Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow
Joint Authors
Source
International Journal of Aerospace Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
An airfoil subjected to two-dimensional incompressible inviscid flow is considered.
The airfoil is supported via a translational and a torsional springs.
The aeroelastic integro-differential equations of motion for the airfoil are reformulated into a system of six first-order autonomous ordinary differential equations.
These are the simplest and least number of ODEs that can present this aeroelastic system.
The differential equations are then used for the bifurcation analysis of an airfoil with a structural nonlinearity in the pitch direction.
Sample bifurcation diagrams showing both stable and unstable limit cycle oscillation are presented.
The types of bifurcations are assessed by evaluating the Floquet multipliers.
For a specific case, a period doubling route to chaos was detected, and mildly chaotic behavior in a narrow range of velocity was confirmed via the calculation of the Lyapunov exponents.
American Psychological Association (APA)
Alighanbari, H.& Hashemi, S. M.. 2009. Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow. International Journal of Aerospace Engineering،Vol. 2009, no. 2009, pp.1-7.
https://search.emarefa.net/detail/BIM-457241
Modern Language Association (MLA)
Alighanbari, H.& Hashemi, S. M.. Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow. International Journal of Aerospace Engineering No. 2009 (2009), pp.1-7.
https://search.emarefa.net/detail/BIM-457241
American Medical Association (AMA)
Alighanbari, H.& Hashemi, S. M.. Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow. International Journal of Aerospace Engineering. 2009. Vol. 2009, no. 2009, pp.1-7.
https://search.emarefa.net/detail/BIM-457241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457241