衝撃軸圧縮荷重を受けるクロスプライ積層円筒殻の動的安定性に関する理論的考察

概要

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This paper deals with the problem of dynamic stability of cross-ply laminated cylindrical shells subjected to axia1 compressive step loading. First, the axially symmetric motion of the shell is imposed by the axial compressive step loading. Subsequently, certain perturbations are superimposed on this motion, and their behavior sequential with time is investigated. The symmetric state of motion of the shell is considered to be 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 cross-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. These of Mathieu's equation is solved with good accuracy. Regarding the instability mode, we compared the results of Flugge theory with Donnell theory. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as static buckling pattern, configuration parameter R/h, Z and dynamic unstable modes, are clarified.
東海大学の論文