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轴向冲击载荷作用下弹性圆柱壳横向弯曲动态屈曲

Dynamic flexure buckling of elastic cylindrical shells under axial impact

  • 摘要: 研究在轴向冲击载荷下弹性圆柱壳动态屈曲问题. 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. 辛本征解反映了局部的压缩屈曲模态和整体的弯曲屈曲模态, 特别是在冲击端为自由支承边界时的特殊屈曲方式.数值结果给出了具体的临界载荷和屈曲模态规律.

     

    Abstract: In this paper, the dynamic buckling of elasticcylindrical shells, which are impacted by axial load on one end, is studied.By introducing Hamiltonian system to the problem, critical loads andbuckling modes are reduced to the problems of eigenvalues andeigensolutions, respectively. In the system, symplectic eigensolutions aregrouped into two classes: the local compressive buckling and global flexurebuckling. Especially, when the impacted boundary is free, buckling modeshave special forms. Numerical results show some rules about the curves ofcritical load and corresponding buckling modes.

     

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