Model Reduction of Nonlinear Aeroelastic Systems Experiencing Hopf Bifurcation

Handle URI:
http://hdl.handle.net/10754/550994
Title:
Model Reduction of Nonlinear Aeroelastic Systems Experiencing Hopf Bifurcation
Authors:
Abdelkefi, Abdessattar; Ghommem, Mehdi
Abstract:
In this paper, we employ the normal form to derive a reduced - order model that reproduces nonlinear dynamical behavior of aeroelastic systems that undergo Hopf bifurcation. As an example, we consider a rigid two - dimensional airfoil that is supported by nonlinear springs in the pitch and plunge directions and subjected to nonlinear aerodynamic loads. We apply the center manifold theorem on the governing equations to derive its normal form that constitutes a simplified representation of the aeroelastic sys tem near flutter onset (manifestation of Hopf bifurcation). Then, we use the normal form to identify a self - excited oscillator governed by a time - delay ordinary differential equation that approximates the dynamical behavior while reducing the dimension of the original system. Results obtained from this oscillator show a great capability to predict properly limit cycle oscillations that take place beyond and above flutter as compared with the original aeroelastic system.
KAUST Department:
Numerical Porous Media SRI Center (NumPor)
Citation:
A. Abdelkefi, M. Ghommem Model reduction of nonlinear aeroelastic systems experiencing Hopf bifurcation. Journal of Modeling, Simulation, Identification, and Control, 1 (2013), pp. 57–77
Publisher:
Columbia International Publishing
Journal:
Journal of Modeling, Simulation, Identification, and Control
Issue Date:
18-Jun-2013
DOI:
10.7726/jmsic.2013.1005
Type:
Article
ISSN:
2162-9633
Additional Links:
http://www.uscip.org/paper/jmsic/JMSIC%20-%20Model%20Reduction%20of%20Nonlinear%20Aeroelastic%20Systems%20Experiencing%20Hopf%20Bifurcation.pdf
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorAbdelkefi, Abdessattaren
dc.contributor.authorGhommem, Mehdien
dc.date.accessioned2015-04-30T13:48:27Zen
dc.date.available2015-04-30T13:48:27Zen
dc.date.issued2013-06-18en
dc.identifier.citationA. Abdelkefi, M. Ghommem Model reduction of nonlinear aeroelastic systems experiencing Hopf bifurcation. Journal of Modeling, Simulation, Identification, and Control, 1 (2013), pp. 57–77en
dc.identifier.issn2162-9633en
dc.identifier.doi10.7726/jmsic.2013.1005en
dc.identifier.urihttp://hdl.handle.net/10754/550994en
dc.description.abstractIn this paper, we employ the normal form to derive a reduced - order model that reproduces nonlinear dynamical behavior of aeroelastic systems that undergo Hopf bifurcation. As an example, we consider a rigid two - dimensional airfoil that is supported by nonlinear springs in the pitch and plunge directions and subjected to nonlinear aerodynamic loads. We apply the center manifold theorem on the governing equations to derive its normal form that constitutes a simplified representation of the aeroelastic sys tem near flutter onset (manifestation of Hopf bifurcation). Then, we use the normal form to identify a self - excited oscillator governed by a time - delay ordinary differential equation that approximates the dynamical behavior while reducing the dimension of the original system. Results obtained from this oscillator show a great capability to predict properly limit cycle oscillations that take place beyond and above flutter as compared with the original aeroelastic system.en
dc.publisherColumbia International Publishingen
dc.relation.urlhttp://www.uscip.org/paper/jmsic/JMSIC%20-%20Model%20Reduction%20of%20Nonlinear%20Aeroelastic%20Systems%20Experiencing%20Hopf%20Bifurcation.pdfen
dc.rightsThis paper published using the Open Access Model are distributed under the Creative Commons Attribution License.http://creativecommons.org/licenses/by/2.5/en
dc.subjectModel reductionen
dc.subjectNonlinear systemsen
dc.subjectSelf - excited oscillatoren
dc.subjectTime - delay differential equationen
dc.titleModel Reduction of Nonlinear Aeroelastic Systems Experiencing Hopf Bifurcationen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalJournal of Modeling, Simulation, Identification, and Controlen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA 24061, USAen
kaust.authorGhommem, Mehdien
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