| 相对转动非线性动力系统的稳定性与强迫激励下的近似解 |
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| 引用本文： | 时培明,刘彬.相对转动非线性动力系统的稳定性与强迫激励下的近似解[J].物理学报,2007,56(7):3678-3682. |
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| 作者姓名： | 时培明 刘彬 |
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| 作者单位： | 燕山大学信息科学与工程学院，秦皇岛 066004 |
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| 基金项目： | 国家十五重大科技攻关项目(批准号：ZZ02-13B-02-03-1)资助的课题. |
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| 摘 要： | 研究相对转动非线性动力系统的运动稳定性.建立具有一般广义阻尼力和外扰激励的一类两质量相对转动非线性动力系统的动力学方程.研究相对转动非线性动力自治系统的稳定性，证明系统在一定条件下可发生闭轨分岔.应用多尺度法得到强迫激励下非自治系统的近似解.
关键词：
相对转动
非线性动力系统
运动稳定性
近似解
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| 关 键 词： | 相对转动 非线性动力系统 运动稳定性 近似解 |
| 文章编号： | 1000-3290/2007/56(07)/3678-05 |
| 收稿时间： | 2006-10-11 |
| 修稿时间： | 2006-10-11 |
Stability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation |
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| Shi Pei-Ming,Liu Bin.Stability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation[J].Acta Physica Sinica,2007,56(7):3678-3682. |
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| Authors: | Shi Pei-Ming Liu Bin |
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| Institution: | College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China |
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| Abstract: | The stability of nonlinear dynamical system of relative rotation is studied. Firstly, the dynamics equation of relative rotation autonomous nonlinear dynamical system with commonly damped force and forced excitation is deduced. Secondly, the stability of relative rotation nonlinear dynamical system is studied. For the nonlinear dynamical system, it is proved that the closed orbit bifurcation can occur under some conditions. Finally, The approximate solution of the equation under forced excitation is obtained by the method of multiple scales. |
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| Keywords: | relatively rotation nonlinear dynamical system stability of motion approximate solution |
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