Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system

We study the dynamics of a two- degree-of-freedom (pitch and plunge) aeroelastic system where the aerodynamic forces are modeled as a piecewise linear function of the effective angle of attack. Stability and bifurcations of equilibria are analyzed. We find border collision and rapid bifurcations. Bi...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-07, Vol.85 (2), p.739-750
Main Authors: Kalmár-Nagy, Tamás, Csikja, Rudolf, Elgohary, Tarek A.
Format: Article
Language:English
Subjects:
Aerodynamic forces
Aeroelasticity
Angle of attack
Automotive Engineering
Bifurcations
Chaos theory
Classical Mechanics
Control
Degrees of freedom
Dynamical Systems
Engineering
Linear functions
Mechanical Engineering
Nonlinear analysis
Original Paper
Stability analysis
Switches
Vibration
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Summary:We study the dynamics of a two- degree-of-freedom (pitch and plunge) aeroelastic system where the aerodynamic forces are modeled as a piecewise linear function of the effective angle of attack. Stability and bifurcations of equilibria are analyzed. We find border collision and rapid bifurcations. Bifurcation diagrams of the system were calculated utilizing MATCONT and Mathematica . Chaotic behavior with intermittent switches about the two nontrivial equilibria was also observed.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-2719-z