Three-Dimensional Vibrations of Layered Piezoelectric Cylinders

Abstract

A semi-analytic discrete-layer model is presented for the three-dimensional free vibration analysis of laminated cylindrical shells with distributed piezoelectric layers. The discrete-layer theory combines finite-element approximations through the shell thickness with Fourier and/or power series in the axial and circumferential directions. This approach can be applied to cylindrical shells consisting of single or multiple layers. Frequencies for the general vibration of solid elastic cylinders show excellent agreement with those in the literature. Results are also presented for the general vibration of laminated piezoelectric cylindrical shells.