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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Reducing Lateral Vibration of a Rotor Passing Through Critical Speeds by Phase Modulating

[+] Author and Article Information
S.-M. Wang

Division of Theoretical Mechanics, School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, People’s Republic of China

Q.-S. Lu

Division of Theoretical Mechanics, School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, People’s Republic of China and Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK

E. H. Twizell

Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UKe-mail: E.H.Twizell@brunel.ac.uk

J. Eng. Gas Turbines Power 125(3), 766-771 (Aug 15, 2003) (6 pages) doi:10.1115/1.1581893 History: Received October 01, 2001; Revised October 28, 2002; Online August 15, 2003
Copyright © 2003 by ASME
Topics: Rotors , Vibration , Disks , Motion
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References

Choy,  F. K., and Padovan,  J., 1987, “Nonlinear Transient Analysis of Rotor-Casing Rub Events,” J. Sound Vib., 113, pp. 529–545.
Li,  G. X., and Paidoussis,  M. P., 1994, “Impact Phenomena of Rotor-Casing Dynamical Systems,” Nonlinear Dyn., 5, pp. 53–70.
Yanabe,  S., Kanneko,  S., and Shibata,  N., 1998, “Rotor Vibration due to Collision With Annular Guard During Passage Through Critical Speed,” ASME J. Vibr. Acoust., 120, pp. 549–552.
Fearn,  R. L., and Millsaps,  K., 1967, “Constant Acceleration of an Undamped Simple Vibrator Through Resonance,” J. of Royal Aero. Soc.,Aug , pp. 567–573.
Millsaps,  K. T., and Reed,  G. L., 1998, “Reducing Lateral Vibrations of a Rotor Passing Through Critical Speeds by Acceleration Scheduling,” ASME J. Eng. Gas Turbines Power, 120, pp. 615–620.

Figures

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Mechanical model of an unbalanced rotor
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Geometric angles and the inertia forces
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Vibration characteristics under different constant accelerations, the solid curve is for φ̈=0.01 and the dashed curve is for φ̈=0.001. (λ=0, δ=0.04). (a) Amplitude characteristic, (b) phase characteristic, (c) energy characteristic.
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Amplitude characteristic with acceleration switching, the dashed curve is for φ̈=0.01 and the solid curve is for φ̈=0.001 after acceleration switching
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Phase, energy, and amplitude characteristics with phase modulating (λ=0, δ=0.02). (a) Phase characteristic; (b) energy characteristics; (c) amplitude characteristic.
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Phase, energy, and amplitude characteristics with phase modulating (λ=0 δ=0.02). (a) Phase characteristic; (b) energy characteristics; (c) amplitude characteristic.
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Phase and energy characteristics (λ=0, δ=0.02). (a) Phase characteristics: aφ̇=0.01;bφ̇=0.001. (b) Energy characteristics aφ̇=0.01;bφ̇=0.001.
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Phase and energy as well as amplitude characteristics with phase modulating. (δ=0.02, λ=0.002, Ip=2Id=250000). (a) Phase characteristic; (b) energy characteristics; (c) amplitude characteristics.

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