Targeting Suppression of Multi-frequency Rotor Vibration Based on Adaptive Immersion and Invariance Theory

doi:10.3901/JME.2023.18.111

Abstract

Abstract: Rotor is excited by periodic disturbances in the rotating machine during operation. The frequencies of vibration of rotor are mainly related to the speed of the rotor. The excitation frequencies present the characteristics of integral multiple or integral fraction of rotate speed. Aiming at the multi-frequency excitations in the rotating machinery, the multiple frequency components of the rotor vibration are set as the suppression target in this work. A multi-frequency rotor vibration targeting suppression approach is proposed based on the adaptive immersion and invariance theory using the active magnetic actuator. A Cartesian transformation coordinate method is used for the disturbing force vector decomposition, and the higher-order nonlinear system is immersed into a lower-order target system. The designed control law makes the image of the target system become an invariant and attractive manifold. Notch filters are designed from the view of the frequency domain to extract the frequency components of vibration signal, this filter can self-adjust its notch frequency based on the real-time rotate speed to satisfy the need for multi-speed control and avoid the effect of speed fluctuation. The model of the rotor-bearing-active magnetic actuator finite element model and real-time control test rig are established respectively. The results simulations and experiments show that the proposed method can suppress the multi-frequency rotor vibration effectively, and the algorithm has better robustness.

Key words: multi-frequency rotor vibration, immersion and invariance theory, active suppression, active magnetic actuator

CLC Number:

TH113

BAO Yifan, YAO Jianfei, GAO Jinji. Targeting Suppression of Multi-frequency Rotor Vibration Based on Adaptive Immersion and Invariance Theory[J]. Journal of Mechanical Engineering, 2023, 59(18): 111-120.

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