Static Analysis of Laminated Piezoelectric Cylindrical Panels

The Static analysis of laminated piezoelectric cylindrical shells with various boundary conditions is presented employing Generalized Differential Quadrature (GDQ) method. The first-order shear deformation theory (FSDT) is considered to model the static response of panel. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported and free boundary conditions are considered. Particular interest of this study regards to asymmetric piezoelectric orthotropic cylindrical panels having free edges and subjected to general electromechanical loading. Taking into account the effects of shear deformation and initial curvature, a system of fifteen first order partial differential equations (PDEs) in terms of unknown displacements, rotations, moments and forces is developed. Several numerical examples are presented to demonstrate the accuracy and convergence of the proposed method with relatively small number of grid points. It is also revealed that the present method offers similar order of accuracy for all variables including displacements and stress resultants. Further results for panels with particular boundary conditions are provided which can be used as benchmarks in future.