Dynamic Stability of Angle-ply Laminated Cylindrical Shells Subjected to Impact Torsional Moment

Abstract

This paper deals with the problem of dynamic stability of angle-ply laminated cylindrical shells subjected to impact torsional moment. First of all, the motion of cylindrical shells under impact torsional moment is defined as axially symmetric motion. Following this definition, certain perturbations are superimposed on this motion and their effect on the behavior of the shell is investigated. The symmetrical state of the shell is called stable if the perturbations remained bounded. The solutions for pre-buckling motion and the perturbed motion are obtained using the Galerkin’s method. Stable regions are determined by utilizing Mathieu’s equation. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as torsional stress ratio, lamination angle and dynamic unstable mode are clarified.