| 音叉弦线振动系统中的非线性动力学分析 |
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| 引用本文： | 吴本科,高峰,肖苏.音叉弦线振动系统中的非线性动力学分析[J].合肥工业大学学报(自然科学版),2006,29(3):365-368. |
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| 作者姓名： | 吴本科 高峰 肖苏 |
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| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009 |
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| 摘 要： | 文章建立了音叉带动弦线振动系统的非线性动力学理论模型,并对其进行了理论分析和模拟仿真研究,从理论上解释了弦线的长度和张力对系统振动的影响。理论分析和模拟结果都表明,当连接点接近驻波波节时,系统运动状态对初值的依赖性十分敏感,振动系统处于混沌运动状态;而当连接点接近驻波波腹时,系统处于稳定振动周期运动状态。计算机仿真结果与物理实验结果吻合得相当好。
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| 关 键 词： | 音叉 弦线 非线性振动系统 混沌 模拟 |
| 文章编号： | 1003-5060(2006)03-0365-04 |
| 修稿时间： | 2005年4月11日 |
Nonlinear dynamical analysis of the vibrancy system of the tuning fork and the bowstring |
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| WU Ben-ke,GAO Feng,XIAO Su.Nonlinear dynamical analysis of the vibrancy system of the tuning fork and the bowstring[J].Journal of Hefei University of Technology(Natural Science),2006,29(3):365-368. |
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| Authors: | WU Ben-ke GAO Feng XIAO Su |
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| Abstract: | A theoretic model of nonlinear dynamics of the vibrancy system of the tuning fork and the bowstring is established,and the vibrancy system is studied by numerical simulation.The influence of the bowstring length on the vibrancy system is explained.From the theoretic analysis and simulation results it is found that the vibrancy system makes chaotic movement while the joint nears the node of the standing wave,and that it makes cyclic movement while the joint nears the antinode of the standing wave.The computer simulation results accord with the physical experiment results. |
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| Keywords: | tuning fork bowstring nonlinear vibrancy system chaos simulation |
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