The use of Gramian matrices for aeroelastic stability analysis
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1155/2013/941689 http://hdl.handle.net/11449/75388 |
Resumo: | Most of the established procedures for analysis of aeroelastic flutter in the development of aircraft are based on frequency domain methods. Proposing new methodologies in this field is always a challenge, because the new methods need to be validated by many experimental procedures. With the interest for new flight control systems and nonlinear behavior of aeroelastic structures, other strategies may be necessary to complete the analysis of such systems. If the aeroelastic model can be written in time domain, using state-space formulation, for instance, then many of the tools used in stability analysis of dynamic systems may be used to help providing an insight into the aeroelastic phenomenon. In this respect, this paper presents a discussion on the use of Gramian matrices to determine conditions of aeroelastic flutter. The main goal of this work is to introduce how observability gramian matrix can be used to identify the system instability. To explain the approach, the theory is outlined and simulations are carried out on two benchmark problems. Results are compared with classical methods to validate the approach and a reduction of computational time is obtained for the second example. © 2013 Douglas Domingues Bueno et al. |
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The use of Gramian matrices for aeroelastic stability analysisAeroelastic flutterAeroelastic phenomenonAeroelastic stability analysisAeroelastic structuresExperimental procedureFrequency-domain methodsObservability GramianState space formulationFlutter (aerodynamics)Frequency domain analysisState space methodsSystem stabilityAeroelasticityMost of the established procedures for analysis of aeroelastic flutter in the development of aircraft are based on frequency domain methods. Proposing new methodologies in this field is always a challenge, because the new methods need to be validated by many experimental procedures. With the interest for new flight control systems and nonlinear behavior of aeroelastic structures, other strategies may be necessary to complete the analysis of such systems. If the aeroelastic model can be written in time domain, using state-space formulation, for instance, then many of the tools used in stability analysis of dynamic systems may be used to help providing an insight into the aeroelastic phenomenon. In this respect, this paper presents a discussion on the use of Gramian matrices to determine conditions of aeroelastic flutter. The main goal of this work is to introduce how observability gramian matrix can be used to identify the system instability. To explain the approach, the theory is outlined and simulations are carried out on two benchmark problems. Results are compared with classical methods to validate the approach and a reduction of computational time is obtained for the second example. © 2013 Douglas Domingues Bueno et al.Technological Institute of Aeronautics (ITA), 12 228 900 São José dos Campos, SPUniversidade Estadual Paulista (UNESP), 17 033 360 Bauru, SPUniversidade Estadual Paulista (UNESP), 17 033 360 Bauru, SPInstituto Tecnológico de Aeronáutica (ITA)Universidade Estadual Paulista (Unesp)Bueno, Douglas DominguesMarqui, Clayton RodrigoSandoval Góes, Luiz CarlosGonçalves, Paulo José Paupitz [UNESP]2014-05-27T11:29:29Z2014-05-27T11:29:29Z2013-05-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1155/2013/941689Mathematical Problems in Engineering, v. 2013.1024-123X1563-5147http://hdl.handle.net/11449/7538810.1155/2013/941689WOS:0003178197000012-s2.0-848773032202-s2.0-84877303220.pdf56436355596433120000-0001-7983-5665Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.1450,268info:eu-repo/semantics/openAccess2023-10-25T06:12:41Zoai:repositorio.unesp.br:11449/75388Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-25T06:12:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The use of Gramian matrices for aeroelastic stability analysis |
title |
The use of Gramian matrices for aeroelastic stability analysis |
spellingShingle |
The use of Gramian matrices for aeroelastic stability analysis Bueno, Douglas Domingues Aeroelastic flutter Aeroelastic phenomenon Aeroelastic stability analysis Aeroelastic structures Experimental procedure Frequency-domain methods Observability Gramian State space formulation Flutter (aerodynamics) Frequency domain analysis State space methods System stability Aeroelasticity |
title_short |
The use of Gramian matrices for aeroelastic stability analysis |
title_full |
The use of Gramian matrices for aeroelastic stability analysis |
title_fullStr |
The use of Gramian matrices for aeroelastic stability analysis |
title_full_unstemmed |
The use of Gramian matrices for aeroelastic stability analysis |
title_sort |
The use of Gramian matrices for aeroelastic stability analysis |
author |
Bueno, Douglas Domingues |
author_facet |
Bueno, Douglas Domingues Marqui, Clayton Rodrigo Sandoval Góes, Luiz Carlos Gonçalves, Paulo José Paupitz [UNESP] |
author_role |
author |
author2 |
Marqui, Clayton Rodrigo Sandoval Góes, Luiz Carlos Gonçalves, Paulo José Paupitz [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Instituto Tecnológico de Aeronáutica (ITA) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Bueno, Douglas Domingues Marqui, Clayton Rodrigo Sandoval Góes, Luiz Carlos Gonçalves, Paulo José Paupitz [UNESP] |
dc.subject.por.fl_str_mv |
Aeroelastic flutter Aeroelastic phenomenon Aeroelastic stability analysis Aeroelastic structures Experimental procedure Frequency-domain methods Observability Gramian State space formulation Flutter (aerodynamics) Frequency domain analysis State space methods System stability Aeroelasticity |
topic |
Aeroelastic flutter Aeroelastic phenomenon Aeroelastic stability analysis Aeroelastic structures Experimental procedure Frequency-domain methods Observability Gramian State space formulation Flutter (aerodynamics) Frequency domain analysis State space methods System stability Aeroelasticity |
description |
Most of the established procedures for analysis of aeroelastic flutter in the development of aircraft are based on frequency domain methods. Proposing new methodologies in this field is always a challenge, because the new methods need to be validated by many experimental procedures. With the interest for new flight control systems and nonlinear behavior of aeroelastic structures, other strategies may be necessary to complete the analysis of such systems. If the aeroelastic model can be written in time domain, using state-space formulation, for instance, then many of the tools used in stability analysis of dynamic systems may be used to help providing an insight into the aeroelastic phenomenon. In this respect, this paper presents a discussion on the use of Gramian matrices to determine conditions of aeroelastic flutter. The main goal of this work is to introduce how observability gramian matrix can be used to identify the system instability. To explain the approach, the theory is outlined and simulations are carried out on two benchmark problems. Results are compared with classical methods to validate the approach and a reduction of computational time is obtained for the second example. © 2013 Douglas Domingues Bueno et al. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-05-13 2014-05-27T11:29:29Z 2014-05-27T11:29:29Z |
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/10.1155/2013/941689 Mathematical Problems in Engineering, v. 2013. 1024-123X 1563-5147 http://hdl.handle.net/11449/75388 10.1155/2013/941689 WOS:000317819700001 2-s2.0-84877303220 2-s2.0-84877303220.pdf 5643635559643312 0000-0001-7983-5665 |
url |
http://dx.doi.org/10.1155/2013/941689 http://hdl.handle.net/11449/75388 |
identifier_str_mv |
Mathematical Problems in Engineering, v. 2013. 1024-123X 1563-5147 10.1155/2013/941689 WOS:000317819700001 2-s2.0-84877303220 2-s2.0-84877303220.pdf 5643635559643312 0000-0001-7983-5665 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematical Problems in Engineering 1.145 0,268 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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 |
|
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1792961648616538112 |