The Effect of Displacement Field on Bending, Buckling, and Vibration of Cross-Ply Circular Cylindrical Shells

The effect of assumed displacement field is investigated on the bending, buckling, and natural frequencies of cross-ply circular cylindrical shells using first-order shear deformation theory through an analytical solution. Linear strain-displacement relation is assumed. The governing equations are derived from Hamilton's principle. Assuming Levy-type solution, the governing equations are then converted to ordinary differential equations and changed to state-space form introducing ten unknown variables and solved for displacements. Different lamination sequences, including symmetric and asymmetric laminate, are studied and compared. The effect of various boundary conditions (i.e., clamped, simply supported, and free edge), radius-to-thickness, and radius-to-length ratio on the displacement of mid-surface is investigated.