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| 对称八弹性振子的二维非线性振动 | |
| 引用本文： | 包兴明,周志坚,袁玉全,戚作涛,王时建. 对称八弹性振子的二维非线性振动[J]. 安徽大学学报(自然科学版), 2010, 34(2) |
| 作者姓名： | 包兴明 周志坚 袁玉全 戚作涛 王时建 |
| 作者单位： | 1. 四川理工学院,理学院,四川,自贡,643000 2. 成都信息工程学院,光电技术系,四川,成都,610225 3. 西华大学应用物理研究所,四川,成都,610039 |
| 基金项目： | 四川省教育厅应用基础基金资助项目，四川理工学院理学院专项支持基金 |
| 摘 要： | 应用拉格朗日方程方法研究理想对称八弹性振子作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:理想对称八弹性振子的振动为非线性振动.波形可看成是一个变形了的余弦波. |
| 关 键 词： | 非线性振动 对称八弹性振子 微小振动 |
The nonlinear vibration in two dimension of eight flexible symmetric simple harmonic oscillator |
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| BAO Xing-ming,ZHOU Zhi-jian,YUAN Yu-quan,QI Zuo-tao,WANG Shi-jian. The nonlinear vibration in two dimension of eight flexible symmetric simple harmonic oscillator[J]. Journal of Anhui University(Natural Sciences), 2010, 34(2) | |
| Authors: | BAO Xing-ming ZHOU Zhi-jian YUAN Yu-quan QI Zuo-tao WANG Shi-jian |
| Abstract: | In this paper, the authors studied two dimension vibrations of eight flexible symmetric simple harmonic oscillator.The nonlinear vibration equations of this model were obtained by using the Lagrange function method , then solved by using numerical method. The results showed that the small vibration of this ideal model was nonlinear, and the deformation of the waves could be seen as an asimilar cosine waveshape. |
| Keywords: | nonlinear vibration eight flexible symmetric simple harmonic oscillator the small vibration |
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