THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 604-614.

THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION

韩强¹, 胡海岩¹, 杨桂通²

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

收稿日期:1998-04-14 修回日期:1998-11-10 出版日期:1999-06-18 发布日期:1999-06-18
基金资助:
the National Natural Science Foundation of China(19672038)

THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION

Han Qiang¹, Hu Haiyan¹, Yang Guitong²

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

Received:1998-04-14 Revised:1998-11-10 Online:1999-06-18 Published:1999-06-18
Supported by:
the National Natural Science Foundation of China(19672038)

摘要/Abstract

摘要： In this paper,the dynamic buckling of an elastic-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 bucklin g condition is given and the reflection of th e elastic-plastic stress wave is taken into consideration.In the end,numerical computation and conclusions are presented and obtained.

关键词: bif urcation, stress wave, dynamic buckling

Abstract: In this paper,the dynamic buckling of an elastic-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 bucklin g condition is given and the reflection of th e elastic-plastic stress wave is taken into consideration.In the end,numerical computation and conclusions are presented and obtained.

Key words: bif urcation, stress wave, dynamic buckling

中图分类号:

O311.2

韩强;胡海岩;杨桂通. THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 604-614.

Han Qiang;Hu Haiyan;Yang Guitong. THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 604-614.

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THE BIFURCATION PROBLEM OF COLUMNS CAUSED BY ELASTIC-PLASTIC STRESS WAVE PROPAGATION

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