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TECHNICAL PAPERS

Subharmonic and Chaotic Motions of a Hybrid Squeeze-Film Damper-Mounted Rigid Rotor With Active Control

[+] Author and Article Information
Chieh-Li Chen, Her-Terng Yau

Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan

Yunhua Li

Institute of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing

J. Vib. Acoust 124(2), 198-208 (Mar 26, 2002) (11 pages) doi:10.1115/1.1448318 History: Received October 01, 2000; Received August 01, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Figures

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Cross section of a rigid rotor supported by a HSFD with active control
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The pressure distribution of HSFD in axis direction
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The pressure distribution of HSFD in rotational direction (−a≤z≤a)
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Bifurcation diagram of X(nT) (a) and Y(nT) (b) versus rotor speed s (case 1)
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Subharmonic motion at s=2.6 (case 1): (a) rotor trajectory (b) Poincaré map (c) (d) displacement power in X and Y directions (case 1)
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Pressure distribution in the static pressure chamber at s=2.6 (case 1)
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Bifurcation diagram of X(nT) (a) and Y(nT) (b) versus rotor speed s (case 2)
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The local bifurcation diagram of X(nT) (a) and Y(nT) (b) in the range of 2.5<s<2.85
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The trajectory of rotor at s=2.7, 2.8, 2.82, 4.0(9.1(a)–9.4(a)); Poincaré section projected onto the X(nT)-Y(nT) plane (9.1(b)–9.4(b)); displacement power in X and Y directions (9.1(c)–9.4(c) and 9.1(d)–9.4(d))  
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Aperiodic motion of bearing center at s=3.0: (a) rotor trajectory (b) (c) displacements power spectrum (d) (e) time series of rotor trajectory (f) (g) (h) Poincare’ maps
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Pressure distribution in the static pressure chamber at s=3.0 (case 2)
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The maximum Lyapunov exponent plotted as a function of the number of drive cycles at s=3.0 (case 2)
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Variation c(r) with embedding dimension at s=3.0 (case 2) (a) and variation of correlation dimension with embedding dimension (b)
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Bifurcation diagram of X(nT) (a) and Y(nT) (b) versus rotor speed s with kp=75000 (case 2)
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Synchronous motion of rotor trajectory at s=3.0 with kp=75000 (a) rotor trajectory (b) (c) time series of rotor trajectory (d) (e) (f) (g) pressure distributions in the static pressure chambers
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The structure of elect-hydraulic controllable orifice with actuator (chamber 2)

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