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TECHNICAL PAPERS

Nonlinear Active Cancellation of the Parametric Resonance in a Magnetically Levitated Body

[+] Author and Article Information
Hiroshi Yabuno

Institute of Engineering Mechanics and Systems, University of Tsukuba, Tsukuba-City 305-8573, Japane-mail: yabuno@esys.tsukuba.ac.jp

Ryo Kanda

Doctoral Program in Systems and Information Engineering, University of Tsukuba, Tsukuba-City 305-8573, Japan

Walter Lacarbonara

Dipartimento di Ingegneria Strutturale e Geotecnica, University of Rome La Sapienza, Rome 00184, Italy

Nobuharu Aoshima

Institute of Engineering Mechanics and Systems, University of Tsukuba, Tsukuba-City 305-8573, Japan

J. Dyn. Sys., Meas., Control 126(3), 433-442 (Dec 03, 2004) (10 pages) doi:10.1115/1.1789530 History: Received October 23, 2003; Online December 03, 2004
Copyright © 2004 by ASME
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References

Figures

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Model of the magnetically levitated body with the active vibration absorber.
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Variation of the effective absorber coefficient with the nondimensional absorber frequency ωθ for various mass ratios.
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Variation of the effective range of control gains with the excitation amplitude for three absorber configurations.
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Theoretically obtained frequency-response curves of (a) uncontrolled and (b) controlled system for two excitation amplitudes (T solid (dashed) line denotes stable (unstable) steady state response).
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Block diagram of the phase-lock loop circuit.
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Experimentally obtained frequency-response curves of (a) uncontrolled and (b) controlled system for two excitation amplitudes.
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Experimentally obtained time histories: (a) uncontrolled and (b) controlled when zb1=0.95 mm,Ω/2π=8.0 Hz, and bd=0.87 Nm.
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Experimentally obtained FFT’s of the time histories of (a) uncontrolled and (b) controlled system when zb1=0.95 mm,Ω/2π=8.0 Hz, and bd=0.87 Nm.
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Expansion of the experimental time histories of the angle of the pendulum and the current in the motor shown in Fig. 8(b).
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Experimentally obtained time history of the controlled system when zb1=0.95 mm,Ω/2π=8.0 Hz, and bd=0.63 Nm.
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Experimentally obtained time histories when the excitation amplitude is changed from 1 mm to 1.3 mm from t=29 s to t=30 s,Ω/2π=8.0 Hz, and bd=0.54 Nm.
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Experimentally obtained time histories when the excitation frequency is changed from 8.0 Hz to 8.1 Hz, zb1 is 1.3 mm, Ω/2π is changed from 8.0 Hz to 8.1 Hz, and bd=0.54 Nm.
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-1Experimentally obtained time histories of the parametrically excited system with a passive autoparametric vibration absorber. (The dimension of the main system is the same as that mentioned in section 4.1. The frequency of the pendulum is tuned as near a half of the natural frequency 3.86 Hz of the main system, i.e., as 1.80 Hz. Excitation amplitude and frequency are 1.2 mm and 7.8 Hz, respectively.)

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