Parameter selection and covariance updating

Detalhes bibliográficos
Autor(a) principal: Silva, Tiago N. A.
Data de Publicação: 2016
Outros Autores: Maia, Nuno M. M., Link, Michael, Mottershead, John E.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/7402
Resumo: A simple expression is developed for covariance-matrix correction in stochastic model updating. The need for expensive forward propagation of uncertainty through the model is obviated by application of a formula based only on the sensitivity of the outputs at the end of a deterministic updating process carried out on the means of the parameters. Two previously published techniques are show to reduce to the same simple formula within the assumption of small perturbation about the mean. It is shown, using a simple numerical example, that deterministic updating of the parameter means can result in correct reconstruction of the output means even when the updating parameters are wrongly chosen. If the parameters are correctly chosen, then the covariance matrix of the outputs is correctly reconstructed, but when the parameters are wrongly chosen is found that the output covariance is generally not reconstructed accurately. Therefore, the selection of updating parameters on the basis of reconstructing the output means is not sufficient to ensure that the output covariances will be well reconstructed. Further theory is then developed by assessing the contribution of each candidate parameter to the output covariance matrix, thereby enabling the selection of updating parameters to ensure that both the output means and covariances are reconstructed by the updated model.
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spelling Parameter selection and covariance updatingStochastic model updatingCovariance matrixParameter selectionA simple expression is developed for covariance-matrix correction in stochastic model updating. The need for expensive forward propagation of uncertainty through the model is obviated by application of a formula based only on the sensitivity of the outputs at the end of a deterministic updating process carried out on the means of the parameters. Two previously published techniques are show to reduce to the same simple formula within the assumption of small perturbation about the mean. It is shown, using a simple numerical example, that deterministic updating of the parameter means can result in correct reconstruction of the output means even when the updating parameters are wrongly chosen. If the parameters are correctly chosen, then the covariance matrix of the outputs is correctly reconstructed, but when the parameters are wrongly chosen is found that the output covariance is generally not reconstructed accurately. Therefore, the selection of updating parameters on the basis of reconstructing the output means is not sufficient to ensure that the output covariances will be well reconstructed. Further theory is then developed by assessing the contribution of each candidate parameter to the output covariance matrix, thereby enabling the selection of updating parameters to ensure that both the output means and covariances are reconstructed by the updated model.ElsevierRCIPLSilva, Tiago N. A.Maia, Nuno M. M.Link, MichaelMottershead, John E.2017-09-29T10:08:15Z2016-032016-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/7402engSilva Tiago N. A. [et al] - Parameter selection and covariance updating. Mechanical Systems and Signal Processing. ISSN: 0888-3270. Vol. 70-71, (2016), pp. 269-2830888-327010.1016/j.ymssp.2015.08.034metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T09:53:26Zoai:repositorio.ipl.pt:10400.21/7402Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:16:21.779177Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Parameter selection and covariance updating
title Parameter selection and covariance updating
spellingShingle Parameter selection and covariance updating
Silva, Tiago N. A.
Stochastic model updating
Covariance matrix
Parameter selection
title_short Parameter selection and covariance updating
title_full Parameter selection and covariance updating
title_fullStr Parameter selection and covariance updating
title_full_unstemmed Parameter selection and covariance updating
title_sort Parameter selection and covariance updating
author Silva, Tiago N. A.
author_facet Silva, Tiago N. A.
Maia, Nuno M. M.
Link, Michael
Mottershead, John E.
author_role author
author2 Maia, Nuno M. M.
Link, Michael
Mottershead, John E.
author2_role author
author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Silva, Tiago N. A.
Maia, Nuno M. M.
Link, Michael
Mottershead, John E.
dc.subject.por.fl_str_mv Stochastic model updating
Covariance matrix
Parameter selection
topic Stochastic model updating
Covariance matrix
Parameter selection
description A simple expression is developed for covariance-matrix correction in stochastic model updating. The need for expensive forward propagation of uncertainty through the model is obviated by application of a formula based only on the sensitivity of the outputs at the end of a deterministic updating process carried out on the means of the parameters. Two previously published techniques are show to reduce to the same simple formula within the assumption of small perturbation about the mean. It is shown, using a simple numerical example, that deterministic updating of the parameter means can result in correct reconstruction of the output means even when the updating parameters are wrongly chosen. If the parameters are correctly chosen, then the covariance matrix of the outputs is correctly reconstructed, but when the parameters are wrongly chosen is found that the output covariance is generally not reconstructed accurately. Therefore, the selection of updating parameters on the basis of reconstructing the output means is not sufficient to ensure that the output covariances will be well reconstructed. Further theory is then developed by assessing the contribution of each candidate parameter to the output covariance matrix, thereby enabling the selection of updating parameters to ensure that both the output means and covariances are reconstructed by the updated model.
publishDate 2016
dc.date.none.fl_str_mv 2016-03
2016-03-01T00:00:00Z
2017-09-29T10:08:15Z
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://hdl.handle.net/10400.21/7402
url http://hdl.handle.net/10400.21/7402
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Silva Tiago N. A. [et al] - Parameter selection and covariance updating. Mechanical Systems and Signal Processing. ISSN: 0888-3270. Vol. 70-71, (2016), pp. 269-283
0888-3270
10.1016/j.ymssp.2015.08.034
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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