| 时滞反馈非线性扭振系统的稳定性与Hopf分岔研究 |
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| 引用本文： | 时培明,刘彬,韩东颖,朱占龙,侯东晓.时滞反馈非线性扭振系统的稳定性与Hopf分岔研究[J].燕山大学学报,2011,35(2):162-166,172. |
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| 作者姓名： | 时培明 刘彬 韩东颖 朱占龙 侯东晓 |
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| 作者单位： | 1. 燕山大学电气工程学院,河北秦皇岛,066004
2. 燕山大学车辆与能源学院,河北秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金资助项目，河北省自然科学基金资助项目，秦皇岛市科学技术研究与发展计划项目 |
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| 摘 要： | 研究了具有Duffing-Vanderpol组合振子和时滞特性两惯量非线性扭振系统的稳定性和Hopf分岔问题。建立了两惯量非线性扭振系统的动力学方程,通过设计线性位移和速度时滞反馈控制器构造了扭振受控系统。采用多尺度法推导出极限环幅值与时滞参数之间的关系。在对系统零解稳定性分析的基础上,得出Hopf分岔产生的条件。通过数值模拟的方法研究了扭振系统Hopf分岔和极限环幅值控制问题。仿真研究表明,所设计的时滞反馈控制器既能控制极限环的幅值,也能控制Hopf分岔的产生。
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| 关 键 词： | 扭振 Hopf分岔 极限环 时滞反馈控制 |
Study on stability and Hopf bifurcation of a nonlinear torsional system with time-delay feedback |
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| SHI Pei-ming,LIU Bin,HAN Dong-ying,ZHU Zhan-long,HOU Dong-xiao.Study on stability and Hopf bifurcation of a nonlinear torsional system with time-delay feedback[J].Journal of Yanshan University,2011,35(2):162-166,172. |
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| Authors: | SHI Pei-ming LIU Bin HAN Dong-ying ZHU Zhan-long HOU Dong-xiao |
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| Institution: | SHI Pei-ming1,LIU Bin1,HAN Dong-ying2,ZHU Zhan-long1,HOU Dong-xiao1(1.College of Electrical Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China,2.College of Vehicles and Energy,China) |
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| Abstract: | The stability and Hopf bifurcation of two inertia nonlinear torsional vibration with duffing-van der pol oscillators and time-delay characteristics are studied.The equation of two inertia nonlinear torsional vibration systemis established.The controlled torsional vibration system is constituted by devising the time-delay feedback controller of linear displacement and velocity.The relation of limit amplitude and time-delay parameters is deduced by themethod ofmultiple scales.Based on the analysis of the syst... |
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| Keywords: | torsional vibration Hopf bifurcation limit cycle time-delay feedback control |
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