Abstract
A multiple-scales asymptotic theory is formulated for predicting the coupled electroelastic vibration characteristics of simply supported laminated piezoelectric plates composed of orthotropic layers. The equations of motion and charge equations are solved within the framework of three-dimensional piezoelectricity. The inhomogeneity is considered to be in the thickness direction. The equations are expressed in a non-dimensional form and the introduction of multiple scales in the formulation leads to a uniform expansion of the field variables in even powers of a plate thickness parameter. Two different laminate configurations are analyzed for the free vibration and electro-elastic response. The results obtained are compared with available exact solutions and numerical solutions from finite element analysis.
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