中文摘要：

为考查在高斯白噪声作用下二元机翼随机颤振动力学行为,采用数值仿真的方法对其进行了研究.首先把机翼简化成一个具有扭转和上下自由度的平板,其中扭转弹簧具有3次非线性刚度,同时假设空气是线性不可压的而且气动力是定常的,再对任意运动和高斯白噪声作用下的机翼进行建模.其次采用了蒙特卡罗仿真来求解随机微分方程的数值解,根据数值解结果进行统计分析,计算出最大Lyapunov指数.最后得出：在随机激励作用下机翼的动力学行为与确定性颤振相比有很大差异,同时随机颤振点提前于确定性颤振点.

英文摘要：

This article examines the dynamical behavior of stochastic flutter of binary airfoil that is excited by a Gauss white noise by means of numerical simulation.Firstly,the airfoil is modeled as a flat plate in a linear constant incompressible flow under a Gauss white noise excitation.The plate is with two degrees of freedom on heave and pitch and with a structural type nonlinearity in the form of a cubic hardening torsional spring.Secondly,a Monte Carlo simulation is performed to solve the system of random differential equations.And then based on the numerical result,a statistic analysis is made and the maximal Lyapunov exponent of the relevant system is obtained.Finally,it is found that the dynamical behavior of a nonlinear structural airfoil excited by a Gauss white noise is dramatically different from that of a deterministic system and its stochastic flutter point is always ahead of the point of the deterministic flutter.