辛方法和弹性圆柱壳在内外压和轴向冲击下的动态屈曲

A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure

针对有内压或外压的弹性圆柱壳在轴向冲击载荷耦合作用下的动态屈曲问题,构造哈密顿体系,在辛空间中将临界载荷和动态屈曲模态归结为辛本征值和本征解问题,从而形成一种辛方法。该方法直接得到非轴对称的屈曲模态。数值结果给出了圆柱壳问题的临界载荷和屈曲模态以及一些规律。

The dynamic pre-buckling of finite cylindrical shells was discussed under both axial impact and internal or external pressure. A Hamiltonian system was constructed for the fundamental problem of the dynamic buckling, thereby problems of critical loads and buckling modes were reduced to determinations of eigenvalues and eigensolutions in a symplectic space and a symplectic method was proposed. Modes of the non-axisymmetric buckling were obtained by the proposed method. Numerical resuits show the critical loads, buckling modes and some phenomena for cylindrical shells.