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Research Papers

Vibration Control and Unbalance Estimation of a Nonlinear Rotor System Using Disturbance Observer

[+] Author and Article Information
Tsuyoshi Inoue

Department of Mechanical Science and Engineering, School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japaninoue@nuem.nagoya-u.ac.jp

Jun Liu

Department of Mechanical Science and Engineering, School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japanliu@nuem.nagoya-u.ac.jp

Yukio Ishida

Department of Mechanical Science and Engineering, School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japanishida@nuem.nagoya-u.ac.jp

Yusuke Yoshimura

 Honda Motor Co., Ltd., 2-1-1, Minami Aoyama, Minato-ku, Tokyo 107-8556, Japan

J. Vib. Acoust 131(3), 031010 (Apr 23, 2009) (8 pages) doi:10.1115/1.3085886 History: Received October 19, 2005; Revised May 29, 2007; Published April 23, 2009

In rotating machinery, rotor unbalance causes many resonances at critical speeds corresponding to different modes. In this paper, a vibration control method for rotor systems utilizing disturbance observer is proposed. The nonlinear terms, unbalance, parameter variations, and uncertain terms of a rotor system are lumped into a disturbance term, and this term is canceled by using disturbance observer. As a result, the vibrations are suppressed to small amplitudes all over the rotational speed range. Simultaneously, unbalance of the first mode is estimated from the information of control force of disturbance observer. Moreover, the effects of parameter errors of the control system are also investigated. The validity of the proposed method is verified through numerical simulations and experiments.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The Jeffcott rotor model

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Figure 2

Electromagnetic actuator

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Figure 3

Block diagram in the x-direction

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Figure 4

Case with no parameter error: (a) resonance curve and (b) time history and spectrum of fobs(ω=800 rpm)

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Figure 5

Case with some parameter errors: (a) resonance curve and (b) spectrum of fobs(ω=800 rpm)

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Figure 6

Case with discrepancy in magnetic characteristics: (a) time history of displacement x, (b) time history of fobs, and (c) spectrum of fobs

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Figure 7

Effect of sensor resolution on accuracy of unbalance estimation

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Figure 8

Effect of sensor resolution on time history and spectrum of fobs(ω=810 rpm): (a) infinitesimal sensor resolution, (b) sensor resolution of 1 μm, and (c) sensor resolution of 10 μm

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Figure 9

Effect of sensor resolution on accuracy of unbalance estimation

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Figure 10

Experimental system: (a) experimental setup and (b) structure of electromagnetic actuator

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Figure 11

Resonance curve (experiment): (a) linear rotor system and (b) nonlinear rotor system

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Figure 12

Unbalance estimation of nonlinear system (experiment): (a) spectrum of fobs and (b) estimation of unbalance phase angle

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Figure 13

Verification of unbalance estimation by disturbance observer (experiment)

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