A dynamic non-linear theory for generally laminated shallow clidrical shallow eylindrical panels is developed with the aid of Hamilton's principle. The effects of transverse shear deformatin. Rotatory inertia and geometrically initial imperfectin are included in the analysis. A multi-mode solution is formulated for non-linear free vibratin of an anti-symmetric angle-ply cylindrical lamminate with its edges elastically restained against roataion. The resulting equoations for time functions are solved by the mehod of harmonic balance. The postbuckling behavior of the panel is treated as a special case. Numerical results in non-linear vibration and posbuckling are presented for different values of the amplitude of iaitial imperfection. side-to-thickness ratio rotaional edge stiffiness,aspect ratio, orientation angle,number of layrs and material properies. Present results are compared with available data.