Electrically forced antiplane vibrations of a multilayered circular cylindrical piezoelectric shell of polarized ceramics with weak interfaces

Abstract

We study electrically forced antiplane vibrations of a multilayered circular cylindrical piezoelectric shell of ceramics poled in the axial direction. The interfaces among the layers are modeled by the so-called shear-lag model. The linear theory of piezoelectricity is used. A theoretical analysis is performed. An exact solution is obtained. Electrical admittance, resonant frequencies, and distributions of the displacement and stress fields are calculated. It is found that the maximal admittance may appear at the first or higher resonances depending on the arrangement of the poling directions of the layers, and that the admittance and the electromechanical fields are sensitive to the interface bonding.