numerical implementation. Four numerical examples demonstrate that the proposed scheme can be used in linear or nonlinear structures with correlated or uncorrelated random variables.Associação Brasileira de Ciências Mecânicas2015-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001302480Latin American Journal of Solids and Structures v.12 n.13 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251772info:eu-repo/semantics/openAccessWu,FengGao,QiangXu,Xiao-MingZhong,Wan-Xieeng2015-12-17T00:00:00Zoai:scielo:S1679-78252015001302480Revistahttp://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:2015-12-17T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
title A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
spellingShingle A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
Wu,Feng
Stochastic finite element method
Uncertain structures
Perturbation
Computational scheme
title_short A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
title_full A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
title_fullStr A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
title_full_unstemmed A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
title_sort A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
author Wu,Feng
author_facet Wu,Feng
Gao,Qiang
Xu,Xiao-Ming
Zhong,Wan-Xie
author_role author
author2 Gao,Qiang
Xu,Xiao-Ming
Zhong,Wan-Xie
author2_role author
author
author
dc.contributor.author.fl_str_mv Wu,Feng
Gao,Qiang
Xu,Xiao-Ming
Zhong,Wan-Xie
dc.subject.por.fl_str_mv Stochastic finite element method
Uncertain structures
Perturbation
Computational scheme
topic Stochastic finite element method
Uncertain structures
Perturbation
Computational scheme
description Abstract A modified computational scheme of the stochastic perturbation finite element method (SPFEM) is developed for structures with low-level uncertainties. The proposed scheme can provide second-order estimates of the mean and variance without differentiating the system matrices with respect to the random variables. When the proposed scheme is used, it involves finite analyses of deterministic systems. In the case of one random variable with a symmetric probability density function, the proposed computational scheme can even provide a result with fifth-order accuracy. Compared with the traditional computational scheme of SPFEM, the proposed scheme is more convenient for numerical implementation. Four numerical examples demonstrate that the proposed scheme can be used in linear or nonlinear structures with correlated or uncorrelated random variables.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01
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=S1679-78252015001302480
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001302480
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78251772
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.12 n.13 2015
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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