偏心圆轮沿斜面纯滚动至连续弹跳的动力学分析

详细信息

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

Department of Engineering Mechanics, College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082,China

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。
- 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.
- eccentric wheel /
- pure rolling /
- bouncing /
- collision /
- mechanics competition

[1]	任毅如, 方棋洪, 肖万伸等. 第十一届全国周培源力学竞赛“理论设计与操作”团体赛命题和竞赛总结, 力学与实践, 2018, 40(5): 599-608Ren Yiru, Fang Qiqi, Xiao Wanshen, et al.The summing up on the question setting and contest results for the group events of `Theoretical Design and Operation' in the 11th National Zhou Peiyuan Mechanics Competition for Students. Mechanics in Engineering, 2018, 40(5): 599-608 (in Chinese)
[2]	《力学与实践》编辑部. 第七届全国周培源大学生力学竞赛试题.力学与实践,2009,31(4): 103-105Editorial Department of Mechanics inEngineering. The 7th National Zhou Peiyuan College Students MechanicsCompetition test. Mechanics in Engineering, 2009,31(4): 103-105 (inChinese)
[3]	高云峰,蒋持平. 全国大学生力学竞赛赛题详解及点评(2015年版).北京:机械工业出版社, 2015Gao Yunfeng, Jiang Chiping.DetailedExplanation And Comments on the National College Student MechanicsCompetition (2015 edition). Beijing: Mechanical Industry Press, 2015(inChinese)
[4]	陈小亮. 圆环跳滚现象的力学分析.力学与实践, 2010, 32(6): 120-121Chen Xiaoliang.Mechanical analysis on jumping and rolling of circular rings.Mechanics in Engineering, 2010, 32(6): 120-121 (in Chinese)