Abstract:

This paper deals with the measurement and control of the bending and torsional mode vibrations for flexible cantilever plates,and performs the optimal placement and nonlinear vibration control of piezoelectric sensors and actuators. In the investigation,first,a finite element model of a cantilever plate with bonded distributed piezoelectric patches is established. Next,the location placement of piezoelectric sensors /actuators is performed based on the established model and an energy dissipation method,and the decoupling of the bending and torsional mode vibrations on measurement and driving is achieved. Then,a nonlinear control algorithm is proposed and an experimental setup of the piezoelectric cantilever plate is constructed. Finally,a comparative research on the bending and torsional vibration control is carried out by experiments. The results demonstrate that the proposed nonlinear control algorithm can suppress the vibration of the cantilever plate more quickly,and the location placement of piezoelectric sensors /actuators helps to achieve the measurement and control decoupling of bending and torsional mode vibrations.

Key words: piezoelectric cantilever plate, active vibration control, finite element modeling, sensor /actuator placement, nonlinear control algorithm