流-固冲击载荷作用下直杆弹性动力屈曲研究

Dynamic elastic buckling of columns under axial solid-fluid impact loading

基于应力波理论,对轴向流-固冲击载荷作用下的直杆进行了研究,根据能量转换率守恒条件导出了求解直杆动力学平衡方程的波前附加约束条件,给出了一种定量求解流-固冲击载荷作用下直杆弹性动力屈曲问题的半解析半数值方法。用差分法定量求解了直杆临界屈曲长度、动力特征参数和屈曲模态,分析了流-固冲击载荷作用下直杆弹性动力屈曲的规律,分析结果表明:载荷幅值和载荷持续时间对临界屈曲长度和屈曲模态具有重要影响。

Based on the stress wave theory, the study on dynamic buckling of elastic columns under axial solid-fluid impact loading is made. A supplementary restraint equation is derived at the stress wave front. A semi-analytical and semi-numerical method is proposed to solve this kind of problems. The critical buckling length, initial buckling mode and the value of the dynamic parameter are calcu- lated quantitatively. The feature of the buckling deformation of the column under axial solid-fluid im- pact loading is analyzed, and the results show that the peak value and duration of the load are of great importance to the critical buckling length and the initial buckling mode.