| 轴向弹塑性应力波作用下直杆中的分叉问题 |
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| 引用本文： | 韩强,胡海岩,杨桂通.轴向弹塑性应力波作用下直杆中的分叉问题[J].应用数学和力学,1999,20(6):569-578. |
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| 作者姓名： | 韩强 胡海岩 杨桂通 |
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| 作者单位： | 1.南京航空航天大学振动工程研究所, 南京 210016; |
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| 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。
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| 关 键 词： | 分叉 应力波 动力屈曲 |
| 收稿时间： | 1998-04-14 |
The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation |
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| Han Qiang,Hu Haiyan,Yang Guitong.The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation[J].Applied Mathematics and Mechanics,1999,20(6):569-578. |
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| Authors: | Han Qiang Hu Haiyan Yang Guitong |
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| Institution: | 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 |
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| 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. |
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| Keywords: | bifurcation stress wave dynamic buckling |
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