首先利用线性的动力屈曲方程，对受压的理想圆柱壳稳定性进行了动力分析。接着利用随时间周期变化的轴压载荷，导出了Mathieu方程，讨论了轴压柱壳的参数共振。在Donnell-Kármán大挠度方程中引入惯性力和阻尼力给出圆柱壳的非线性运动方程，借助Bubnov-Galerkin法，将其转化为含有三次非线性的常微分方程。在定性分析的基础上，利用次谐轨道Melnikov函数和同宿轨道的Melnikov函数分别给出了前屈曲和后屈曲情况下发生Smale马蹄型混沌的临界条件。在此基础上，选用适当参数借用MATLAB数学软件，计算了运动时程曲线、相图和Poincaré映射，给出了混沌运动的数字特征。

The chaotic motion of a closed cylindrical shell undergoing an oscillating axial load is studied. The nonlinear motion equations of cylindrical shell are obtained by introducing inertial and damping force into Donnell-Kármán large deflection equations, and are transformed into an ordinary differential equation containing third-order nonlinear term by means of the Bubnov-Galerkin method. Based on qualitative analysis, the threshold conditions of the existence of horseshoe-type chaos are presented in the two case of pre-buckling and post-buckling by using of sub-harmonic obit and homoclinic orbit Melnikov function. Lastly, the time-history curve, phase portrait and Poincaré map are calculated by means of MATLAB software.