Levy-Type Boundary Fourier Analysis of Thick Cross-Ply Panels with Negative Gaussian Curvature

Abstract

A boundary-discontinuous generalized double Fourier-series-based solution to the problem of deformation of a finite-dimensional general cross-ply thick, doubly curved panel with negative Gaussian curvature and of rectangular planform, modeled using a higher-order shear deformation theory, is presented. This spectral method is used to solve a system of five highly coupled, linear partial differential equations, generated by the higher-order shear deformation theory-based laminated shell analysis, with the simply supported of type 2 boundary condition prescribed on two opposite edges, whereas the remaining two edges are subjected to the simply supported of type 3 constraint. The hitherto unavailable important numerical results presented include sensitivity of the predicted response quantities of interest to shell geometry (negative or positive Gaussian curvature), lamination and thickness effects, as well as their interactions.