径向冲击下复合材料层合圆柱壳的动力屈曲

DYNAMIC BUCKLING OF LAMINATED COMPOSITE CYLINDRICAL SHELLS SUBJECTED TO RADIAL IMPACT

采用Ｌａｇｒａｎｇｅ方程导出包含横向剪切变形和转动惯量的复合材料层合圆柱壳径向脉冲屈曲控制方程；用四阶Ｒｕｎｇｅ－Ｋｕｔａ方法对方程数值求解，寻找占优屈曲模态数及对应于允许初缺陷放大值时的临界冲击速度；通过计算碳／环氧材料角铺设层合圆柱壳，讨论了横向剪切变形、壳体几何尺寸。

An analysis was given to the dynamic pulse buckling of a finite length laminated composite cylindrical shell subjected to uniform radial impact. The buckling equations including transverse shear deformation and rotatory inertia were derived from Lagrange equation. According to numerical results generated by the fourth order Runge Kutta method, the number of the most amplified mode and critical velocity were obtained. Finally, the effects of transverse shear, geometric parameter and lamination angle on the behavior of dynamic buckling of laminated cylindrical shells were discussed.