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本文研究承受周期轴向动载的各向异性层合圆柱壳的动态屈曲问题．根据各向异性材料具有耦合效应的特点，选择非正交的位移基函数，用能量法将Ｆｌüｇｇｅ型非线性控制方程转化为有限维常微分方程组之后，在非双曲平衡点处，用微分动力系统中的中心流形理论化简方程组，同时得到了求解中心流形的微分方程和边界条件．最后应用奇异性理论详细分析和讨论了各向异性层合圆柱壳的亚谐参数共振的动态响应
In this paper, we study the dynamic buckling of anisotropic laminated cylindrical shell subjected to periodic axial dynamic loading. According to the coupling effect of anisotropic materials, non-orthogonal displacement basis functions are selected. After the Flügge nonlinear equations are converted into finite-dimensional ordinary differential equations by energy method, differential equations are used at non-hyperbolic equilibrium points. The central manifold in the dynamic system is theorized by simplifying the system of equations, and the differential equations and boundary conditions for the center manifold are obtained. Finally, the dynamic response of subharmonic parametric resonance of anisotropic laminated cylindrical shells is analyzed and discussed in detail using the singularity theory.