轴向冲击下理想塑性直杆动态屈曲的过应力简化分析模型<sup>*</sup>

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轴向冲击下理想塑性直杆动态屈曲的过应力简化分析模型^*

基金项目: *华中理工大学青年科学基金

Department of Mechanics Huazhong University of Science and Technology, Wuhan 430074, P. R. China

摘要: 本文在理想塑性直杆的动态屈曲分析中引入应变率效应,得到相应的动力学微分方程,求出了屈曲半波长,临界载荷和屈曲时间的表达式.讨论了应变率效应对杆的塑性动态屈曲的影响.并与文[4]的理论和试验结果作了比较.
- 应变率效应 /
- 理想塑性 /
- 杆 /
- 动态屈曲
Abstract: This paper introduces the strain-rate effects in the analysis of dynamic buckling of a perfectly plastic cohoumn.The corresponding differential equation of dynamics is deduced.The expressions of half-wave length of buckling mode.critical load and time of buckling are obtained.Discussion on the strain-rate effect on the plastic dynamic buckling of a column is presented.The results of this paper are compared with those of the theory and experiment in[4].
- strain rate effect /
- perfectly plastic /
- column dynamic buckling /

[1]	杨桂通、熊祝华编著,《塑性动力学》,清华大学出版社(1984).
[2]	王仁,冲击载荷下结构塑性稳定性的研究,《冲击动力学进展》,中国科技大学出版社(1992).
[3]	L.E.Malvern,Plastic wave propagation in a bar as material exhibiting a strain-rateeffect,Q.Appl.Math.,8(1951),405.,The propagation of longitudinal waves of plastic deformation in a bar of materialexhibiting a strain-rate effect,J.Appl.Mech.,June(1951),203-208.
[4]	R.Abrahamson and J.N.Goodier,Dynamic flexural buckling of rods within an axialplastic compression wave,J.Appl.Mech.,33(1966),241-247.