Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with nonlinear suspension
Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with nonlinear suspension
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DOI：
10.1016/j.mechmachtheory.2006.03.007
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发表时间：
2007-03
影响因子：
5.2
通讯作者：
Cai-Wan Chang-Jian;Cha’o-Kuang Chen
中科院分区：
文献类型：
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作者：
Cai-Wan Chang-Jian;Cha’o-Kuang Chen
本文研究了转子轴承系统的动态分析，并以油膜轴颈轴承为支持。为了更精确地分析转子轴承系统，需要观察非线性支撑模型以及转子和定子之间的摩擦影响。结合动力轨迹分析方法，采用功率谱、庞加莱图、分岔图和李雅普诺夫指数等分析方法，分析转子中心和轴承中心在不同工况下水平和垂直方向的行为。本研究演示了周期、准周期、次谐波和混沌运动。在s=2.27时出现一个特殊现象，轴承中心和转子中心在水平方向上的运动仍为混沌运动，但轴承中心和转子中心在垂直方向上的运动为3T周期运动。结论是转子中心和轴承中心的轨迹存在不良振动。通过对这些运行条件的动态行为的分析，控制具有摩擦冲击条件的转子轴承系统的理论和实践思想可以更加精确。
The dynamic analysis of the rotor-bearing system is studied in this paper and is supported by oil film journal bearings. An observation of a nonlinearly supported model and the rub-impact between rotor and stator is needed for more precise analysis of rotor-bearing systems. Inclusive of the analysis methods of the dynamic trajectory, the power spectra, the Poincaré maps, the bifurcation diagrams and the Lyapunov exponent are used to analyze the behavior of the rotor centre and bearing centre in the horizontal and vertical directions under different operating conditions. The periodic, quasi-periodic, sub-harmonic and chaotic motion are demonstrated in this study. A special phenomenon is occurring at s=2.27, the motions of the bearing centre and the rotor centre in the horizontal direction are still at chaotic motions but the motions of the bearing centre and the rotor centre in the vertical direction are at 3T-periodic motions. It is concluded that the trajectory of rotor centre and bearing centre have undesirable vibrations. With the analysis of the dynamic behavior of these operating conditions, the theoretical and practical idea for controlling rotor-bearing systems with rub-impact condition can be more precise.