Abstract
This study is concerned with the problem of dynamic response of angle-ply laminated cylindrical shells under axial compressive impact loads. A mathematical formulation of shell theory is based on the Kirchhoff-Love hypothesis. Cylindrical shells are analyzed using the Donnell-type equations under the boundary condition for simply supported edges. Subsequently, certain perturbations are superimposed on this motion, and their behavior in time is investigated. The symmetric state of motion of the shell is called stable if the perturbations remain bounded. The solutions for the prebuckling motion and the perturbed motion are obtained using the Galerkin method. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as compressive load ratio, lamination angle, dynamic unstable mode and dimensions of the cylinder are clarified.
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