| 刚性块轴向撞击杆的弹塑性动力屈曲 |
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| 引用本文： | 韩志军,王景超,程国强,马宏伟,张善元.刚性块轴向撞击杆的弹塑性动力屈曲[J].固体力学学报,2005,26(4):391-397. |
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| 作者姓名： | 韩志军 王景超 程国强 马宏伟 张善元 |
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| 作者单位： | 太原理工大学应用力学研究所,太原,030024 |
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| 基金项目： | 国家自然科学基金（10472076）,山西省自然科学基金（20031011）资助. |
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| 摘 要： | 用特征线法分析了刚性块轴向撞击弹塑性直杆时应力波传播的全过程，得到了杆冲击端与固定端应力的变化规律及刚性块与杆首次分离的时间．基于能量原理，考虑了弹塑性应力波的传播与反射，建立了弹塑性杆在刚性块轴向撞击下的横向扰动方程，给出了问题的级数解，由解的稳定性得到了发生屈曲时的临界条件；通过数值计算和分析，给出了临界速度与冲击质量、线性强化模量及临界时间间的关系．
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| 关 键 词： | 动力屈曲 应力波 临界条件 幂级数 |
| 收稿时间： | 2004-09-16 |
| 修稿时间： | 2005-04-26 |
THE DYNAMIC BUCKLING OF ELASTIC-PLASTIC COLUMN SUBJECTED TO AXIAL IMPACT BY A RIGID BODY |
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| Han Zhijun,Wang Jingchao,Cheng Guoqiang,Ma Hongwei,Zhang Shanyuan.THE DYNAMIC BUCKLING OF ELASTIC-PLASTIC COLUMN SUBJECTED TO AXIAL IMPACT BY A RIGID BODY[J].Acta Mechnica Solida Sinica,2005,26(4):391-397. |
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| Authors: | Han Zhijun Wang Jingchao Cheng Guoqiang Ma Hongwei Zhang Shanyuan |
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| Institution: | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan, 030024 |
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| Abstract: | The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed.The whole traveling process of elastic-plastic waves under impact action was analyzed by characteristics method.The regularity of stress changes in both column ends and the first separating time of a rigid body and column are obtained.Using the energy principle and taking into account the propagation and reflection of stress waves the lateral disturbance equation was derived and the power series solution was given.In addition the critical buckling condition can be obtained from stability analysis of the solution.By numerical computation and analysis the relationship among critical velocity and impact mass,hardening modulus,buckling time was given. |
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| Keywords: | dynamic buckling stress wave critical criteria power series solution |
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