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TECHNICAL PAPERS

Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

[+] Author and Article Information
Yukio Ishida, Tsuyoshi Inoue

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Nagoya, Aichi, 464-8603, Japan

J. Vib. Acoust 126(4), 476-484 (Dec 21, 2004) (9 pages) doi:10.1115/1.1805000 History: Received February 01, 2001; Revised February 01, 2004; Online December 21, 2004
Copyright © 2004 by ASME
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References

Figures

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Analytical model: (a) The Jeffcott rotor; (b) 2-dof inclination model
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Natural frequencies: (a) The Jeffcott rotor; (b) 2-dof inclination model
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Resonance curves of the Jeffcott rotor (the major critical speed) (ip=0.0)
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Time histories and spectra (the major critical speed): (a) Steady-state oscillation (ω=1.0); (b) Almost-periodic motion (ω=1.17)
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Resonance curves of the rotor with discrepancy among critical speeds (the major critical speed): (a) Slight discrepancies; (b) Small discrepancies
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Resonance curves of the Jeffcott rotor (twice the major critical speed)
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Resonance curves of the rotor with discrepancies among critical speeds (at twice the major critical speed): (a) Slight discrepancies; (b) Time histories and spectra; (c) Small discrepancies
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Resonance curves of the Jeffcott rotor (three times the major critical speed): (a) ε(1)=0.1; (b) Time histories and spectra; (c) ε(1)=0.055
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Resonance curves of the rotor with discrepancies among critical speeds (three times the major critical speed)
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Experimental system: (a) Setup; (b) Natural frequencies
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Experimental results (the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 4)
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Time histries and spectra (the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (Setup 4)
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Experimental results (twice the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 2)
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Time histories and Spectra (twice the major critical speed, experimental results): (a) Steady-state oscillation (1491 rpm); (b) Almost-periodic motion (1458 rpm)
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Experimental results (three times the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 3)
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Time histries and spectra (three times the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (setup 3)

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