力学与实践 ›› 2011, Vol. 33 ›› Issue (6): 79-80.DOI: 10.6052/1000-0879-lxysj2011-007

• 教育研究 • 上一篇    下一篇

再论从一个怪例看细长梁理论的基本假定

何斌1,张慧玲2,范钦珊3   

  1. 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
  • 收稿日期:2011-01-06 修回日期:2011-04-06 出版日期:2011-12-15 发布日期:2011-12-23
  • 通讯作者: 何斌
  • 基金资助:
    南京工业大学学科基金项目

On from an unusual example to basic assumption of slender beam's theory again

Bin He,Huiling Zhang,Qinshan Fan   

  • Received:2011-01-06 Revised:2011-04-06 Online:2011-12-15 Published:2011-12-23
  • Contact: Bin He
  • Supported by:
    Foundation of science of NJUT

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.

关键词: 挠度

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.

Key words: deflection

中图分类号: