Nonlinear global resonance analysis of an embedded plate interacting with outside subsonic airflow

The nonlinear global resonances of a viscous damper supported embedded plate interacting with outside axial subsonic potential airflow are investigated. The nonlinear equation of motion of the plate is derived based on the Burger's nonlinear plate model and discretized into nonlinear ordinary differential equations with multiple degrees of freedom by using the assumed mode method. The perturbation aerodynamic pressure caused by the coupling of the plate and the outside subsonic airflow is modeled by the linear potential flow theory. The amplitude-frequency curves of the steady state responses of the plate are obtained by numerical computations. The global nonlinear primary resonance properties of the plate are analyzed. The effects of the flow velocity, the excitation amplitude and the viscous damping coefficient on the steady state response properties of the plate are discussed. From the numerical simulations, some novel nonlinear dynamic phenomena of the vibration modes are observed and some dynamic properties of the plate are drawn.