Time-varying stability and vibration of an embedded thin plate on a swept wing

Abstract

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.