Abstract

Advanced fiber-reinforced composite materials have been used for structural members because of their high specific strength and stiffness. This paper deals with the problem of dynamic stability of cross-ply laminated cylindrical shells subjected to axial compressive step loading. First, the axially symmetric motion of the shell under the loading is determined. Subsequently, certain perturbations are superimposed on this motion, and their effect on the behavior of the shell 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 perturbated motion are obtained by the use of Galerkin's method. Stable regions are examined by utilizing a Mathieu equation. The inevitability of dynamically unstable behaviors is proved analytically, and the effects of various factors, such as compressive load ratio, number of layers, static buckling pattern and dynamic unstable mode, are clarified.

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