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 laminations 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 through-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 in the form of contour plotting for Various parametric effects. These, hitherto unavailable, analytically obtained numerical results should serve as base-line solutions for future comparisons of popular approximate methods such as finite element, finite difference, Galerkin approach, Rayleigh-Ritz method, collocation method, least-squares method, and experimental results, for the case of arbitrary laminations.