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TECHNICAL PAPERS

Nonlinear Dynamic Analysis of a Flexible Rotor Supported by Externally Pressurized Porous Gas Journal Bearings

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

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

Cheng-Ying Lo

Department of Aeronautical Engineering, National Hu-Wei Institute of Technology, Huwei, Yulin, Taiwan, ROC

J. Tribol 124(3), 553-561 (May 31, 2002) (9 pages) doi:10.1115/1.1467637 History: Received July 19, 2001; Revised January 22, 2002; Online May 31, 2002
Copyright © 2002 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.
Sneck,  H. J., and Yen,  K. T., 1964, “The Externally Pressurized, Porous Wall, Gas—Lubricated Journal Bearing, I,” ASLE Trans., 7, pp. 288–298.
Sneck,  H. J., and Elwell,  R. C., 1965, “The Externally Pressurized, Porous Wall, Gas—Lubricated Journal Bearing, II,” ASLE Trans., 8, pp. 339–345.
Majumdar,  B. C., 1975, “Analysis of Externally Pressurized Porous Wall Gas Journal Bearings-I,” Wear, 33, pp. 25–35.
Majumdar,  B. C., 1976, “Dynamic Characteristics of Externally Pressurized Rectangular Porous Gas Thrust Bearings,” ASME J. Lubr. Technol., 98, pp. 181–186.
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.
Ehrich, F. F., 1966, “Subharmonic Vibration of Rotors in Bearing Clearance,” ASME Paper No. 66-MD-1.
Bently, D. E., 1974, “Forced Subrotative Speed Dynamic Action of Rotating Machinery,” ASME Paper No. 74-Pet-16.
Botman,  M., 1976, “Experiments on Oil Film Dampers for Turbomachinery,” ASME J. Eng. Power, 98, pp. 393–400.
Nikolajsen,  J. I., and Holmes,  R., 1979, “Investigation of Squeeze-Film Isolators for the Vibration Control of a Flexible Rotor,” ASME Journal of Mechanical Science, 21(4), pp. 247–252.
Muszynska, A., 1984, “Partial Lateral Rotor to Stator Rubs,” ImechE Paper No. C281/84.
Li,  X. H., and Taylor,  D. L., 1987, “Nonsynchronous Motion of Squeeze-Film Damper Systems,” ASME J. Tribol., 109, pp. 169–176.
Ehrich,  F. F., 1988, “High Order Subharmonic Response of High Speed Rotor in Bearing Clearance,” ASME J. Vib., Acoust., Stress, Reliab. Des 110, pp. 9–16.
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., 1997a, “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., 1997b, “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.
Wang,  C. C., and Chen,  C. K., 2001, “Bifurcation Analysis of Self-Acting Gas Journal Bearings,” ASME J. Tribol., 123(4), pp. 755–768.

Figures

Grahic Jump Location
(a) Model of a flexible rotor supported by two externally pressurized porous gas journal bearings; and (b) cross section of a externally pressurized porous gas journal bearing
Grahic Jump Location
The trajectory of rotor center at mr=2.0, 6.0, 9.06, 9.5, 10.0, 11.0 kg (Figs. 2.1(a)–2.6(a)) and the trajectory of journal center (Figs. 2.1(b)–2.6(b)), and (Figs. 2.1(c)–2.6(c)) and (Figs. 2.1(d)–2.6(d)) the power spectrum of rotor displacement in horizontal and vertical direction
Grahic Jump Location
Bifurcation diagrams: (a) X2(nT) and (b) Y2(nT) versus rotor mass mr
Grahic Jump Location
The local bifurcation diagram of (a) X2(nT) and (b) Y2(nT) versus rotor mass mr(8.0<mr<10.0 kg)
Grahic Jump Location
The Poincaré maps of rotor center trajectory at (a) mr=2.0, (b) 6.0, (c) 9.5, and (d) 11.0 kg
Grahic Jump Location
The trajectory of rotor center at Λ=1.2, 2.0, 2.44, 2.5, 2.6, 2.7 (Figs. 6.1(a)–6.6(a)) and the trajectory of journal center (Figs. 6.1(a)–6.6(b)), and (Figs. 6.1(c)–6.6(c)) and (Figs. 6.1(d)–6.6(d)) the power spectrum of rotor displacement in horizontal and vertical direction
Grahic Jump Location
Bifurcation diagrams: (a) X2(nT) and (b) Y2(nT) versus bearing number Λ
Grahic Jump Location
The local bifurcation diagram of (a) X2(nT) and (b) Y2(nT) versus bearing number Λ (2.4<Λ<2.7)
Grahic Jump Location
The Poincaré maps of rotor center trajectory at (a) Λ=1.2, (b) 2.0, (c) 2.44, and (d) 2.6

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