大学物理 ›› 2018, Vol. 37 ›› Issue (8): 47-53.doi: 10.16854 /j.cnki.1000-0712.170680

• 大学生园地 • 上一篇    下一篇

平行摆放的节拍器相互耦合的动力学机制

金山,吕建锋   

  1. 北京师范大学物理系,北京100875
  • 收稿日期:2017-12-04 修回日期:2018-03-07 出版日期:2018-08-20 发布日期:2018-08-20
  • 作者简介:金山(1996—),男,江苏无锡人,北京师范大学物理系2015 级本科生.

Dynamical mechanism of coupling metronomes placed in parallel

JIN Shan,LV Jian-feng   

  1. Department of Physics,Beijing Normal University,Beijing 100875,China
  • Received:2017-12-04 Revised:2018-03-07 Online:2018-08-20 Published:2018-08-20

摘要: 同步行为是自然界普遍存在的现象.若干个机械节拍器于某些特定条件下,分别给各个节拍器的摆以任意的初始相 位,一段时间后各个摆会达到同步的运动状态.本文首先通过分析节拍器的内在工作机制建立了单个节拍器的动力学方程,根 据实验结果给出了动力学方程中的阻力矩和动力矩随时间变化的规律,然后引入惯性力,表示节拍器之间的耦合作用,建立 了节拍器系统的动力学方程,物理意义清晰,能够较好地解释平行摆放在水平木板上具有相同摆动周期的节拍器的同步现象. 通过与实验的对比发现理论可以较好地预测节拍器系统达到同步的时间,并且在不同实验条件下体现出良好的普适性.

关键词: 同步现象, 耦合, 机械节拍器

Abstract: Synchronous behavior is a ubiquitous phenomenon in nature.Under certain conditions,a number of mechanical metronomes,which are given an arbitrary initial phase,will reach the synchronized state of motion after a period of time. In this paper,firstly,we establish the dynamic equation of a single metronome by analyzing its internal working mechanism.According to the experimental results,the laws of the change of the resistance moment and the dynamic moment with time are given.Then the coupling action between the metronome is represented by the inertial force,so the dynamic equation of the metronome system is established with much more clear physical meaning which can better explain the synchronization phenomenon of the metronomes with the same swinging period on the horizontal board.The theory can be used to predict the time of the metronome system to achieve the synchronization,meanwhile,this theory model shows the good universality under different experimental conditions.

Key words: synchronization phenomenon, coupling, mechanical metronome