Bifurcation analysis of a flexible rotor supported by two fluid-film journal bearings

Journal of Tribology

Volumn 128, Issue 3, 2006, Pages 594-603

  Wang, J K ^a   Khonsari, M M ^a  

^a Louisiana State University   (United States)

Author keywords

Bifurcation map; Instability threshold speed; Rotor stiffness; Subcritical bifurcation; Supercritical bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DAMPING; JOURNAL BEARINGS; MATHEMATICAL MODELS; SPEED; STIFFNESS;

BIFURCATION MAP; INSTABILITY THRESHOLD SPEED; ROTOR STIFFNESS; SUBCRITICAL BIFURCATION; SUPERCRITICAL BIFURCATION;

ROTORS;

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DAMPING; JOURNAL BEARINGS; MATHEMATICAL MODELS; ROTORS; SPEED; STIFFNESS;

EID: 33748314684     PISSN: 07424787     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2197842     Document Type: Article

References (20)

1. Noah, S. T., 1995, "Significance of Considering Nonlinear Effects in Predicting the Dynamic Behavior of Rotating Machinery," J. Vib. Control, 1, pp. 431-458.
2. Hassard, B. D., Kazarinoff, N. D., and Wan, Y. H., 1981, Theory and Applications of Hopf Bifurcation, London Mathematical Society Lecture Notes 41, Cambridge University Press, New York.
3. Myers, C. J., 1984, "Bifurcation Theory Applied to Oil Whirl in Plain Cylindrical Journal Bearings," ASME J. Appl. Mech., 51, pp. 244-250.
4. Hollis, P., and Taylor, D. L., 1986, "Hopf Bifurcation to Limit Cycles in Fluid Film Bearings," ASME J. Tribol., 108, pp. 184-189.
5. Childs, D., Moes, H., and van Leeuwen, H., 1977, "Journal Bearing Impedance Description for Rotor Dynamic Applications," ASME J. Lubr. Technol., 99, pp. 198-214.
6. Sundararajan, P., 1996, "Response and Stability of Nonlinear Rotor Bearing Systems," Ph.D. thesis, Department of Mechanical Engineering, Texas A&M University, College Station.
7. Deepak, J. C., and Noah, S. T., 1998, "Experimental Verification of Subcritical Whirl Bifurcation of a Rotor Supported on a Fluid Film Bearing," ASME J. Tribol., 120, pp. 605-609.
8. Wang, J. K., and Khonsari, M. M., 2005, "Application of Hopf Bifurcation Theory to the Rotor-Bearing System With Turbulent Effects," Tribol. Int., 39(7), pp. 701-714.
9. Wang, J. K., and Khonsari, M. M., 2005, "Influence of Drag Force on the Dynamic Performance of Rotor-Bearing System," Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 219(4), pp. 291-295.
10. Wang, J. K., and Khonsari, M. M., 2006, "On the Hysteresis Phenomenon Associated With Instability of Rotor-Bearing Systems," ASME J. Tribol., 128, 188-196.
11. Wang, J. K., and Khonsari, M. M., 2006, "Prediction of the Stability Envelope of Rotor-Bearing System," ASME J. Vibr. Acoust., 128, pp. 197-202.
12. Raimondi, A., and Szeri, A. Z., 1984, "Journal and Thrust Bearings," CRC Handbook of Lubrication: Vol. II Theory and Design, E. R. Booser ed., CRC Press, Boca Raton, pp. 413-462.
13. Lund, J. W., 1966, "Self-Excited, Stationary Whirl Orbits of a Journal in a Sleeve Bearings," Ph.D. thesis, Department of Mechanics, Rensselaer Polytechnic Institute, Troy, NY.
14. Childs, D., 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, Wiley, New York.
15. Bar-Yoseph, P., and Blech, J. J., t977, "Stability of a Flexible Rotor Supported by Circumferentially Fed Journal Bearings," ASME J. Lubr. Technol., 99, pp. 469-477.
16. Khonsari, M. M., and Booser, E. R., 2001, Applied Tribology: Bearing Design and Lubrication, Wiley, New York.
17. Khonsari, M. M., and Chang, Y. J., 1993, "Stability Boundary of Non-linear Orbits Within Clearance Circle of Journal Bearings," ASME J. Vibr. Acoust., 115, pp. 303-307.
18. Horattas, G. A., 1996, "Experimental Investigation of Dynamic Nonlinearities in Rotating Machinery," Ph.D. thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland.
19. Horattas, G. A., Adams, M. L., Abdel Magied, M. F., and Loparo, K. A., 1997, "Experimental Investigation of Dynamic Nonlinearities in Rotating Machinery," Proceedings of ASME Design Engineering Technical Conferences, Sept. 14-17, Sacramento, ASME, New York, pp. 1-12.
20. Pinkus, O., 1956, "Experimental Investigation of Resonant Whip," Trans. ASME, 78, pp. 975-983.