Nonlinear bending analysis of radial-stiffened annular laminated sector plates with dynamic relaxation method

Abstract

In this paper the nonlinear bending of laminated stiffened annular sector plates under mechanical loading with various boundary conditions is investigated. The plates are made of layers with orthotropic properties and different fiber orientations, which the aforementioned fibers are placed in a Cartesian coordinate system. Based on first-order shear deformation plate theory (FSDT) and von Karman relations for large deflection, nonlinear equilibrium equations are developed. Dynamic relaxation (DR) numerical method combined with the finite difference discretization technique is used to solve the plate nonlinear partial differential equations and FORTRAN program is developed to generate the numerical results. Effects of the plate thickness-to-radius ratio, boundary condition, stiffener depth, plate lay-ups and the sector angle are discussed.