所属单位：航空学院
发表刊物：CHAOS SOLITONS & FRACTALS
关键字：Moment Lyapunov exponent Perturbation method Green's function Bounded noise Singular points
摘要：In the paper, the stochastic stability of the binary airfoil subject to the effect of a bounded noise is studied through the determination of moment Lyapunov exponents. The noise excitation here is often used to model a realistic model of noise in many engineering application. The partial differential eigenvalue problem governing the moment Lyapunov exponent is established. Via the Feller boundary classification, the types of singular points are discussed here, and for the system discussed, the singular points only exist in end points. The fundamental methods used are the perturbation approach and the Green's functions method. With these methods, the second-order expansions of the moment Lyapunov exponents are obtained, which are shown to be in good agreement with those obtained using Monte Carlo simulation. The effects of noise and system parameters on the moment Lyapunov exponent and the stochastic stability of the binary airfoil system are discussed. (C) 2017 Elsevier Ltd. All rights reserved.
ISSN号：0960-0779
是否译文：否
发表时间：2017-05-01
合写作者：Wu, Jiancheng,Li, Xuan
通讯作者：刘先斌
发表时间：2017-05-01