| DYNAMIC BUCKLING OF ELASTIC-PLASTIC COLUMN IMPACTED BY RIGID BODY |
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| 作者姓名： | 韩志军 程国强 马宏伟 张善元 |
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| 作者单位： | Institute of Applied Mechanics Taiyuan University of Technology Taiyuan 030024，P. R. China，Institute of Applied Mechanics Taiyuan University of Technology，Taiyuan 030024，P. R. China，Institute of Applied Mechanics Taiyuan University of Technology，Taiyuan 030024，P. R. China，Institute of Applied Mechanics Taiyuan University of Technology，Taiyuan 030024，P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China., （No.10472076） |
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| 摘 要： | The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body was 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 analyze the problem was developed by taking into account the effect of elastic-plastic stress wave. The power series solution of this problem has been the power series approach. The buckling criterion of this problem was proposed by analyzing the characteristics of the solution. The relationship among critical velocity and impact mass, critical buckling length, hardening modulus was given by using theoretical analysis and numerical computation.
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| 关 键 词： | 动态屈曲 应力波 临界标准 功率级数 |
| 收稿时间： | 2004-04-23 |
| 修稿时间： | 2005-09-12 |
Dynamic buckling of elastic-plastic column impacted by rigid body |
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| Zhi-jun Han,Guo-qiang Cheng,Hong-wei Ma,Shan-yuan Zhang.DYNAMIC BUCKLING OF ELASTIC-PLASTIC COLUMN IMPACTED BY RIGID BODY[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):377-382. |
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| Authors: | Zhi-jun Han Guo-qiang Cheng Hong-wei Ma Shan-yuan Zhang |
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| Institution: | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024 , P. R. China |
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| Abstract: | The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body was 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 analyze the problem was developed by taking into account the effect of elastic-plastic stress wave. The power series solution of this problem has been the power series approach. The buckling criterion of this problem was proposed by analyzing the characteristics of the solution. The relationship among critical velocity and impact mass, critical buckling length, hardening modulus was given by using theoretical analysis and numerical computation. |
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| Keywords: | dynamic buckling stress wave critical criteria power series |
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