On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises

ACTA AERODYNAMICA SINICA > 2012 > 30(2): 137-144.

On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises[J]. ACTA AERODYNAMICA SINICA, 2012, 30(2): 137-144.

Citation:

On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises[J]. ACTA AERODYNAMICA SINICA, 2012, 30(2): 137-144.

Citation:

On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises[J]. ACTA AERODYNAMICA SINICA, 2012, 30(2): 137-144.

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On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises

State Key Laboratory of Mechamics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

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Received Date: October 24, 2010
Revised Date: April 09, 2012
Available Online: January 07, 2021

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Abstract

In the present paper, the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises is investigated. A aeroelastic model for two coupled degrees-of-freedom airfoil is established. Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the polar transformation, Girsanov theorem and Feynmann-Kac formula, the backword differential operator is obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is obtained. And then the Monte Carlo simulation results are given, which match the result of the approximate analytical expansion of the moment Lyapunov exponent. Finally, the influences of the system parameters, the average gas velocity and the spectral density of noises on the stochastic stability of viscoelastic plate is studied.
- moment Lyapunov exponent,
- airfoil flutter,
- stochastic averaging method,
- wide band noise

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