Modelling and Vibration Control of Planar Systems by the Use of Piezoelectric Actuators

n recent years, a great deal of work has been done on the
development of control methodologies for structural and acoustic applications by
using piezoelectric actuators. This paper presents the derivation of the models
for planar structures with surface-mounted piezoelectric actuators. In the first
approach, a parametric system identification procedure is employed to establish
a mathematical model of the considered system, on the basis of the data
collected from the measurements. The second approach consist in modelling of the
fluid-acoustic-structural dynamics in the form of the partial differential
equations, derived from physical principles such as forces and moments balance.
Assuming axially symmetrical vibrations, on the basis of the models derived, the
control algorithm has been developed for the circular plate to which centrally
placed PZT actuators were bonded. The results of performed simulations are
included and discussed.