ON BOUNDARY-VALUE-PROBLEMS OF MODERATELY THICK SHALLOW CYLINDRICAL PANELS WITH ARBITRARY LAMINATIONS

An analytical (strong form) solution to the boundary value problem of moderately thick shallow cylindrical panels, with arbitrary lamination s is presented. A double Fourier series approach is used to solve five second-order highly coupled partial differential equations that arise from the shallow shell formulation based on popular Donnell-Mushtari- Vlasov shell theory, and the first-order shear deformation-based throu gh-thickness theory. An admissible boundary condition is considered to obtain numerical results that constitute the study of convergence of displacements, and moments; and spatial variations of them presented i n the form of contour plotting for Various parametric effects. These, hitherto unavailable, analytically obtained numerical results should s erve as base-line solutions for future comparisons of popular approxim ate methods such as finite element, finite difference, Galerkin approa ch, Rayleigh-Ritz method, collocation method, least-squares method, an d experimental results, for the case of arbitrary laminations.