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Effect of uncertainty on the bifurcation behavior of pitching airfoil stall flutter
Published in
2009
Volume: 25
   
Issue: 2
Pages: 304 - 320
Abstract
In this paper the effect of system parametric uncertainty on the stall flutter bifurcation behavior of a pitching airfoil is studied. The aerodynamic moment on the two-dimensional rigid airfoil with nonlinear torsional stiffness is computed using the ONERA dynamic stall model. The pitch natural frequency, a cubic structural nonlinearity parameter, and the structural equilibrium angle are assumed to be uncertain. The effect on the amplitude of the response, the bifurcation of the probability distribution, and the flutter boundary is considered. It is demonstrated that the system parametric uncertainty results already in 5% probability of pitching stall flutter at a 12.5% earlier position than the point where a deterministic analysis would predict unstable behavior. Probabilistic collocation is found to be more efficient than the Galerkin polynomial chaos method and Monte Carlo simulation for modeling uncertainty in the post-bifurcation domain. © 2008 Elsevier Ltd. All rights reserved.
About the journal
JournalJournal of Fluids and Structures
ISSN08899746
Open AccessNo
Concepts (16)
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    Airfoils
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    Bifurcation (mathematics)
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    Flutter (aerodynamics)
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    Galerkin methods
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    Gas dynamics
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    Monte carlo methods
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    Polynomial approximation
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    Probability distributions
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    STALL INDICATORS
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    Uncertain systems
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    FLUTTER BOUNDARY
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    GALERKIN POLYNOMIAL CHAOS
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    PROBABILISTIC COLLOCATION
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    STALL FLUTTER
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    Uncertainty quantification
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    Uncertainty analysis