Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.ast.2015.12.022 http://hdl.handle.net/11449/168283 |
Resumo: | This paper presents an investigation about the dynamic response of a three-degree of freedom airfoil with hardening nonlinearity in the pitching stiffness and free-play nonlinearity in the control surface stiffness using bifurcation and HOS analysis. An experimental apparatus was conceived to test an airfoil aeroelastic responses when nonlinearities of varying intensities are present. A numerical model is also used to simulate at the same conditions of the experimental tests. It is based on the classical theory for the linear unsteady aerodynamics with corrections for arbitrary motions coupled to a three-degree of freedom typical aeroelastic section, where the hardening effect is modeled by means of rational polynomial function, while the free-play is represented by hyperbolic functions combination. Aeroelastic responses are analyzed from numerical and experimental results. Hopf bifurcations are identified and diagrams of amplitudes versus airspeeds are used to investigate the conditions in which the system is supercritical or subcritical. Higher-order spectra analysis is also used to check on frequency couplings, thereby allowing to identify quadratic- and cubic-like nonlinear behavior. The study of the phenomena associated with the hardening, free-play and their intensity variation effects may be useful in the mitigation of undesired responses of aeroelastic systems. |
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Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic sectionAeroelasticityFlutterFree-play nonlinearityHardening nonlinearityHigher-order spectraHopf bifurcationThis paper presents an investigation about the dynamic response of a three-degree of freedom airfoil with hardening nonlinearity in the pitching stiffness and free-play nonlinearity in the control surface stiffness using bifurcation and HOS analysis. An experimental apparatus was conceived to test an airfoil aeroelastic responses when nonlinearities of varying intensities are present. A numerical model is also used to simulate at the same conditions of the experimental tests. It is based on the classical theory for the linear unsteady aerodynamics with corrections for arbitrary motions coupled to a three-degree of freedom typical aeroelastic section, where the hardening effect is modeled by means of rational polynomial function, while the free-play is represented by hyperbolic functions combination. Aeroelastic responses are analyzed from numerical and experimental results. Hopf bifurcations are identified and diagrams of amplitudes versus airspeeds are used to investigate the conditions in which the system is supercritical or subcritical. Higher-order spectra analysis is also used to check on frequency couplings, thereby allowing to identify quadratic- and cubic-like nonlinear behavior. The study of the phenomena associated with the hardening, free-play and their intensity variation effects may be useful in the mitigation of undesired responses of aeroelastic systems.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Engineering School of São Carlos University of São PauloSão Paulo State University (UNESP)Virginia TechSão Paulo State University (UNESP)CNPq: 574001/2008-5Universidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Virginia TechPereira, Daniel A.Vasconcellos, Rui M.G. [UNESP]Hajj, Muhammad R.Marques, Flávio D.2018-12-11T16:40:35Z2018-12-11T16:40:35Z2016-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article44-54application/pdfhttp://dx.doi.org/10.1016/j.ast.2015.12.022Aerospace Science and Technology, v. 50, p. 44-54.1270-9638http://hdl.handle.net/11449/16828310.1016/j.ast.2015.12.0222-s2.0-849537404732-s2.0-84953740473.pdf03479922475174420000-0001-7288-5408Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAerospace Science and Technology0,796info:eu-repo/semantics/openAccess2024-01-05T06:26:41Zoai:repositorio.unesp.br:11449/168283Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:11:42.608229Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
title |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
spellingShingle |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section Pereira, Daniel A. Aeroelasticity Flutter Free-play nonlinearity Hardening nonlinearity Higher-order spectra Hopf bifurcation |
title_short |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
title_full |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
title_fullStr |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
title_full_unstemmed |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
title_sort |
Effects of combined hardening and free-play nonlinearities on the response of a typical aeroelastic section |
author |
Pereira, Daniel A. |
author_facet |
Pereira, Daniel A. Vasconcellos, Rui M.G. [UNESP] Hajj, Muhammad R. Marques, Flávio D. |
author_role |
author |
author2 |
Vasconcellos, Rui M.G. [UNESP] Hajj, Muhammad R. Marques, Flávio D. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) Virginia Tech |
dc.contributor.author.fl_str_mv |
Pereira, Daniel A. Vasconcellos, Rui M.G. [UNESP] Hajj, Muhammad R. Marques, Flávio D. |
dc.subject.por.fl_str_mv |
Aeroelasticity Flutter Free-play nonlinearity Hardening nonlinearity Higher-order spectra Hopf bifurcation |
topic |
Aeroelasticity Flutter Free-play nonlinearity Hardening nonlinearity Higher-order spectra Hopf bifurcation |
description |
This paper presents an investigation about the dynamic response of a three-degree of freedom airfoil with hardening nonlinearity in the pitching stiffness and free-play nonlinearity in the control surface stiffness using bifurcation and HOS analysis. An experimental apparatus was conceived to test an airfoil aeroelastic responses when nonlinearities of varying intensities are present. A numerical model is also used to simulate at the same conditions of the experimental tests. It is based on the classical theory for the linear unsteady aerodynamics with corrections for arbitrary motions coupled to a three-degree of freedom typical aeroelastic section, where the hardening effect is modeled by means of rational polynomial function, while the free-play is represented by hyperbolic functions combination. Aeroelastic responses are analyzed from numerical and experimental results. Hopf bifurcations are identified and diagrams of amplitudes versus airspeeds are used to investigate the conditions in which the system is supercritical or subcritical. Higher-order spectra analysis is also used to check on frequency couplings, thereby allowing to identify quadratic- and cubic-like nonlinear behavior. The study of the phenomena associated with the hardening, free-play and their intensity variation effects may be useful in the mitigation of undesired responses of aeroelastic systems. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-03-01 2018-12-11T16:40:35Z 2018-12-11T16:40:35Z |
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/10.1016/j.ast.2015.12.022 Aerospace Science and Technology, v. 50, p. 44-54. 1270-9638 http://hdl.handle.net/11449/168283 10.1016/j.ast.2015.12.022 2-s2.0-84953740473 2-s2.0-84953740473.pdf 0347992247517442 0000-0001-7288-5408 |
url |
http://dx.doi.org/10.1016/j.ast.2015.12.022 http://hdl.handle.net/11449/168283 |
identifier_str_mv |
Aerospace Science and Technology, v. 50, p. 44-54. 1270-9638 10.1016/j.ast.2015.12.022 2-s2.0-84953740473 2-s2.0-84953740473.pdf 0347992247517442 0000-0001-7288-5408 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Aerospace Science and Technology 0,796 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
44-54 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 |
|
_version_ |
1808129402899267584 |