径向摆的运动状态及其混沌状态的研究  

RESEARCH ON THE MOTION STATE AND CHAOTIC STATE OF RADIAL PENDULUM

作　　者：陈宗强 王远 余华 CHEN Zongqiang;WANG Yuan;YU Hua(School of Physics, Nankai University, Tianjin 300071)

机构地区：[1]南开大学物理科学学院

出　　处：《物理与工程》2019年第6期52-57,共6页Physics and Engineering

基　　金：高等学校教学研究项目(DWJZW201702hb);国家基础科学人才培养基金(J1210027);南开大学教学改革项目支持资助

摘　　要：本文研究了第31届国际青年物理学家锦标赛(IYPT)中径向摆问题。利用弹性理论笔者对弹性杆和小球组成的径向摆体系进行了分析和实验检验。结果发现,通过改变摆的悬挂位置、弹性杆长度等参数可以改变摆球的运动轨迹。实验结果表明:弹性杆与摆球运动的牵连是径向摆摆的运动轨迹会发生转变的原因,而弹性杆的受迫共振是摆径向摆体系存在混沌现象的原因,混沌现象产生的条件是发生在弹性杆杨氏模量或截面积极小的情况。This paper studies the radial pendulum problem in the 31st International Young Physicists'Tournament(IYPT).The complex pendulum system is composed of elastic rods and small balls.Experiments were carried out to change the natural frequency of motion by changing the position of the lanyard and the length of the elastic rod to test the influence of the elastic rod and the ball resonance on the trajectory.The results show that the implicature of the elastic rod and the pendulum ball movement is the reason for the change of the trajectory of the radial pendulum.The forced resonance of the elastic rod is the reason for the existence of chaos in the pendulum system.At the same time,it is predicted that the chaotic phenomenon will occur in the extreme case where the Young's modulus or the cross section of the pole is positive.

关 键 词：IYPT 复摆 参数共振 混沌 

分 类 号：G63[文化科学—教育学]