摘要
通过堆叠每层3个网球和顶层1个网球构成的“3n+1”式网球塔,研究了影响其稳定性的因素.在理想情况下,从静力学和动力学角度出发,探讨了影响其稳定性的相关参数,发现底部网球所受的压力与其高度呈正相关,网球间的静摩擦系数随着压力的增加而减小,结合实验一结果,得出能量亏损与层数呈反函数关系,说明网球塔无搭建层数的上限.在考虑干扰因素的情况下,实验二的图像显示搭建2~8层网球塔的成功率呈指数函数下降,结合对网球间接触模型和力链结构的分析,得到了底部网球的接触力随着力链长度的增加呈指数型增加并确定了网球塔的极限高度为10层.
The factors influencing the stability of the“3 n+1”style tennis tower,constructed by stacking three tennis balls per layer with one tennis ball on top,are investigated.Under ideal conditions,the presnt study explores the relevant parameters affecting its stability from both statics and dynamics perspectives.It is found that the pressure on the bottom tennis ball is positively correlated with its height,and the static friction coefficient between the tennis balls decreases with increasing pressure.Combining these findings with the results of experiment 1,it is concluded that the energy loss is inversely proportional tOthe number of layers,suggesting that there is nOupper limit tOthe number of layers in the tennis tower.Taking intOaccount the interference factors,the experiment 2 demonstrates an exponential decrease in the success rate of constructing tennis towers with 2~8 layers.Through analysis of the contact model between tennis balls and the force chain structure,it is determined that the contact force on the bottom tennis ball increases exponentially with the length of the force chain.Ultimately,the maximum height of the tennis tower is determined tObe 10 layers.
作者
刘鹏宇
刘鹏飞
于贵华
蒋雯科
张天雨
LIU Peng-yu;LIU Peng-fei;YU Gui-hua;JIANG Wen-ke;ZHANG Tian-yu(School of Science,Shenyang University of Technology,Shenyang,Liaoning 110870,China;School of Mechanical Engineering,Liaoning Petrochemical University,Fushun,Liaoning 113001,China;School of Information and Control Engineering,Liaoning Petrochemical University,Fushun,Liaoning 113001,China)
出处
《大学物理》
2024年第9期78-84,共7页
College Physics
基金
辽宁省自然科学基金计划项目(2023-BS-185)
辽宁省教育厅科学技术研究项目(LJKZ0384)资助。
