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对称六弹性振子的二维非线性振动
引用本文:包兴明,袁玉全,闫安英,戚作涛.对称六弹性振子的二维非线性振动[J].西南师范大学学报(自然科学版),2010,35(2).
作者姓名:包兴明  袁玉全  闫安英  戚作涛
作者单位:1. 四川理工学院,理学院,四川,自贡,643000
2. 西南民族大学,电气信息工程学院,成都,610041
3. 成都信息工程学院,光电技术系,成都,610225
基金项目:四川省教育厅应用基础资助项目 
摘    要:应用拉格朗日方程方法研究了理想对称六弹性振子做二维运动的变化规律,得到其微小振动的控制方程,用数值解法求解了振动方程,得到了振子运动的时程响应图样.结果表明:理想对称六弹性振子的振动为非简谐的周期性振动,它的振动周期在x方向和y方向与振幅成反比,但受振幅影响不大.波形与振幅无关,可看成是一个变形了的余弦波.

关 键 词:非线性振动  对称六弹性振子  微小振动

The Nonlinear Vibration in Two Dimension of Six Flexible Symmetric Simple Harmonic Oscillator
BAO Xing-ming,YUAN Yu-quan,YAN An-ying,QI Zuo-tao.The Nonlinear Vibration in Two Dimension of Six Flexible Symmetric Simple Harmonic Oscillator[J].Journal of Southwest China Normal University(Natural Science),2010,35(2).
Authors:BAO Xing-ming  YUAN Yu-quan  YAN An-ying  QI Zuo-tao
Institution:BAO Xing-ming1,YUAN Yu-quan1,YAN An-ying2,QI Zuo-tao31.Department of Science,Sichuan University of Science and Engineering,Zigong Sichuan 643000,China,2.Electric Information and Engineering College,Southwest University for Nationalities,Chengdu 610041,3.Department of Optoelectronic Technology,Chengdu University of Information Technology,Chengdu 610225
Abstract:Two dimension vibrations of six flexible symmetric simple harmonic oscillator were studied. The nonlinear vibration equations of this model are obtained by using the Lagrange function method, then solved them by using numerical method. Results show that the small vibration of this ideal model is unhar-monic, and the period of vibration in x direction and y direction are inversely proportion to the amplitudes respectively but influenced a little by them, and the deformation of the waves that could be seen as an asimilar cosine wave shape are independent to the amplitude.
Keywords:nonlinear vibration  six flexible symmetric simple harmonic oscillator  the small vibration
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