Abstract
This paper deals with the problem of dynamic stability of cross-ply laminated cylindrical shells subjected to impact combined loads. Firsy of all, the motion of cylindrical shells under simultaneous impact axial compressive load, external pressure and torsion is defined as axially symmetric motion and their effect on the behavor of the shell is investigated. The symmetric state of motion of the shell is called stable if the perturbations remained bounded. The solutions for the prebuckling motion and the perturbed motion are obtained using Galerkin's method. Stable regions are determined by utilizing Mathieu's equation. The inevitability of dynamically unstable behavor is proved analytically and the effects of various factors, such as combined load ratio, number of layers, dynamic unstable mode, are clarified.
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