Feedback vibration control of circular plate interacting with fluid using piezoceramic controllers

摘要

Active control of vibration suppression of a circular fluid-loaded plate is analytically studied. The purpose of this theoretical work is to present a general model of the response of a thin circular plate mounted to a frame with a metal collar. The model is based upon the geometry and properties of an experimental set-up consisting of a hard-walled cylinder with a thin plate at one end. The plate is excited on one side by a uniform periodic force with a constant amplitude and radiating into free space. The system equations are formulated taking into account the coupling effect between structure and acoustic medium. The control problem lies in using piezoceramic actuators working in pair to reduce the plate vibrations. For the system under consideration the state - space model is constructed. The modern control theory is then applied to the system model using a linear quadratic regulator (LQR). The feedback control is realised via circular piezoelelectric ceramic elements glued to the central part of the plate.