The morphing wing aircraft, with good performances of flexibility and motility, has been paid more and more attention by researchers in recent years. During the unfolding process, the flow direction above the thin-walled plate structures embedded in the swept wing changes due to the relative movement of the plate with the outside airflow. The plate on the swept wing and the outside flow comprise a time-varying dynamic system. In this paper, based on the von Karman nonlinear plate theory and the linear potential flow theory, the dynamic equation of the plate interacting with the yawed subsonic flow is established and the time-varying dynamic properties of the system are analyzed. The natural frequency curve of the system during the unfolding process is obtained by solving the generalized eigenvalue problem. The vibration displacement time response of the thin plate is obtained by the Runge-Kutta method. The interaction between the flow velocity and the spread velocity of the swept wing will affect the stability of the plate, and the vibration amplitude of the plate will also be affected by the parameters of the plate.

变形翼飞行器具有良好的灵活性和机动性能，近年来越来越受到研究者的关注。在展开过程中，嵌入后掠翼的薄壁板结构上方的流向由于板与外界气流的相对运动而发生变化。后掠翼上的板和外部气流构成了一个时变动力系统。本文基于冯卡门非线性板理论和线性势流理论，建立了板与偏航亚音速流相互作用的动力学方程，分析了系统时变动力学特性。通过求解得到系统展开过程的固有频率曲线广义特征值问题。采用龙格-库塔法得到薄板的振动位移时间响应。流速与后掠翼展开速度的相互作用会影响板的稳定性，板的振动幅度也会受到板参数的影响。