基于应力波理论，用半解析半数值方法对轴向时变冲击载荷作用下的直杆进行研究，给出了一种利用压应力波前附加约束条件求解轴向时变载荷作用下直杆弹性动力屈曲问题的方法。以三角脉冲载荷作用下的直杆为例，对其临界屈曲长度、初始屈曲模态和动力特征参数进行了求解，探讨了脉冲载荷峰值和载荷持续时间对临界屈曲长度和屈曲模态的影响。总结了三角脉冲载荷作用下直杆弹性动力屈曲的规律，并与阶跃载荷作用下的情况进行对比分析，结果与之前文献研究结果吻合良好。
Abstract
The dynamic buckling problem of elastic columns under axial time-varying impulsive load is investigated on the basis of the stress wave theory. A semi-analytical and semi-numerical method is furnished to solve this kind of problems by use of a supplementary restraint equation derived at the stress wave front. The straight column under triangular pulse load is investigated as an example. The critical buckling length, initial buckling mode and the value of the dynamic parameter is calculated and the influence of peak value and duration of the pulse load is also discussed. The feature of the buckling deformation of the column under triangular pulse load is summarized compared with that under step load.
关键词
动力屈曲 /
弹性直杆 /
时变冲击载荷 /
临界屈曲长度 /
应力波
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Key words
dynamic buckling /
elastic column /
time-varying impulsive load /
critical buckling length /
stress wave
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参考文献
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