Simulation of the parametric excitation of the cantilever beam vibrations

Abstract

The effect of parametric vibration damping is theoretically well described and the first experiments are published. The paper focuses on the design and verification of the system functionality which is based on the use of piezoactuators as an element of the controlled stiffness which varies periodically in time according to a sinusoidal function. The principle of governing the piezoactuator stiffness is based on proportional control of the actuator displacement. The transfer function of a disturbance force to the actuator displacement is affected by the controller gain. Periodic changes of the controller gain should have a damping effect on vibration of the cantilever beam according to the simulation in Matlab-Simulink environment. The paper presents a simulation study of this method of damping vibrations.