| 变截面变轴力悬臂柱稳定性计算方法 |
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| 引用本文： | 王辉,郭一斌,仇新意,吴凤珍.变截面变轴力悬臂柱稳定性计算方法[J].河南科学,2012,30(7):926-929. |
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| 作者姓名： | 王辉 郭一斌 仇新意 吴凤珍 |
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| 作者单位： | 1. 河南工业大学,郑州,450001
2. 天津大学,天津300072;郑州航空工业管理学院,郑州450015 |
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| 基金项目： | 河南工业大学研究生教育创新计划基金 |
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| 摘 要： | 介绍了等效刚度和等效负刚度的概念,通过等效刚度法和等效负刚度法建立了变截面变轴力悬臂柱与等截面柱顶力悬臂柱的等效关系,对变截面变轴力稳定性问题进行解答并给出了计算公式.通过ABAQUS有限元软件对公式计算结果进行验证,结果表明:公式计算结果相对有限元法求解结果略偏小,但其相对误差在0.6%～6.5%范围内且该公式具有一定的精度,可供计算变截面变轴力稳定问题.
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| 关 键 词： | 变截面 变轴力 等效刚度 等效负刚度 有限元 |
Calculation Method for Stability of Cantilever Column with Varying Cross-section and Varying Axial Force |
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| Wang Hui
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Guo Yibin
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Qiu Xinyi
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Wu Fengzhen.Calculation Method for Stability of Cantilever Column with Varying Cross-section and Varying Axial Force[J].Henan Science,2012,30(7):926-929. |
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| Authors: | Wang Hui Guo Yibin Qiu Xinyi Wu Fengzhen |
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| Institution: | 1(1.Henan University of Technology,Zhengzhou 450001,China;2.Tianjin University,Tianjin 300072,China; 3.Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450015,China) |
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| Abstract: | The concept of equivalent stiffness and equivalent negative stiffness is introduced in this paper.The equivalent relationship between cantilever column with variable cross-section,variable axial force and cantilever column with constant cross-section is established.In the same time,the stability problem of cantilever column with variable cross-section and variable axial force is solved and the calculation formula is put forward.By verifying the results of the calculation formula with ABAQUS,conclusion shows that the calculation formula is sufficiently accurate to cope with the stability problem although relative error is 0.6%～6.5% and its calculation values are lower than the results of ABAQUS. |
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| Keywords: | varying cross-section varying axial force equivalent stiffness equivalent negative stiffness finite element |
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