Abstract

In this paper, the moment Lyapunov exponent and stochastic stability of binary airfoil under combined harmonic and Gaussian white noise excitation are investigated. Via the singular perturbation method, the first-order expansions of the moment Lyapunov exponent are obtained, which agree well with the results obtained by the Monte Carlo simulation. Finally, the effects of the noise and parametric resonance (such as subharmonic resonance and combination additive resonance) on the stochastic stability of the binary airfoil system are discussed.

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