Control of circular plate vibrations via piezoelectric actuators shunted with a capacitive circuit

The purpose of this research is to analyse capacitively shunting distributed piezoelectric elements perfectly glued to the vibrating annular plate excited by harmonic displacement of the inner plate edge. The piezoelement is described by constitutive equations relating stresses and electric displacements with strains and electric field. The equations are coupled with the equations of plate motion by the surface strain terms. At joint circles between annular sections without and with the piezolayers the continuity of plate deflection, slope and curvature is considered. The free stress condition for the piezoelement constrains the strain value at inner and outer piezoelement edges. Results from numerical simulation show an influence of the external shunting capacity on the frequency and space dependent plate response.