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TECHNICAL PAPERS

Bifurcation Analysis of Self-Acting Gas Journal Bearings

[+] Author and Article Information
Cheng-Chi Wang, Cha’o-Kùang Chen

Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, ROC

J. Tribol 123(4), 755-767 (Feb 05, 2001) (13 pages) doi:10.1115/1.1388302 History: Received August 29, 2000; Revised February 05, 2001
Copyright © 2001 by ASME
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References

Gross,  W. A., and Zachmanaglou,  E. C., 1961, “Perturbation Solutions for Gas-Lubricating Films,” ASME J. Basic Eng., 83, pp. 139–144.
Ausman,  J. S., 1963, “Linearized ph Stability Theory for Translatory Half-Speed Whirl of Long Self-Acting Gas-Lubricated Journal Bearings,” ASME J. Basic Eng., 83, pp. 611–619.
Castelli,  V., and Elrod,  H. G., 1961, “Solution of the Stability Problem for 360 Degree Self-Acting, Gas-Lubricated Bearing,” ASME J. Basic Eng., 87, pp. 199–212.
Malik,  M., and Bert,  C. W., 1994, “Differential Quadrature Solution for Steady State Incompressible and Compressible Lubrication Problems,” ASME J. Tribol., 116, pp. 296–302.
Holmes,  A. G., Ettles,  C. M., and Mayes,  I. W., 1978, “Aperiodic Behavior of a Rigid Shaft in Short Journal Bearings,” Int. J. Numer. Methods Eng., 12, pp. 695–702.
Sykes, J. E. H., and Holmes, R., 1990, “The Effect of Bearing Misalignment on the Non-Linear Vibration of Aero-Engine Rotor-Damper Assemblies,” Proceeding Institution of Mechanical Engineers, 204 , pp. 83–99.
Kim,  Y. B., and Noah,  S. T., 1990, “Bifurcation Analysis of a Modified Jeffcot Rotor with Bearing Clearances,” Nonlinear Dyn., 1, pp. 221–241.
Zhao,  J. Y., Linnett,  I. W., and Mclean,  L. J., 1994, “Subharmonic and Quasi-Periodic Motion of an Eccentric Squeeze Film Damper-Mounted Rigid Rotor,” ASME J. Vibr. Acoust., 116, pp. 357–363.
Brown,  R. D., Addison,  P., and Chan,  A. H. C., 1994, “Chaos In The Unbalance Response of Journal Bearings,” Nonlinear Dyn., 5, pp. 421–432.
Adiletta,  G., Guido,  A. R., and Rossi,  C., 1996, “Chaotic Motions of a Rigid Rotor In Short Journal Bearings,” Nonlinear Dyn., 10, pp. 251–269.
Adiletta,  G., Guido,  A. R., and Rossi,  C., 1997, “Nonlinear Dynamics of a Rigid Unbalanced Rotor In Short Bearings. Part I: Theoretical Analysis,” Nonlinear Dyn., 14, pp. 57–87.
Adiletta,  G., Guido,  A. R., and Rossi,  C., 1997, “Nonlinear Dynamics of a Rigid Unbalanced Rotor In Short Bearings. Part II: Experimental Analysis,” Nonlinear Dyn., 14, pp. 157–189.
Sundararajan,  P., and Noah,  S. T., 1997, “Dynamics of Forced Nonlinear Systems Using Shooting/Arc-length Continuation Method—Application to Rotor Systems,” ASME J. Vibr. Acoust., 119, pp. 9–20.

Figures

Grahic Jump Location
Model of a rigid rotor supported by gas film journal bearings
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The trajectory of rotor center at mr=7.0,8.3,9.2,10.0,15.0,20.0 kg (Figs. 2.1a2.6a) and phase portraits (Figs. 2.1b2.6b), and (Figs. 2.1c2.6c) and (Figs. 2.1d2.6d) power spectrum of rotor displacement in horizontal and vertical direction (at ω=2100 rad/s)
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Bifurcation diagrams (a) X(nT) and (b) Y(nT) versus rotor mass mr at ω=2100 rad/s
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The local bifurcation diagram of (a) X(nT) and (b) Y(nT) versus rotor mass mr at ω=2100 rad/s
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The Poincaré maps of rotor center trajectory at (a) mr=7.0, (b) 8.3, (c) 9.2, and (d) 20.0 kg
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The trajectory of rotor center at ω=950,1040,1081,1200,1300,1400 rad/s (Figs. 6.1a6.6a) and phase portraits (Figs. 6.1b6.6b), and (Figs. 6.1c6.6c) and (Figs. 6.1d6.6d) power spectrum of rotor displacement in horizontal and vertical direction (at mr=29.5 kg)
Grahic Jump Location
Bifurcation diagrams (a) X(nT) and (b) Y(nT) versus rotor speed ω at mr=29.5 kg
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The local bifurcation diagram of (a) X(nT) and (b) Y(nT) versus rotor speed ω at mr=29.5 kg
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The Poincaré maps of rotor center trajectory at (a) ω=950, (b) 1040, (c) 1200, and (d) 1400 rad/s

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