Bending Analysis of Symmetrically Laminated Cylindrical Panels Using the Extended Kantorovich Method

Abstract

In this study, the bending of cross-ply symmetrically laminated cylindrical panels is investigated using the extended Kantorovich method (EKM). Following the classical Kirchhoff-Love assumptions, the governing partial differential equations (PDEs) of the problem are converted to a couple of systems of ordinary differential equations (ODEs). The resulted sets of ODEs are then solved, with exact analytical solutions, iteratively using arbitrary functions as initial guesses. Results for a clamped composite cylindrical panel under uniform, linear and nonlinear varying distributed loadings are presented. It is shown that the method provides accurate predictions for both displacement and stress components with very fast convergence and also initial guesses have no influence on the final results. Accuracy of the final results is investigated by comparison with the finite element and other results available in the literature.