大学物理 ›› 2013, Vol. 32 ›› Issue (1): 33-33.

• 著者文摘 • 上一篇    下一篇

椭圆旋轮线

陶涛 邱为钢   

  1. 湖州师范学院理学院,浙江湖州313000
  • 出版日期:2013-01-20 发布日期:2013-01-20

The ellipitical cycloid

  • Online:2013-01-20 Published:2013-01-20

摘要: 一条光滑曲线在另一条光滑曲线上无滑动滚动,滚动曲线上一点的轨迹就是广义旋轮线.利用弧长坐标,给出了广义旋轮线的轨迹方程.对于椭圆,画出了椭圆旋轮线轨迹.

关键词: 旋轮线, 弧长坐标, 椭圆

Abstract: A smooth curve rolls without slipping outside another smooth curve. The orbit travelled by the fixedpoint on the rolling curve is a generalized cycloid. The equation of cycloid can be obtained by the arc-length coordinate. For the ellipse case, the ellipitical cycloid is drawn.

Key words: cycloid, arc-length coordinate, ellipse

中图分类号: 

  • O411.1