大学物理 ›› 2017, Vol. 36 ›› Issue (12): 54-56.doi: 10.16854/j.cnki.1000-0712.2017.12.014

• 大学生园地 • 上一篇    下一篇

星形和椭圆三轮车

姜 雯,邱为钢   

  1. 1.湖州师范学院理学院物理系,浙江湖州 313000; 2.湖州师范学院物理视觉工作室,浙江湖州 313000
  • 收稿日期:2017-01-31 修回日期:2017-04-19 出版日期:2017-12-20 发布日期:2017-12-20
  • 作者简介:姜雯(1994—),女,浙江海宁人,湖州师范学院理学院2013级本科生.
  • 基金资助:
    湖州师范学院2016年度大学生创新创业训练计划项目;高等学校力学课程教学研究项目(JZW-15-LX-15);湖州师范学院教改项目(JGB16022)资助

Tricycle of star and elliptical type

JIANG Wen1,QIU Wei-gang1,2   

  1. 1.Department of Physics,Huzhou Teachers College,Huzhou,Zhejiang 313000,China; 2.Physical Visual Effects Studio,Huzhou Teachers College,Huzhou,Zhejiang,313000,China
  • Received:2017-01-31 Revised:2017-04-19 Online:2017-12-20 Published:2017-12-20

摘要: 把车轮滚动分解为车轮质心的平动和绕质心轴的转动.由车轮与轨道接触点的速度为零,以及车轮质心高度不变条件,得到了车轮和轨道与转动角的参数方程.以椭圆车轮和锯齿状轨道为例,得到了星形和椭圆三轮车的动画模拟和实际模型.

关键词: 车轮, 轨道, 椭圆

Abstract: The rolling motion of wheel is decomposed into placement of center of mass(COM)and rotation around the COM axis.The parametric equation of wheel and road is deduced from the conditions that velocity of contact point is equal to zero and the height of COM is constant.An example of tricycle of elliptical wheel and see-saw road is given.The animation of rolling and model are also given.

Key words: wheel, road, ellips