| 滚球混沌运动演示实验 |
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| 引用本文： | 路峻岭,王延吉,王长江,晏思贤.滚球混沌运动演示实验[J].物理实验,2007,27(12):3-5. |
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| 作者姓名： | 路峻岭 王延吉 王长江 晏思贤 |
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| 作者单位： | 清华大学物理系,北京,100084 |
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| 摘 要： | 以滚球在3个凹形槽上的受力体现作用的非线性,导轨由电机推动作简谐振动,滚球在导轨上作受迫(滚动)振动,可以把导轨作简谐振动的频率或振幅作为调整参量.当受迫振动的滚球振幅小时,滚球只在1个凹形槽中作简谐振动;当振幅渐渐增大时,可呈现周期倍增和渐至混沌状态.通过观察安装在同一振动滑板上的2套导轨上的滚球的运动,则可以演示混沌运动对初值的敏感性.
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| 关 键 词： | 混沌 受迫振动 机械共振 |
| 文章编号： | 1005-4642（2007）12-0003-03 |
| 收稿时间： | 2007-07-26 |
| 修稿时间： | 2007年7月26日 |
Chaos of rolling balls |
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| LU Jun-ling,WANG Yan-ji,WANG Chang-jiang,YAN Si-xian.Chaos of rolling balls[J].Physics Experimentation,2007,27(12):3-5. |
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| Authors: | LU Jun-ling WANG Yan-ji WANG Chang-jiang YAN Si-xian |
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| Abstract: | The nonlinear is incarnated when the ball is rolling respectively on three concaves.The track driven by motor is in simple harmonic vibration,and the frequency and amplitude of simple harmonic vibration of the track can be considered as adjusting parameters.When the amplitude of forced vibration is small,the rolling ball is in simple harmonic vibration in a concave.When the amplitude of forced vibration is increased,the motion states present gradually period increasing and chaos.By observing the motion of rolling ball on two tracks fixed on the same vibration glide board,the initial value sensitivity of chaos can be demonstrated. |
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| Keywords: | chaos forced vibration mechanical resonance |
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