Flutter analysis including structural uncertainties using a relaxed LMI-based approach
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s40430-023-04091-3 http://hdl.handle.net/11449/247000 |
Resumo: | This paper proposes a new approach to investigate the flutter phenomenon considering structural frequencies as uncertain parameters. An affine parameter state space model is used to describe the aeroelastic system and linear matrix inequalities (LMI) are employed to solve the stability analysis with a relaxation on the inequalities. Uncertainties are present during the design phases of an aircraft as well as when considering an operational set of similar aircraft. In the first case, uncertain aeroelastic models have great potential to reduce computational costs during the design phases, and, in the second one, to provide robust aeroelastic predictions under uncertain operational quantities of a set of aircraft. In this work, uncertain aeroelastic predictions for a three-degrees-of-freedom typical section obtained from the relaxed approach are compared to predictions considering the quadratic Lyapunov approach. In the first case, the structural modal frequency of a single degree-of-freedom is considered uncertain. In the second one, all degrees-of-freedom are uncertain. In all cases, the numerical results show that the relaxed approach proposed in this work is less conservative than the quadratic Lyapunov approach, providing a useful tool for flutter analysis including structural uncertainties. |
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Repositório Institucional da UNESP |
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Flutter analysis including structural uncertainties using a relaxed LMI-based approachAeroelasticityFlutterLinear Matrix InequalitiesQuadratic stabilityRelaxationStabilityStructural uncertaintyThis paper proposes a new approach to investigate the flutter phenomenon considering structural frequencies as uncertain parameters. An affine parameter state space model is used to describe the aeroelastic system and linear matrix inequalities (LMI) are employed to solve the stability analysis with a relaxation on the inequalities. Uncertainties are present during the design phases of an aircraft as well as when considering an operational set of similar aircraft. In the first case, uncertain aeroelastic models have great potential to reduce computational costs during the design phases, and, in the second one, to provide robust aeroelastic predictions under uncertain operational quantities of a set of aircraft. In this work, uncertain aeroelastic predictions for a three-degrees-of-freedom typical section obtained from the relaxed approach are compared to predictions considering the quadratic Lyapunov approach. In the first case, the structural modal frequency of a single degree-of-freedom is considered uncertain. In the second one, all degrees-of-freedom are uncertain. In all cases, the numerical results show that the relaxed approach proposed in this work is less conservative than the quadratic Lyapunov approach, providing a useful tool for flutter analysis including structural uncertainties.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Mechanical Engineering São Paulo State University (Unesp), Av. Brasil, São PauloDepartment of Aeronautical Engineering University of São Paulo (USP), Av. João Dagnone, São PauloDepartment of Mechanical Engineering São Paulo State University (Unesp), Av. Brasil, São PauloFAPESP: 2019/24729-6CNPq: 314151/2021-4Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Ribeiro, Frederico A. [UNESP]De Marqui Júnior, CarlosBueno, Douglas D. [UNESP]2023-07-29T12:56:20Z2023-07-29T12:56:20Z2023-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s40430-023-04091-3Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 45, n. 4, 2023.1806-36911678-5878http://hdl.handle.net/11449/24700010.1007/s40430-023-04091-32-s2.0-85149997710Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciences and Engineeringinfo:eu-repo/semantics/openAccess2023-07-29T12:56:20Zoai:repositorio.unesp.br:11449/247000Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T12:56:20Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
title |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
spellingShingle |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach Ribeiro, Frederico A. [UNESP] Aeroelasticity Flutter Linear Matrix Inequalities Quadratic stability Relaxation Stability Structural uncertainty |
title_short |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
title_full |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
title_fullStr |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
title_full_unstemmed |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
title_sort |
Flutter analysis including structural uncertainties using a relaxed LMI-based approach |
author |
Ribeiro, Frederico A. [UNESP] |
author_facet |
Ribeiro, Frederico A. [UNESP] De Marqui Júnior, Carlos Bueno, Douglas D. [UNESP] |
author_role |
author |
author2 |
De Marqui Júnior, Carlos Bueno, Douglas D. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Ribeiro, Frederico A. [UNESP] De Marqui Júnior, Carlos Bueno, Douglas D. [UNESP] |
dc.subject.por.fl_str_mv |
Aeroelasticity Flutter Linear Matrix Inequalities Quadratic stability Relaxation Stability Structural uncertainty |
topic |
Aeroelasticity Flutter Linear Matrix Inequalities Quadratic stability Relaxation Stability Structural uncertainty |
description |
This paper proposes a new approach to investigate the flutter phenomenon considering structural frequencies as uncertain parameters. An affine parameter state space model is used to describe the aeroelastic system and linear matrix inequalities (LMI) are employed to solve the stability analysis with a relaxation on the inequalities. Uncertainties are present during the design phases of an aircraft as well as when considering an operational set of similar aircraft. In the first case, uncertain aeroelastic models have great potential to reduce computational costs during the design phases, and, in the second one, to provide robust aeroelastic predictions under uncertain operational quantities of a set of aircraft. In this work, uncertain aeroelastic predictions for a three-degrees-of-freedom typical section obtained from the relaxed approach are compared to predictions considering the quadratic Lyapunov approach. In the first case, the structural modal frequency of a single degree-of-freedom is considered uncertain. In the second one, all degrees-of-freedom are uncertain. In all cases, the numerical results show that the relaxed approach proposed in this work is less conservative than the quadratic Lyapunov approach, providing a useful tool for flutter analysis including structural uncertainties. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T12:56:20Z 2023-07-29T12:56:20Z 2023-04-01 |
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/10.1007/s40430-023-04091-3 Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 45, n. 4, 2023. 1806-3691 1678-5878 http://hdl.handle.net/11449/247000 10.1007/s40430-023-04091-3 2-s2.0-85149997710 |
url |
http://dx.doi.org/10.1007/s40430-023-04091-3 http://hdl.handle.net/11449/247000 |
identifier_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 45, n. 4, 2023. 1806-3691 1678-5878 10.1007/s40430-023-04091-3 2-s2.0-85149997710 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus 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_ |
1792962453928148992 |