全部

力学与实践 ›› 2014, Vol. 36 ›› Issue (5): 639-641,646.doi: 10.6052/1000-0879-13-432

• 应用研究 • 上一篇    下一篇

圆锥曲线的静力学性质

徐康   

  1. 三峡大学土木与建筑学院, 湖北宜昌 443002
  • 收稿日期:2013-10-23 修回日期:2013-12-15 出版日期:2014-10-15 发布日期:2014-02-25
  • 通讯作者: 徐康,E-mail:whdx657159803@163.com E-mail:whdx657159803@163.com

THE STATIC PROPERTIES OF CONIC CURVE

XU Kang   

  1. School of Civil Engineering and Architecture, China Three Gorges University, Hubei, Yichang 443002, China
  • Received:2013-10-23 Revised:2013-12-15 Online:2014-10-15 Published:2014-02-25

摘要:

利用解析几何与分析力学,得出均质细杆处在光滑的圆锥曲线内壁中受力平衡和处于稳定平衡状态的条件,并得出圆锥曲线的静力学性质:将均质细杆过焦点倾斜放入光滑的圆锥曲线内壁中,细杆受力平衡且处于稳定平衡状态。另外用圆锥曲线的光学性质证明其静力学性质。

关键词:

圆锥曲线|解析几何|分析力学|稳定平衡|静力学性质

Abstract:

This paper uses analytical geometry and analytical mechanics to obtain the conditions of a homo-geneous slender rod in a state of balance and in the stable equilibrium when it is in the inner wall of a smooth conic curve , as well as the static properties of the conic curve. When the homogeneous slender rod goes through the focus and is in the inner wall of a smooth conic curve aslant, the homogeneous slender rod will be in a state of stable equilibrium. Its mechanical properties are also proven by using its optical properties.

Key words:

conic curve|analytical geometry|analytical mechanics|stable equilibrium|statics property

中图分类号: 

  • O316