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Key words Transient analysis, cylindrical shell panel, general lay-ups, generalized differential quadrature method.Static and transient analysis of moderately thick laminated cylindrical shell panels with various loadings and boundary conditions are presented using generalized differential quadrature (GDQ) method. The governing system of transient partial differential equations of the shell panel is discretized in space and time domains using GDQ technique and Newmark's integration scheme, respectively. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported and free boundary conditions are considered. Assuming effects of shear deformation and initial curvature, the governing partial differential equations (PDEs) including a system of fifteen first-order PDEs in terms of unknown displacements, rotations, moments, forces, and time are selected for the analysis. Solution domain, governing equations, and related boundary conditions are then discretized based on the GDQ technique. It is shown that the method provides reasonably accurate results with relatively small number of grid points. It is revealed that the method offers similar order of accuracy for all variables including displacements and stress resultants. Comparisons of the predictions with results of other analytical, numerical, and finite element analyses show very good agreement. More results for shell panels with various boundary conditions specially mixed boundary conditions are presented for future references.

The dynamic analysis of laminated plates with various loading and boundary conditions is presented employing generalized differential quadrature (GDQ) method. The first-order shear deformation theory is considered to model the transient response of the plate. The GDQ technique together with Newmark integration scheme is employed to solve the system of transient equations governing dynamics of the plate. 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 orthotropic plates having free edge and mixed boundary conditions. It is shown that the method provides reasonably accurate results with relatively small number of grid points. Comparison of the results with those of other methods demonstrates a very good agreement. It is also revealed that the present method offers similar order of accuracy for all variables including displacements and stress resultants.

Bending analysis of moderately thick laminated conical panels with various boundary conditions is presented using the generalized differential quadrature (GDQ) method. Different combinations of clamped, simply supported, and free boundary conditions are considered. General lay up of laminates including symmetric and asymmetric panels is considered. Assuming the effects of shear deformation and initial curvature, the governing partial differential equations (PDEs) of the problem consist of 15 first-order PDEs in terms of unknown displacements, rotations, moments, and forces. Solution domain, governing equations and related boundary conditions are then discretized based on the GDQ technique. Results revealed that convergence of the method is very fast as it provides reasonably accurate results with a relatively small number of grid points. It is also demonstrated that a similar formulation and solution technique can be used to obtain predictions for sector plates by assuming appropriate geometrical parameters. Comparison of the predictions with results of other analytical and numerical methods shows very good agreement. Further results for symmetric and asymmetric laminated conical panels with various boundary conditions are also presented and validated using the commercial finite-element code ABAQUS for future references.