| 非线性转子-轴承系统的分叉行为研究 |
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| 引用本文： | 赵永辉,李海涛,罗文波,屠良尧,邹经湘. 非线性转子-轴承系统的分叉行为研究[J]. 哈尔滨工业大学学报, 2000, 32(1): 19-22 |
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| 作者姓名： | 赵永辉 李海涛 罗文波 屠良尧 邹经湘 |
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| 作者单位： | 青岛大学,山东青岛,266000;哈尔滨工业大学分析测试中心,黑龙江,哈尔滨,150001 |
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| 基金项目： | 中国科学院资助项目,机械工业技术发展基金,,951390-049,, |
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| 摘 要： | 对刚性Jeffcott转子进行了分叉行为研究.无量纲轴承油膜力的表达式中考虑了滑油粘性力的作用.利用多变量Floquet定理分析了转子的稳定性.给出了分叉图、Poincare截面田和Floquet乘子变化图.结果表明,转子运动呈现倍周期分叉、切分叉和二次Hopf分叉等复杂的非线性动力学现象.
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| 关 键 词： | 转子动力学 非线性转子-轴承系统 分叉与稳定性 |
| 文章编号： | 0367-6234(2000)01-00l9-04 |
| 修稿时间： | 1998-09-11 |
Bifurcation behaviors of nonlinear rotor-bearing system |
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| ZHAO Yong-hui,I Hai-tao,LUO Wen-bo,TU Liang-yao,ZOU Jing-xiang. Bifurcation behaviors of nonlinear rotor-bearing system[J]. Journal of Harbin Institute of Technology, 2000, 32(1): 19-22 |
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| Authors: | ZHAO Yong-hui I Hai-tao LUO Wen-bo TU Liang-yao ZOU Jing-xiang |
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| Affiliation: | ZHAO Yong-hui(Qingdao University, Qingdao 266000, China)LI Hai-tao,LUO Wen-bo,TU Liang-yao,ZOU Jing-xiang(Analysis and Measurement Center, Harbin Institute of Technology, Harbin 150001, China) |
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| Abstract: | The bifurcation behaviors of rigid Jeffcott rotor are studied. The influence of viscous force is considered while establishing nondimensianal oil film force. The stability of the rotor is analyzed using multi-variable Floquet theory. The diagrams of bifurcation, Poincare cross-section and Floquet multipliers are obtained. The results show that the motion of the rotor undergoes complicated nonlinear dynamics phenomena, such as period doubling bifurcation, tangent bifurcation and secondary Hopf bifurcation. |
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| Keywords: | rotor dynamics nonlinear rotor-beating system bifurcation and stability |
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