空气动力学学报2012，Vol.30Issue(2)：137-144,156,9.
受宽带噪声激励的二元机翼随机振动系统的矩Lyapunov指数
On the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises
摘要
Abstract
In the present paper, the moment Lyapunov exponent of a binary airfoil subjected to the excitation of wide band noises is investigated. A aeroelastic model for two coupled degrees-of-freedom airfoil is established. Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the polar transformation, Girsanov theorem and Feynmann-Kac formula, the backword differential operator is obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is obtained. And then the Monte Carlo simulation results are given, which match the result of the approximate analytical expansion of the moment Lyapunov exponent. Finally, the influences of the system parameters, the average gas velocity and the spectral density of noises on the stochastic stability of viscoelastic plate is studied.关键词
矩Lyapunov指数/机翼颤振/随机平均法/宽带实噪声Key words
moment Lyapunov exponent/ airfoil flutter/ stochastic averaging method/ wide band noise分类
数理科学引用本文复制引用
黄勇,刘先斌..受宽带噪声激励的二元机翼随机振动系统的矩Lyapunov指数[J].空气动力学学报,2012,30(2):137-144,156,9.基金项目
国家自然科学基金资助项目(11072107,91016022) （11072107,91016022）
高等学校博士学科点专项科研基金资助项目(20093218110003) （20093218110003）
