Moment Lyapunov exponent and stochastic stability of binary airfoil under combined harmonic and Gaussian white noise excitation

被引：0
作者：
D. L. Hu
X. B. Liu
W. Chen
机构：
[1] Hohai University,Institute of Soft Matter Mechanics, College of Mechanics and Materials
[2] Nanjing University of Aeronautics and Astronautics,State Key Lab of Mechanics and Control for Mechanical Structures, College of Aerospace Engineering
来源：
Nonlinear Dynamics | 2017年 / 89卷
关键词：
Parametric resonance; Moment Lyapunov exponent; Largest Lyapunov exponent; Stochastic stability; Perturbation method; Monte Carlo simulation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：539 / 552
页数：13
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