Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body

HAN Zhi-jun; CHENG Guo-qiang; MA Hong-wei; ZHANG Shan-yuan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(3): 337-341

HAN Zhi-jun, CHENG Guo-qiang, MA Hong-wei, ZHANG Shan-yuan. Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(3): 337-341.

Citation:

HAN Zhi-jun, CHENG Guo-qiang, MA Hong-wei, ZHANG Shan-yuan. Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(3): 337-341.

Citation:

HAN Zhi-jun, CHENG Guo-qiang, MA Hong-wei, ZHANG Shan-yuan. Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(3): 337-341.

PDF( 231 KB)

Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received Date: 2004-04-23
Rev Recd Date: 2005-09-12
Publish Date: 2006-03-15

Abstract

Abstract

The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body is discussed by using the energy law.The traveling process of elastic-plastic waves under impact action was analyzed by characteristics method.The equation of lateral disturbance used to analyize the problem is developed by taking into account the effect of elastic-plastic stress wave.The power series solution of this problem has been reached in theory iwth the power series approach.The buckling criterion of this problem is proposed by analyzing the characteristics of the solution.The relationship among critical velocity and impact mass,critical buckling length,hardening modulus is given by using theoretical analysis and numerical computation.
- dynamic buckling,
- stress wave,
- critical criterion,
- power series

FullText(HTML)

References(11)

References

[1]	Lindberg H E.Impact buckling of a thin bar[J].Journal of Applied Mechanics,1965,32(2):315—322. doi: 10.1115/1.3625801
[2]	朱兆祥.应力波引起的弹性结构屈曲准则[A].见：余同希,王大钧编.塑性力学和地球动力学文集[C].北京：北京大学出版社，1990,56—70.
[3]	魏勇，朱兆祥，李永池.轴向冲击下载荷作用下直杆弹性动态屈曲研究[J].实验力学，1988，3（3）：258—263.
[4]	汤立群，朱兆祥.弹性直杆动态屈曲和后屈曲的实验研究[J].爆炸与冲击，1998，18（2）：97—102.
[5]	马宏伟，韩强，张善元，等.受轴向冲击有限长弹性直杆中应用波引起的分叉问题[J].爆炸与冲击,1995,15(4):300—305.
[6]	韩强，武际可，张善元,等.直杆中应力波传播引起分叉问题[J].力学学报，1998，30（4）：414—422.
[7]	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.
[8]	王安稳.弹性压应力波下直杆动力失稳的机理和判据[J].力学学报，2001，33（6）：812—820.
[9]	Ari-Cur J,Weller T,Singer J.Experimental and theoretical studies of columns under axial impact[J].Int J Solids Structures,1982,18(7):619—641. doi: 10.1016/0020-7683(82)90044-0
[10]	Karagiozova D,Jones N.Dynamic elastic-plastic buckling phenomena in a rod due to axial impact[J].Int J Impact Engng,1996,18(7/8):919—947. doi: 10.1016/S0734-743X(96)00035-8
[11]	HAN Zhi-jun,WANG Jing-chao,CHENG Guo-qiang,et al.The dynamic buckling of elastic bar impacted by a rigid body[A].In:CHIEN Wei-zang Ed.Proc of Icnm-Ⅳ[C].Shanghai:Shanghai University Press,2002:576—579.