Abstract
Non-linear vibrations of generally laminated circular cylindrical shells are examined using the Timoshenko-Mindlin kinematic hypothesis and an extension of the Donnell-type shell theory. The effects of transverse shear deformation, rotatory inertia and geometrically initial imperfection are included in the analysis. A solution for non-linear free vibrations of these cylindrical shells is formulated using a multimode approach. The boundary condition for the varying rotational end stiffness in the circumferential direction is satisfied by replacement of the end bending moments by an equivalent lateral pressure near the shell ends. The Galerkin procedure furnishes an infinite system of equations for time functions which are solved by the method of harmonic balance. The postbuckling behavior of the shell is treated as a special case. Numerical results in non-linear vibration and postbuckling of cylindrical laminates are presented graphically for different parameters and compared with available data.
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