Snap Through Nonlinear Vibration Control of Bi-stable Composite Plates Actuated by MFC Intelligent Material

Due to the residual stress, asymmetric cross-ply bi-stable laminates can show two different stable deformation states at room temperature. In this paper, the stable configurations and snap through nonlinear vibration control of the center point fixed bi-stable plates actuated by MFC is studied. Considering the effect of mechanical-electric coupling, the mechanical model of the system is constructed. Based on the classical laminate theory of Krichhoff hypothesis, the potential energy of the system is obtained according to the Von-Karman strain–displacement relationship, and the Rayleigh–Ritz technique is used to obtain the dynamic model of the bi-stable plate with MFC actuator. Then, in order to control the large vibration of the cross-ply bi-stable plate, a velocity feedback controller was proposed and its performance was simulated in Matlab Simulink environment. The simulation results show the structure can accurately and quickly realize the accurate snap through of steady-state configuration.