| 相对转动非线性动力学方程的稳定性及在一类非线性弹性系数下的解 |
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| 引用本文： | 孟宗,刘彬.相对转动非线性动力学方程的稳定性及在一类非线性弹性系数下的解[J].物理学报,2007,56(11):6194-6198. |
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| 作者姓名： | 孟宗 刘彬 |
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| 作者单位： | 燕山大学电气工程学院,秦皇岛,066004 |
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| 摘 要： | 建立一类含非线性弹性力的二端面转轴相对转动非线性动力学方程.对相对转动非线性自治方程进行定性分析，研究方程的稳定性.用参数变换法求得相对转动非线性非自治方程在强迫激励下的高次近似解.
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| 关 键 词： | 相对转动 非线性动力学方程 非线性弹性系数 稳定性 |
| 文章编号： | 1000-3290/2007/56(11)/6194-05 |
| 收稿时间： | 2007-02-19 |
| 修稿时间： | 2007-02-19 |
Stability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients |
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| Meng Zong,Liu Bin.Stability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients[J].Acta Physica Sinica,2007,56(11):6194-6198. |
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| Authors: | Meng Zong Liu Bin |
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| Institution: | Institute of Electrical Engineering,Yanshan University,Qinhuangdao 066004,China |
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| Abstract: | The nonlinear dynamic equation with two end faces in relativistic rotation is established, which contains a kind of nonlinear elastic force. The qualitative analysis of the relativistic rotational nonlinear autonomous equation is performed, and the stability of the equation is studied. The high-order approximate solution of the equation under forcing excitation is obtained by parameter transformation method. |
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| Keywords: | relative rotation nonlinear dynamics equation nonlinear elastic coefficient steadiness |
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