Mode control of vibration in piezoelectric cantilever beam

Active vibration control for a cantilever beam was studied based on the combination between finite element analysis (FEA) and modeal control. Dynamical characteristics of the cantilever beam were analyzed and its dynamical equation was developed by using FEA. Piezoelectric elements were pasted on/under the cantilever beam where stress was the maximum or sub-maximum as actuators to control the vibration of the cantilever beam. Based on the modal control, modal sensors and modal actuators were designed. Negative mode velocity feedback was adopted and the control voltage applied to each piezoelectric element acting as actuator was calculated to control the vibration of the beam. Simulation results show that the vibration of the beam can be suppressed rapidly by applying voltage to the piezoelectric patches displaced in this way, and single mode vibration and multi-mode vibration can be controlled simultaneously.