Abstract
The objective of this paper is to demonstrate layerwise theory for the analysis of thicklaminated piezoelectric shell structures. A general finite element formulation using thelayerwise theory is developed for a laminated cylindrical shell with piezoelectric layers,subjected to dynamic loads. The quadratic approximation of the displacement and electricpotential in the thickness direction is considered. The governing equations are reduced totwo-dimensional (2D) differential equations. The three-dimensional (3D) elasticitysolution is also presented. The resulting equations are solved by a proper finiteelement method. The numerical results for static loading are compared with exactsolutions of benchmark problems. Numerical examples of the dynamic problem arepresented. The convergence is studied, as is the influence of the electromechanicalcoupling on the axisymmetric free-vibration characteristics of a thick cylinder.
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