Dynamic Stability Analysis of Angle-ply Laminated Cylindrical Shells Subjected to Axial Compressive Step Loading

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This paper deals with the problem of dynamic stability of angle-ply laminated cylindrical shells subjected to axial step loading. First, the axially symmetric motion of the shell under loading is determined. 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 perturbated motion are obtained by the use of Galerkin's method. Calculations are carried out for angle-ply laminated cylindrical shells and the instability regions are determined by utilizing Mathieu's equation. Mathieu's equation includes static buckling values, so we aim at the static buckling value. Analyzing the buckling values by Flugge shell theory, Mathieu equation is solved with good accuracy. Regarding the instability mode, we compared results of Flugge theory with those of Donnell theory. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as static buckling pattern, lamination angle and dynamic unstable mode, are clarified.
東海大学の論文