Moment Lyapunov exponent and stochastic stability of binary airfoil driven by non-Gaussian colored noise

被引：28

作者：

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

Huang, Y. ^{[1
]}

Liu, X. B. ^{[1
]}

机构：

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

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 03期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Moment Lyapunov exponent; Stochastic stability; Perturbation method; Non-Gaussian colored noise; Monte Carlo simulation; COUPLED OSCILLATORS DRIVEN; FLUTTER; ENHANCEMENT; RESONANCE; SYSTEM;

D O I：

10.1007/s11071-012-0577-x

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 subjected to non-Gaussian colored noise are investigated. The noise is simplified to an Ornstein-Uhlenbeck process by applying a path-integral approach. Via the singular perturbation method, the second-order expansions of the moment Lyapunov exponent are obtained, which agree with the results obtained using the Monte Carlo simulation well. Finally, the effects of the noise and system parameters on the stochastic stability of the binary airfoil system are discussed.

引用

页码：1847 / 1859

页数：13

共 33 条

[1] The post-Hopf-bifurcation response of an airfoil in incompressible two-dimensional flow [J].

Alighanbari, H ;

Price, SJ .

NONLINEAR DYNAMICS, 1996, 10 (04) :381-400

[2] A FORMULA CONNECTING SAMPLE AND MOMENT STABILITY OF LINEAR STOCHASTIC-SYSTEMS [J].

ARNOLD, L .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (04) :793-802

[3] Small noise expansion of moment Lyapunov exponents for two-dimensional systems [J].

Arnold, L ;

Doyle, MM ;

Namachchivaya, NS .

DYNAMICS AND STABILITY OF SYSTEMS, 1997, 12 (03) :187-211

[4] Colored non-Gaussian noise driven open systems: Generalization of Kramers' theory with a unified approach [J].

Baura, Alendu ;

Sen, Monoj Kumar ;

Goswami, Gurupada ;

Bag, Bidhan Chandra .

JOURNAL OF CHEMICAL PHYSICS, 2011, 134 (04)

[5]

Bolotin V. V., 1964, The dynamic stability of elastic systems, V1

[6] New aspects on current enhancement in Brownian motors driven by non-Gaussian noises [J].

Bouzat, S ;

Wio, HS .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (01) :69-78

[7] Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow [J].

Chen FangQi ;

Zhou LiangQiang ;

Chen YuShu .

SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2011, 54 (08) :1954-1965

[8]

[陈衍茂 Chen Yanmao], 2011, [振动与冲击, Journal of Vibration and Shock], V30, P129

[9] Stochastic resonance in bistable and excitable systems: Effect of non-Gaussian noises [J].

Fuentes, MA ;

Tessone, CJ ;

Wio, HS ;

Toral, R .

FLUCTUATION AND NOISE LETTERS, 2003, 3 (04) :L365-L371

[10] Enhancement of stochastic resonance: the role of non Gaussian noises [J].

Fuentes, MA ;

Toral, R ;

Wio, HS .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 295 (1-2) :114-122

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