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

被引：16

作者：

Hu, D. L. ^{[1
]}

Liu, X. B. ^{[2
]}

Chen, W. ^{[1
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, Inst Soft Matter Mech, Nanjing 210098, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Aerosp Engn, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Jiangsu, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Parametric resonance; Moment Lyapunov exponent; Largest Lyapunov exponent; Stochastic stability; Perturbation method; Monte Carlo simulation; REAL NOISE; DUFFING OSCILLATOR; PARAMETRIC EXCITATIONS; 2-DIMENSIONAL SYSTEM; COUPLED OSCILLATORS; VISCOELASTIC SYSTEM; COLORED NOISE; DRIVEN; FLUTTER; PERTURBATION;

D O I：

10.1007/s11071-017-3470-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

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.

引用

页码：539 / 552

页数：14

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