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

[1]	Lee L H N. Dynamic buckling of an inelastic columm[J].Internat J Solids Structures,1981,17(2):271～279.
[2]	Lee L H N. On dynamic stability and quasi-bifurcation[J].Interanat J Non-Linear Mech,1981,16(1):79～87.
[3]	Lee L H N. Quasi-bifurcation in dynamic of elastic-plastic continua[J].J Appl Mech,1977,44(3):413～418.
[4]	徐新生,苏先樾,王仁.轴向应力波与弹塑性材料圆柱壳的动力屈曲[J].中国科学(A辑),1995,25(2):166～173.
[5]	韩强,马宏伟,张善元,等.冲击扭矩作用下弹性圆柱壳中应力波导致的动力屈曲问题[J].应用数学和力学,1996,17(1):1～7.
[6]	马宏伟,韩强,张善元,等.受轴向冲击有限长弹性直杆中应力波引起的分叉问题[J].爆炸与冲击,1995,15(4):300～306。