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在Hamilton函数中考虑应力波的影响,研究冲击扭转载荷作用下弹性圆柱壳的动态屈曲。采用辛方法将基本方程转化为对偶变量的Hamilton典型方程。在辛空间将临界扭转和屈曲模式分别简化为求解辛本征值和本征解问题。主要影响因素有冲击时间、边界条件和厚度等,通过数值算例对这些因素进行了详细讨论。研究结果表明,边界条件的影响有限(自由边界条件除外)。在壳体自由端能够观察到局部动态屈曲模式。新的分析和数值模拟结果可作为壳结构的安全设计准则。
In the Hamilton function, the influence of stress wave is considered and the dynamic buckling of the elastic cylindrical shell under the impact torsional load is studied. The Hamilton equation that converts the basic equation to the dual variable by the symplectic method. In the symplectic space, the critical torsion and buckling modes are reduced to solving symplectic eigenvalue and eigenvalue problems respectively. The main influencing factors are impact time, boundary conditions and thickness, etc. These factors are discussed in detail through numerical examples. The results show that the influence of boundary conditions is limited (except for free boundary conditions). A local dynamic buckling mode can be observed at the free end of the housing. New analysis and numerical simulation results can be used as a safety design guideline for shell structures.