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力学与实践 ›› 2019, Vol. 41 ›› Issue (1): 72-75.doi: 10.6052/1000-0879-18-116

• 教育研究 • 上一篇    下一篇

偏心圆轮沿斜面纯滚动至连续弹跳的动力学分析

彭凡1), 刘文洋, 方棋洪, 任毅如2)   

  1. 湖南大学机械与运载工程学院工程力学系,长沙 410082
  • 收稿日期:2018-03-26 出版日期:2019-02-20
  • 通讯作者: 1)彭凡, 教授。 E-mail: fanpeng@hnu.edu.cn; 2)任毅如, 副教授。 E-mail: renyiru@hnu.edu.cn

DYNAMIC ANALYSIS OF ECCENTRIC WHEELS ALONG SLOPE FROM PURE ROLLING TO CONTINUOUS BOUNCING

Peng Fan1), Liu Wenyang, Fang Qihong, Ren Yiru2)   

  1. Department of Engineering Mechanics, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082,China
  • Received:2018-03-26 Online:2019-02-20

摘要: 研究了第十一届全国周培源大学生力学竞赛团体赛中轮子跳高试题的偏心圆轮方案,建立了无初速度释放的偏心圆轮沿斜面纯滚动到连续跳动的动力学理论模型,分析了弹跳现象的产生条件,研究了纯滚动到连续弹跳的动力学过程,给出了斜面倾角、初始释放角和摩擦系数等因素对跳跃行为的影响。

关键词: 偏心轮, 纯滚动, 跳动, 碰撞, 力学竞赛

Abstract: The high jump test of eccentric wheels in the team competition of the 11th National Zhou Peiyuan Competition on Mechanics is investigated. The dynamical model of the eccentric wheel rolling and bouncing on a slope is built. The bouncing condition is analyzed and obtained. The dynamical process from pure rolling to continuous bouncing after releasing without an initial velocity is studied. The influence of the inclined angle, the initial release angle and the friction coefficient on the bouncing behavior is revealed.

Key words: eccentric wheel, pure rolling, bouncing, collision, mechanics competition

中图分类号: 

  • O31