全部

力学与实践 ›› 2009, Vol. 31 ›› Issue (3): 78-79.doi: 10.6052/1000-0992-2007-157

• 教育研究 • 上一篇    下一篇

基于欧拉摩擦的皮带内力分布及载荷变形关系

尤玥   

  1. 复旦大学力学与工程科学系
  • 收稿日期:2007-04-09 修回日期:1900-01-01 出版日期:2009-06-08 发布日期:2009-06-08

Study on the internal force and relation between load and deformation of

  • Received:2007-04-09 Revised:1900-01-01 Online:2009-06-08 Published:2009-06-08

摘要: 围绕圆轮的皮带在达到临界状态前外载增加或降低过程中,局部静摩擦力会发生大小 和方向的改变. 皮带任一点处内力变化可以沿指数曲线增加或减小,取决于加载历史. 皮带 本身是线弹性材料,但变形与力之间是非线性关系,且加载与卸载过程不同,形成滞回圈. 滞回圈内每一点都是皮带可能出现的载荷和变形状态.

关键词: 理论力学, 欧拉摩擦, 内力分布, 加载卸载, 载荷变形关系

Abstract: The value and direction of static friction are various with the external force. Based on the Euler’s friction law, the internal force in a flexible belt surrounded in a fixed cylinder is exponential distribution when it is in critical status, or just before macroscopic slipping. In this paper, the internal force distribution and relation between force and deformation of the belt was studied when the external force loaded and unloaded. The results show that internal force can be increase or decrease in exponent at any point of the belt, which is determined by the loading history; although the belt is linear elastic material, the relation between external force and the total deformation is nonlinear. The relation in unloading process is different to the loading, and a hysteretic loop is produced in the curve of force and deformation. And every point inside the loop is a capable state of the force and deformation of the belt.

Key words: theoretical mechanics, Euler’s friction, internal force in belt, load and unload