SORM DG - an efficient SORM based on differential geometry.
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFOP |
Texto Completo: | http://www.repositorio.ufop.br/handle/123456789/12414 https://doi.org/10.1590/0370-44672018720171 |
Resumo: | The first order reliability method (FORM) efficiently performs first order structural reliability analysis, but with limited accuracy. On the other hand, the traditional second order reliability method (SORM) was established to improve the results of FORM, but with a supplementary computational process. Proposed herein, is a new SORM, based on differential geometry making SORM more efficient without hindering accuracy. It can be used to perform the second order structural reliability analysis in engineering. A case in the geotechnical engineering field obtained from literature was solved aiming to demonstrate the ability of the analytical procedure via differential geometry. The advantages of the newly proposed approach whereby the reliability method by differential geometry (SORM DG) over the traditional SORM are discussed. The results show that the SORM DG optimizes the outcomes from FORM and achieves the accuracy of the traditional SORM, more efficiently. |
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Ferreira, Emmanoel GuastiFreitas, Marcílio Sousa da RochaPinto, José Antônio da RochaSisquini, Geraldo Rossoni2020-07-01T18:40:15Z2020-07-01T18:40:15Z2019FERREIRA, E. G. et al. SORM DG - an efficient SORM based on differential geometry. REM - International Engineering Journal, Ouro Preto, v. 72, n. 4, p. 589-600, out./dez. 2019. Disponível em: <http://www.scielo.br/scielo.php?pid=S2448-167X2019000500589&script=sci_abstract>. Acesso em: 10 mar. 2020.1807-0353http://www.repositorio.ufop.br/handle/123456789/12414https://doi.org/10.1590/0370-44672018720171The first order reliability method (FORM) efficiently performs first order structural reliability analysis, but with limited accuracy. On the other hand, the traditional second order reliability method (SORM) was established to improve the results of FORM, but with a supplementary computational process. Proposed herein, is a new SORM, based on differential geometry making SORM more efficient without hindering accuracy. It can be used to perform the second order structural reliability analysis in engineering. A case in the geotechnical engineering field obtained from literature was solved aiming to demonstrate the ability of the analytical procedure via differential geometry. The advantages of the newly proposed approach whereby the reliability method by differential geometry (SORM DG) over the traditional SORM are discussed. The results show that the SORM DG optimizes the outcomes from FORM and achieves the accuracy of the traditional SORM, more efficiently.A REM - International Engineering Journal - autoriza o depósito de cópia de artigos dos professores e alunos da UFOP no Repositório Institucional da UFOP. Licença concedida mediante preenchimento de formulário online em 12 set. 2013.info:eu-repo/semantics/openAccessFailure probabilityMain curvaturesSORM DG - an efficient SORM based on differential geometry.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-8924http://www.repositorio.ufop.br/bitstream/123456789/12414/2/license.txt62604f8d955274beb56c80ce1ee5dcaeMD52ORIGINALARTIGO_SORMDGEfficientSORM.pdfARTIGO_SORMDGEfficientSORM.pdfapplication/pdf2086881http://www.repositorio.ufop.br/bitstream/123456789/12414/1/ARTIGO_SORMDGEfficientSORM.pdfc89cff4b0a5494004cf6f73d42879662MD51123456789/124142020-07-01 14:40:15.25oai:localhost: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ório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332020-07-01T18:40:15Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.pt_BR.fl_str_mv |
SORM DG - an efficient SORM based on differential geometry. |
title |
SORM DG - an efficient SORM based on differential geometry. |
spellingShingle |
SORM DG - an efficient SORM based on differential geometry. Ferreira, Emmanoel Guasti Failure probability Main curvatures |
title_short |
SORM DG - an efficient SORM based on differential geometry. |
title_full |
SORM DG - an efficient SORM based on differential geometry. |
title_fullStr |
SORM DG - an efficient SORM based on differential geometry. |
title_full_unstemmed |
SORM DG - an efficient SORM based on differential geometry. |
title_sort |
SORM DG - an efficient SORM based on differential geometry. |
author |
Ferreira, Emmanoel Guasti |
author_facet |
Ferreira, Emmanoel Guasti Freitas, Marcílio Sousa da Rocha Pinto, José Antônio da Rocha Sisquini, Geraldo Rossoni |
author_role |
author |
author2 |
Freitas, Marcílio Sousa da Rocha Pinto, José Antônio da Rocha Sisquini, Geraldo Rossoni |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Ferreira, Emmanoel Guasti Freitas, Marcílio Sousa da Rocha Pinto, José Antônio da Rocha Sisquini, Geraldo Rossoni |
dc.subject.por.fl_str_mv |
Failure probability Main curvatures |
topic |
Failure probability Main curvatures |
description |
The first order reliability method (FORM) efficiently performs first order structural reliability analysis, but with limited accuracy. On the other hand, the traditional second order reliability method (SORM) was established to improve the results of FORM, but with a supplementary computational process. Proposed herein, is a new SORM, based on differential geometry making SORM more efficient without hindering accuracy. It can be used to perform the second order structural reliability analysis in engineering. A case in the geotechnical engineering field obtained from literature was solved aiming to demonstrate the ability of the analytical procedure via differential geometry. The advantages of the newly proposed approach whereby the reliability method by differential geometry (SORM DG) over the traditional SORM are discussed. The results show that the SORM DG optimizes the outcomes from FORM and achieves the accuracy of the traditional SORM, more efficiently. |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019 |
dc.date.accessioned.fl_str_mv |
2020-07-01T18:40:15Z |
dc.date.available.fl_str_mv |
2020-07-01T18:40:15Z |
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.citation.fl_str_mv |
FERREIRA, E. G. et al. SORM DG - an efficient SORM based on differential geometry. REM - International Engineering Journal, Ouro Preto, v. 72, n. 4, p. 589-600, out./dez. 2019. Disponível em: <http://www.scielo.br/scielo.php?pid=S2448-167X2019000500589&script=sci_abstract>. Acesso em: 10 mar. 2020. |
dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufop.br/handle/123456789/12414 |
dc.identifier.issn.none.fl_str_mv |
1807-0353 |
dc.identifier.doi.pt_BR.fl_str_mv |
https://doi.org/10.1590/0370-44672018720171 |
identifier_str_mv |
FERREIRA, E. G. et al. SORM DG - an efficient SORM based on differential geometry. REM - International Engineering Journal, Ouro Preto, v. 72, n. 4, p. 589-600, out./dez. 2019. Disponível em: <http://www.scielo.br/scielo.php?pid=S2448-167X2019000500589&script=sci_abstract>. Acesso em: 10 mar. 2020. 1807-0353 |
url |
http://www.repositorio.ufop.br/handle/123456789/12414 https://doi.org/10.1590/0370-44672018720171 |
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eng |
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eng |
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openAccess |
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