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力学与实践 ›› 2014, Vol. 36 ›› Issue (5): 633-635.doi: 10.6052/1000-0879-13-389

• 应用研究 • 上一篇    下一篇

载荷作用下对称结构的内力和位移

蒋中祥   

  1. 北京建筑大学土木与交通学院, 北京 100044
  • 收稿日期:2013-09-23 修回日期:2013-10-24 出版日期:2014-10-15 发布日期:2014-11-13
  • 通讯作者: 蒋中祥,E-mail:jzx1@bucea.edu.cn E-mail:jzx1@bucea.edu.cn

INTERNAL FORCE AND DISPLACEMENT OF A SYMMETRIC STRUCTURE UNDER LOAD

JIANG Zhongxiang   

  1. School of Civil and Transportation Engineering, Beijing University of Engineering and Architecture, Beijing 100044, China
  • Received:2013-09-23 Revised:2013-10-24 Online:2014-10-15 Published:2014-11-13

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。

关键词:

结构力学|对称性|内力计算|位移计算

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.

Key words:

structural mechanics|symmetry|internal force calculation|calculation of displacement

中图分类号: 

  • O342