Nonlinear vibration of a magnetic bearing-rotor system based on PD control

被引：0
|
作者：
Zhang G. [1 ]
Zhang P. [1 ]
Wang Z. [1 ]
Xi G. [1 ]
Zou H. [1 ]
机构：
[1] School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 10期
关键词：
Magnetic bearing; Multi-scale method; Nonlinear vibration; Soft and hard spring characteristics;
D O I：
10.13465/j.cnki.jvs.2022.10.013
中图分类号：
学科分类号：
摘要：
For an axial magnetic bearing-rotor system with proportional-derivative (PD) control, the effects of proportional gain, differential gain and disturbance force on the soft-spring or hard-spring characteristics were studied using the multi-scale method. The conditions for judging the soft and hard spring characteristics were also derived according to the skeleton line equation. The nonlinear vibration and bifurcation were investigated using the 4th order Runge-Kutta method. The results show that the disturbance force has no effect on the soft and hard spring characteristics and the system switches between the soft-spring and hard-spring characteristics as the dimensionless proportional gain Kp increases. The system behaves soft-spring characteristics when Kp is greater than 2. When the differential gain is large, the resonance curve will split, and the steady solution will no longer have multiple values. A second Hopf bifurcation occurs, and the rotor vibration changes from period-1 to quasi-period states as the disturbance frequency increases. In the quasi-periodic state case, the form of vibration is beat vibration.There are components of frequency f0±fb near the fundamental frequency f0. © 2022, Editorial Office of Journal of Vibration and Shock. All right reserved.
引用
收藏
页码：99 / 105
页数：6
相关论文
共 18 条
  • [1] SCHWEITZER G, MASLEN E H., Magnetic bearing: theory, design, and application to rotating machinery, (2009)
  • [2] INOUE T, ISHIDA Y., Nonlinear forced oscillation in a magnetically levitated system: the effect of the time delay of the electromagnetic force, Nonlinear Dynamics, 52, 1, pp. 103-113, (2008)
  • [3] LIU Xueping, ZHU Kan, Nonlinear vibration analysis of magnetic suspension rotor considering eddy current effect, Bearing, 3, pp. 52-57, (2019)
  • [4] EISSA M H, HEGAZY U H, AMER Y A., Dynamic behavior of an AMB supported rotor subject to harmonic excitation, Applied Mathematical Modelling, 32, 7, pp. 1370-1380, (2008)
  • [5] KANG K, PALAZZOLO A., Homopolar magnetic bearing saturation effects on rotating machinery vibration, IEEE Transactions on Magnetics, 48, 6, pp. 1984-1994, (2012)
  • [6] XU X B, FANG J C, WEI T., Stability analysis and imbalance compensation for active magnetic bearing with gyroscopic effects, 8th IEEE International Symposium on Instrumentation and Control Technology(ISICT)Proceedings, (2012)
  • [7] JI J C, HANSEN C H., Nonlinear oscillations of a rotor in active magnetic bearings, Journal of Sound and Vibration, 240, 4, pp. 599-612, (2001)
  • [8] INAYAT-HUSSAIN J I., Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings, Chaos, Solitons & Fractals, 41, 5, pp. 2664-2671, (2009)
  • [9] XU Lu, RAO Xiaobo, CHU Yandong, Nonlinear dynamics of the magnetic rotor bearing system with rub-impact force, Journal of Mechanical Strength, 42, 1, pp. 7-14, (2020)
  • [10] YANG Y, ZHANG L Y, ZHANG Y X., Dynamic characteristics analysis of cracked magnetic rotor-bearing system, Journal of Physics: Conference Series, 1637, 1, (2020)
12