径向载荷作用下复合材料圆柱壳的非线性动力屈曲

采用半解析法求解径向阶跃载荷作用下复合材料圆柱壳的非线性动力屈曲。基于一阶剪切变形理论，由Hamilton原理推导出包含横向剪切变形以及几何初缺陷的圆柱壳的非线性动力方程，位移及载荷沿周向采用级数展开，由Galerkin方法得到微分方程组，通过有限差分法求解；根据响应情况，由B—R准则判定屈曲，确定屈曲临界载荷。

Nonlinear Dynamic Buckling of Composite Cylindrical Shells under Radial Loads

The nonlinear dynamic buckling of a laminated composite cylindrical shell under radial step loading is solved by the semi-analytical method in this paper. Based on the first order shear deformation theory, the nonlinear dynamic equations including transverse shear deformation and initial geometric imperfections are obtained by Hamilton's principle . The nonlinear partial differential equations are transformed to ordinary differential equations by the Fourier series expansion of displacement and load in along circumference and using Galerkin's method, the ordinary differential eguations are solved by the finite difference method. The buckling is judged from responses by B-R criterion and critical loads are determined.