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对称三弹性振子的二维非线性振动
引用本文:包兴明,向必纯,袁玉全,闫安英.对称三弹性振子的二维非线性振动[J].河南师范大学学报(自然科学版),2009,37(2).
作者姓名:包兴明  向必纯  袁玉全  闫安英
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
摘    要:应用拉格朗日方程方法研究了理想对称三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:理想对称三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  对称三弹性振子  微小振动

The Nonlinear Vibration in Two Dimensions of Three Flexible Symmetric Simple Harmonic Oscillator
BAO Xing-ming,XIANG Bi-chun,YUAN Yu-quan,YAN An-ying.The Nonlinear Vibration in Two Dimensions of Three Flexible Symmetric Simple Harmonic Oscillator[J].Journal of Henan Normal University(Natural Science),2009,37(2).
Authors:BAO Xing-ming  XIANG Bi-chun  YUAN Yu-quan  YAN An-ying
Institution:1.Department of Science;Sichuan University of Science & Engineering;Zigong 643000;China;2.Electric Information and Engineering College;Southwest University for Nationalities;Chengdu 610041;China
Abstract:The study deals with two dimension vibrations of three flexible symmetric simple harmonic oscillator.The nonlinear vibration equations of this model are obtained by using the Lagrange function method in order to solve them by using numerical method.The results show that the small vibration of this ideal model is anharmonic,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 co...
Keywords:nonlinear vibration  three flexible symmetric simple harmonic oscillator  the small vibration  
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