Experiment on a cantilever beam control and theoretical approximation

The aim of this research is to investigate experimentally as well as numerically active damping effects of cantilever beam transverse vibrations. The control system under consideration consists of collocated piezoceramic sensor and actuator patches, which are coupled with velocity feedback. Experimental results of free and forced vibrations confirmed the effectiveness of the control circuit with the analog derivative controller for suppression of low-frequency beam motion. The numerical simulation is performed to verify the theoretical models of the tested mechanical system. The analysis is based on the simplified pure bending interaction between the perfectly bonded piezoactuator and the beam, which has a constant equivalent stiffness or is locally stiffened by the piezoceramic patches. The applied dynamic coupling model includes the effects of the actuator tangential inertia forces and the bonding layer with a finite shearing stiffness. The results of the simulation are in a good agreement with the experiment taking in the simplified model of the system. Considering the bonding layer and the actuator longitudinal movement decreases the active damping effectiveness even for a relatively stiff glue layer.