Active Vibration Control of a Cantilever Beam Using Bonded Piezoelectric Sensors and Actuators

Abstract

This paper presents a numerical study concerning on the active vibration control of piezoelectric cantilever beam. The equations of motion governing the vibration of the beam are derived by application of the Bernoulli-Euler theory and the Hamilton principle. The modal superposition method is adopted to simplify system, a general method of active vibration control and suppression for intelligent structures is put forth on the basis of a negative state feedback control law. Actuator on different positions is performed in order to investigate their effectiveness to suppress vibration in intelligent structures, and the optimal position of piezoelectric cantilever beam in vibration control is pointed out in this paper. Analytical results are verified with numerical simulations.