Nonlinear bending analysis of ring-stiffened circular and annular general angle-ply laminated plates with various boundary conditions

•The governing equations are derived based on the FSDT and large deflection von-Karman equations.•The DR method together with the finite difference discretization technique is used to solve the equilibrium equations.•The stiffener has the greatest influences for decreasing the deflection in antisymmetric angle-ply in comparison with the other lay-ups.

In this study, elastic large deflection analysis of axisymmetric ring-stiffened circular and annular general angle-ply laminated plates subjected to transverse uniform load is studied. Based on first order shear deformation theory (FSDT) and large deflection von-Karman relations, the governing equations are derived. The dynamic relaxation (DR) method in conjunction with the central finite difference discretization technique is used to solve the nonlinear equilibrium equations. A detailed parametric study is carried out to investigate the influences of plate thicknesses, stiffener width, stiffener depth, fiber orientation, stacking sequence and different types of boundary conditions. Also, some linear and nonlinear analysis is provided to consider the effect of nonlinearity on the results.