Nonlinear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped (Q1090139)

A unified approximate solution to the Marguerre-type equations for the titled problem is formulated by the use of the Galerkin procedure. The corresponding flat-plate problem is treated as a special case. Numerical results for fundamental nonlinear free vibration and postbuckling behavior of isotropic, orthotropic and symmetrically laminated cross-ply shallow cylindrical panels are presented for various curvatures, in-plane forces, geometrically initial imperfections, and geometries of laminations. Present results are compared with available data.