Dynamic modeling and control of rectangular plate with piezoceramic sensors and actuators

This paper is concerned with the modeling of the rectangular plate bonded with rectangular piezoceramic sensors and actuators, which can have an arbitrary angle with respect to the plate axis. The equations of motion were derived by the Rayleigh-Ritz method. The cantilever plate with piezoceramic sensors and actuators was built to verify the theoretical development. The theoretical frequency response curve based on the equations of motion was then compared to the experimental frequency response curve. The sensor and actuator characteristics were also studied both theoretically and experimentally. The sensor characteristic is defined as the ratio of the tip displacement to the voltage output and the actuator characteristic is defined as the ratio of the applied voltage to the tip displacement. The final objective of the research is to optimize the sensor and actuator locations as well as orientation to maximize the control performance. The control performance will follow.