Improvement of Flugge's equations for buckling of moderately thick anisotropic cylindrical shells

A theoretical analysis of the buckling problems of anisotropic laminated or sandwich, short or long, circular cylindrical shells under axial loads is presented. The theory is based on Flugge's equations, improved by using first-order shear deformation theory. Nonlinear partial differential equations of equilibrium and boundary conditions are obtained by using a strain of finite displacement theory and the principle of virtual work, and these nonlinear partial differential equations of equilibrium are linearized. Solutions that satisfy the partial differential equations of equilibrium and boundary condition are obtained, and the analytical model is verified by presenting some numerical results and comparing them with results from previous studies.