| 再论从一个怪例看细长梁理论的基本假定 |
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| 引用本文： | 何斌,张慧玲,范钦珊.再论从一个怪例看细长梁理论的基本假定[J].力学与实践,2011,33(6):79-80. |
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| 作者姓名： | 何斌 张慧玲 范钦珊 |
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| 作者单位： | 1. 南京工业大学力学部，211816;2. 南京工业大学力学部;3. 清华大学工程力学系; |
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| 基金项目： | 南京工业大学学科基金项目,南京工业大学教改项目 |
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| 摘 要： | 针对均布力偶作用下两端固支欧拉梁挠度为零的状态, 通过欧拉梁挠度的四
阶微分方程分析欧拉梁挠度为零的本质. 再考虑6种边界下均布力偶作用下的欧拉梁, 发现
边界条件中剪力是否为零起决定性作用.
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| 关 键 词： | 欧拉梁 四阶微分方程 挠度 |
| 收稿时间： | 2011-01-06 |
On from an unusual example to basic assumption of slender beam's theory again |
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| Bin He,Huiling Zhang,Qinshan Fan.On from an unusual example to basic assumption of slender beam's theory again[J].Mechanics and Engineering,2011,33(6):79-80. |
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| Authors: | Bin He Huiling Zhang Qinshan Fan |
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| Abstract: | As for the state of zero deflection of clamp-clamp Euler
beam acted on uniform distributed couple only, the inherent factors to
induce this zero deflection can be analyzed by forth order differential
equation of deflection of Euler beam that take into the effect of
distributed force and couple. Then Euler beam acted on uniform distributed
couple with the six kinds of classic boundary condition has been analyzed.
The key factor inducing the zero deflection of Euler beam acted on uniform
distributed couple only can be found is whether shear force in boundary
condition equal to zero. |
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| Keywords: | Euler beam forth order differential equation deflection |
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