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本文针对弹性圆柱壳在轴向脉冲载荷冲击下动态局部屈曲问题,提出一种新的方法,即哈密顿体系方法.通过构造哈密顿体系,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.发现圆柱壳屈曲的临界载荷被分为两类,其分别对应圆柱壳压缩屈曲和弯曲屈曲.辛本征解反映了局部的压缩屈曲模态和横向的弯曲屈曲模态.在物理上表现出壳体的压缩型竹节屈曲现象和弯曲型竹节屈曲现象.同时数值结果揭示了临界载荷和屈曲模态的规律及影响因素.
In this paper, a new method, Hamiltonian method, is proposed for the dynamic local buckling of a flexible cylindrical shell subjected to axial impulsive impact. By constructing a Hamiltonian system, the critical load and dynamic buckling modes are summarized in symplectic space as Symplectic eigenvalue and eigenvalue problem.The critical loads of cylindrical shell buckling are found to be divided into two categories, which respectively correspond to the buckling and buckling buckling of the cylindrical shell.The symplectic solutions reflect the local compression buckling mode and transverse buckling buckling mode. The results show that the buckling phenomenon of bamboo slender and bending bamboo slippage are physically exhibited, while the numerical results reveal the laws and influencing factors of critical load and buckling mode.