| 弹性压应力波下直杆分又动力失稳特征值有限元分析 |
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| 引用本文： | 郑波 王安稳. 弹性压应力波下直杆分又动力失稳特征值有限元分析[J]. 工程力学, 2006, 23(12): 36-40 |
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| 作者姓名： | 郑波 王安稳 |
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| 作者单位： | 海军工程大学理学院力学系,武汉430033 |
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| 基金项目： | 国家自然科学基金资助项目（10272114） |
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| 摘 要： | 运用有限元特征值分析方法对弹性压应力波作用下直杆分叉动力失稳问题进行了研究。基于应力波理论和相邻平衡准则导出了直杆动力失稳时的有限元特征方程，把弹性直杆的动力失稳问题归结为特征值问题。通过引入直杆动力失稳时的波前约束条件实现了此类问题的有限元特征值解法。
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| 关 键 词： | 力学 新方法 有限元 动力屈曲 应力波 弹性杆 |
| 文章编号： | 1000-4750（2006）12-0036-05 |
| 收稿时间： | 2005-04-25 |
| 修稿时间： | 2005-04-252005-10-07 |
FINITE ELEMENT CHARACTER-VALUE ANALYSIS FOR DYNAMIC BUCKLING OF BARS UNDER ELASTIC COMPRESSION WAVE |
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| ZHENG Bo, WANG An-wen. FINITE ELEMENT CHARACTER-VALUE ANALYSIS FOR DYNAMIC BUCKLING OF BARS UNDER ELASTIC COMPRESSION WAVE[J]. Engineering Mechanics, 2006, 23(12): 36-40 |
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| Authors: | ZHENG Bo WANG An-wen |
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| Affiliation: | Department of Mechanics, Naval University of Engineering, Wuhan; Hubei 430033, China |
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| Abstract: | The finite element character-value method is used to study the dynamic buckling of bars under elastic compression wave. The finite element characteristic equations are derived based on the adjacent-equilibrium criterion. In these equations, the compression wave propagation and the transverse inertia effect are taken into consideration. By using the dynamic buckling supplementary restraint conditions at the compression wave front of bars at the instant of buckling, the critical-load and dynamic buckling modes of bars are calculated from the solutions of the finite element characteristic equations. |
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| Keywords: | mechanics new method finite element dynamic buckling stress wave elastic bar |
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