| 均布力偶作用下细长梁力学分析 |
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| 引用本文： | 何斌,范钦珊,张慧玲.均布力偶作用下细长梁力学分析[J].固体力学学报,2011,32(5):534-540. |
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| 作者姓名： | 何斌 范钦珊 张慧玲 |
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| 作者单位： | 1. 南京工业大学2. 清华大学工程力学系3. |
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| 基金项目： | 江苏省自然科学基金项目(BK2008370); 南京工业大学科学基金项目资助 |
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| 摘 要： | 通过铁木辛柯梁理论分析了反向均布表面剪应力——等效均匀分布力偶作用下的等截面均质细长梁挠度和应力分布规律，并与有限元法的计算结果对比发现：当边界条件中剪力不为零时，弯曲挠度和正应力分析必须考虑剪力的影响，即Euler梁理论不能满足分析的要求；若存在剪力为零边界时，可使用Euler梁分析弯曲挠度和正应力；剪应力分布向通常规律一样，仍沿高度方向呈抛物线分布，即使对于剪力为零的横截面也可能存在剪应力，这是由于表面剪应力的影响使得梁的上下表面存在剪应力，并且剪应力在横截面内正负可以发生变化。
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| 关 键 词： | 铁木辛柯梁 正应力 剪应力 |
| 收稿时间： | 2010-04-02 |
MECHANICAL ANALYSIS OF UNIFORM SLENDER BEAM ACTED BY UNIFORM COUPLE |
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| Bin He,Qinshan Fan,Huiling Zhang.MECHANICAL ANALYSIS OF UNIFORM SLENDER BEAM ACTED BY UNIFORM COUPLE[J].Acta Mechnica Solida Sinica,2011,32(5):534-540. |
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| Authors: | Bin He Qinshan Fan Huiling Zhang |
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| Institution: | Bin He1 Qinshan Fan1,2 Huiling Zhang1(1 Division of Mechanics,Nanjing University of Technology,Nanjing,211816)(2 Department of Engineering Mechanics,School of Aerospace,FML,Tsinghua University,Beijing,100084) |
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| Abstract: | An interested slender beam with constant section and material is established whose above and bottom surfaces are acted by reversed uniform distributed shear stresses.In engineering beam theory these loads are equivalent with uniform distributed couple.Timoshenko beam theory is used to develop the analytical results of the deflection and stress distribution of this model.And in comparison with the numerical results obtained by finite element method,some useful conclusions can be acquired:(1) when shear force... |
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| Keywords: | Timoshenko beam normal stress shear stress deflection curve |
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