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| Jeffcott平衡转子系统亚临界和超临界Hopf分叉 | |
| 引用本文： | 焦映厚,陈照波,曲秀全,夏松波,黄文虎.Jeffcott平衡转子系统亚临界和超临界Hopf分叉[J].哈尔滨工业大学学报,2003,35(12):1415-1417,1443. |
| 作者姓名： | 焦映厚 陈照波 曲秀全 夏松波 黄文虎 |
| 作者单位： | 1. 哈尔滨工业大学,机电工程学院,黑龙江,哈尔滨,150001 2. 哈尔滨工业大学能源工程学院,黑龙江,哈尔滨,150001 3. 哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001 |
| 基金项目： | 黑龙江省自然科学基金资助项目(E0220)，国家自然科学基金重大资助项目(19990510)，国家重点基础研究发展规划资助项目(G1998020316) |
| 摘 要： | 应用非线性动力学理论对平衡转子-轴承系统的亚临界和超临界Hopf分叉进行了分析与研究，提出了转子-轴承系统发生亚临界及超临界Hopf分叉的数值分析方法，分析了不同长径比下，转子系统的失稳转速界限曲线及发生超临界与亚临界分叉的区域．揭示了系统发生超临界Hopf分叉时，其周期解的产生是渐变的；发生亚临界Hopf分叉时，其周期解从稳定到失稳是突发性的，并不是一个渐进的过程，且长径比较小的轴承不易发生危害程度较大的亚临界分叉． |
| 关 键 词： | Jeffcott平衡转子系统 非线性动力学 亚临界Hopf分叉 超临界Hopf分叉 周期解 稳定性 |
| 文章编号： | 0367-6234(2003)12-1415-03 |
Analysis of subcritical and supercritical Hopf bifurcation for balanced jeffcott rotor bearing system |
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| JIAO Ying-hou,CHEN Zhao-bo,Qu Xiu-quan,XIA Song-bo,HUANG Wen-hu.Analysis of subcritical and supercritical Hopf bifurcation for balanced jeffcott rotor bearing system[J].Journal of Harbin Institute of Technology,2003,35(12):1415-1417,1443. | |
| Authors: | JIAO Ying-hou CHEN Zhao-bo Qu Xiu-quan XIA Song-bo HUANG Wen-hu |
| Abstract: | The sub-and supercritical Hopf bifurcation of balanced rotor-bearing system was investigated using the nonlinear dynamics theory. A numerical method was suggested for analyzing rotor system' s sub-and supercritical Hopf bifurcation. The instability speed limit versus eccentricity ratio was obtained for different bearing aspect ratios, and the regions corresponding to sub-and supercritical Hopf bifurcation were determined. The simulation results show that there is a gradual transition from stability to instability for supercritical bifurcation and no gradual transition exists for subcritical bifurcation. It can be also seen that smaller bearing aspect ratio is more helpful to prevent the dangerous subcritical Hopf bifurcation from taking place. |
| Keywords: | nonlinear oil film force Hopf bifurcation rotor system |
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