In-plane-dominated vibration characteristics of piezoelectric thick circular plates based on higher-order plate theories

ABSTRACT Numerous engineering applications exist for the piezoelectric effect, which results from electromechanical coupling between electrical and mechanical fields. In-plane vibrations of plates’ resonance frequencies associated mode shapes have been thoroughly investigated. However, analytical solutions in-plane-dominated thick circular plates are limited. In this paper, higher-order plate theories vibration characteristics under fully clamped completely free boundary conditions presented. The resonant were investigated based on two theories: second-order shear deformation theory third-order theory, as well simplified linear theory. Hamilton's principle was applied to derive equations motion conditions. theoretical analysis, frequencies, distribution electric displacements various radius-to-thickness ratios calculated. numerical obtained by finite element method compared with those analysis. Excellent agreement found plates.