Three-Dimensional Elasticity Solution of Single Layer Piezoelectric Panel

This research presents a semi analytical solution of finitely long, simplysupported, orthotropic, piezoelectric, radially polarized, shellpanel under pressure and electrostatic excitation. The general solutionof the governing partial differential equations are obtained bythe method of separation of variables. The displacements and electricpotential are expanded in appropriate trigonometric Fourier seriesin the circumferential and axial coordinate to satisfy the boundaryconditions at the simply-supported circumferential and axialedges. The governing ordinary differential equations are solved bythe Galerkin finite element method. In this procedure, the quadraticshape function is used in each element. Numerical examples are providedfor typical external pressure on outer surface of a single layerpiezoelectric panel.