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 angle-ply laminated cylindrical shells subjected to static and periodic axial compressive loads. 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 assumed to be stable if the perturbations remain to the bounds. 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 Mathieu equation. The inevitability of dynamically unstable behaviors and the effects of various factors, such as compressive load ratio, lamination angle, fundamental natural frequency, driving amplitude of the vibration and dynamic unstable mode are analytically clarified.
