Higher-order theory based boundary-discontinuous Fourier analysis of simply supported thick cross-ply doubly curved panels

A boundary-discontinuous double Fourier series based solution methodology is employed to solve the problem of a HSDT-based thick cross-ply doubly curved panel, characterized by a system of five highly coupled linear partial differential equations, with the SS1-type simply supported boundary condition prescribed at all four edges. For derivation of the complementary solution, the complementary boundary constraints are introduced through boundary discontinuities of some of the particular solution functions and their partial derivatives. Such discontinuities form a set of measure zero. The present solution methodology is based on the fact that the complementary boundary constraints, which are inequalities, play as important a role as the prescribed (admissible) boundary conditions, which are equalities. The effects of curvature, lamination, material property, thickness as well as their interactions are investigated in detail. Numerical results presented herein illustrate the severity of the effects of those parameters.