| 载荷作用下对称结构的内力和位移 |
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| 引用本文： | 蒋中祥. 载荷作用下对称结构的内力和位移[J]. 力学与实践, 2014, 36(5): 633-635. doi: 10.6052/1000-0879-13-389 |
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| 作者姓名： | 蒋中祥 |
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| 作者单位： | 北京建筑大学土木与交通学院, 北京 100044 |
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| 摘 要： | 对称结构在对称载荷作用下，内力和位移对称；在反对称载荷作用下，内力和位移反对称。这是利用对称性简化结构计算的根据。该文用更能反映对称性数学本质的方法，证明了上述结论。这一工作将使结构力学中对称性利用的叙述更简洁，逻辑更严密。以此为基础，对载荷作用下对称结构的内力和位移的理论进行了整理。
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| 关 键 词： | 结构力学 对称性 内力计算 位移计算 |
| 收稿时间： | 2013-09-23 |
| 修稿时间： | 2013-10-24 |
INTERNAL FORCE AND DISPLACEMENT OF A SYMMETRIC STRUCTURE UNDER LOAD |
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| JIANG Zhongxiang. INTERNAL FORCE AND DISPLACEMENT OF A SYMMETRIC STRUCTURE UNDER LOAD[J]. Mechanics in Engineering, 2014, 36(5): 633-635. doi: 10.6052/1000-0879-13-389 |
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| Authors: | JIANG Zhongxiang |
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| Affiliation: | School of Civil and Transportation Engineering, Beijing University of Engineering and Architecture, Beijing 100044, China |
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| Abstract: | For a symmetrical structure under symmetrical load, the internal force and the displacement are symmetrical; under anti-symmetric loads, the internal force and the displacement are anti-symmetrical. Accord-ingly, the structural analysis can be simplified. In this paper the above conclusions are proved mathematically.On this basis, the theory of the internal forces and the displacements of a symmetrical structure under an arbitrary load is discussed. |
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| Keywords: | structural mechanics symmetry internal force calculation calculation of displacement |
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