轴向弹塑性应力波作用下直杆中的分叉问题

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基金项目: 国家自然科学基金项目(19672038)

The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation

1.
Institute of Vibration Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P R China;
2.
Taiyuan University of Technology, Taiyuan 030024, P R China

摘要: 考虑了一个弹塑性直杆的动力屈曲问题,将其归结为轴向阶跃应力波的传播导致的分叉问题,分析了横向惯性效应的影响,并考虑了应力波反射的作用,给出了相应的屈曲条件,最后进行了数值分析,从中得到了一些有益的结论。
- 分叉 /
- 应力波 /
- 动力屈曲
Abstract: In this paper, the dynamic buckling of an elstic-plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave. The critical buckling condition is given and the reflection of the elastic-plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.
- bifurcation /
- stress wave /
- dynamic buckling

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