On the hysteresis phenomenon associated with instability of rotor-bearing systems

Journal of Tribology

Volumn 128, Issue 1, 2006, Pages 188-196

  Wang, J K ^a   Khonsari, M M ^a  

^a Louisiana State University   (United States)

Author keywords

Hopf bifurcation; Hysteresis phenomenon; Subcritical bifurcation profile; Unstable periodic solution

Indexed keywords

HYSTERESIS; LUBRICATING OILS; ROTORS; VISCOSITY;

HOPF BIFURCATION THEORY; ROTOR-BEARING SYSTEMS; SUBCRITICAL BIFURCATION PROFILE; UNSTABLE PERIODIC SOLUTION;

BEARINGS (MACHINE PARTS);

BEARINGS (MACHINE PARTS); HYSTERESIS; LUBRICATING OILS; ROTORS; VISCOSITY;

EID: 33645772504     PISSN: 07424787     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2125927     Document Type: Article

References (23)

1. Newkirk, B. L., and Taylor, H. D., 1925, "Shaft Whipping Due to Oil Action in Journal Bearing," Gen. Electr. Rev., 28, pp. 559-568.
2. Adams, M. L., Adams, M. L., and Guo, J. S., 1996, "Simulations and Experiments of the Non-linear Hysteresis Loop for Rotor-Bearing Instability," C500/001/96, IMechE Conference Transactions 1996-6, Sixth International Conference on Vibration in Rotating Machinery, Oxford, UK, September, pp. 309-319.
3. Pinkus, O., 1956, "Experimental Investigation of Resonant Whip," Trans. ASME, 78, pp. 975-983.
4. Hori, Y., 1959, "A Theory of Oil Whip," ASME J. Appl. Mech., 26, pp. 189-198
5. Hori, Y., 1988, "Anti-earthquake Considerations in Rotordynamics," C318/88, Proceedings of the ImechE Fourth International Conference on Vibration in Rotating Machinery, Edinburgh, September, pp. 1-8.
6. Guo, J. S., 1995, "Characteristics of the Nonlinear Hysteresis Loop for Rotor-Bearing Instability," Ph.D. thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University.
7. 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.
8. 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 DETC' 1997, 1997 ASME Design Engineering Technical Conferences, September 14-17, Sacramento, California.
9. Muszynska, A., 1998, "Transition to Fluid-Induced Stability Boundaries Self-Excited Vibrations of a Rotor and Instability Threshold 'Hysteresis'," Proceedings of ISROMAC-7, The 7th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, February, Honolulu, HI, pp. 775-784.
10. Myers. C. J., 1984, "Bifurcation Theory Applied to Oil Whirl in Plain Cylindrical Journal Bearings," ASME J. Appl. Mech., 51, pp. 244-250.
11. Hollis, P., and Taylor, D. L., 1986, "Hopf Bifurcation to Stability Boundaries in Fluid Film Bearings," ASME J. Tribol., 108, pp. 184-189.
12. Sundararajan, P., and Noah, S. T., 1995, "Local and Global Effects of Nonlinearities in Rotating Machinery - Application to Journal Bearing Supported Rotor Systems," Turbomachinery Research Consortium Report, Texas A&M University.
13. Noah, S. T., 1995, "Significance of Considering Nonlinear Effects in Predicting the Dynamic Behavior of Rotating Machinery," J. Vib. Control, 1, pp. 431-458.
14. 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.
15. 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, Cambridge, UK.
16. Chauvin, D., 2003, "An Experimental Investigation of Whirl Instability Including Effects of Lubricant Temperature in Plain Circular Journal Bearings," M.S. thesis, Department of Mechanical Engineering, Louisiana State University.
17. Lund, J. W., 1974, "Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings", J. Eng. Ind., 96(2), pp. 509-517.
18. Bhat R. B., Rao, J. S., and Sankar, T. S., 1982, "Optimum Journal Bearing Parameters for Minimum Rotor Unbalance Response in Synchronous Whirl," ASME J. Mech. Des., 104, pp. 339-344.
19. Khonsari, M. M., and Chang, Y. J., 1993, "Stability Boundary of Non-linear Orbits within Cleareance Circle of Journal Bearings," ASME J. Vibr. Acoust., 115, pp. 303-307.
20. Khonsari, M. M., and Booser, E. R., 2001, Applied Tribology. Bearing Design and Lubrication, John Wiley & Sons, New York.
21. Khonsari, M. M., 1987, "A Review of Thermal Effects in Hydrodynamic Bearings. Part II: Journal Bearings," ASLE Trans., 30(1), pp. 26-33.
22. Khonsari, M., Jang, J., and Fillon, M., 1996, "On the Generalization of Thermohydrodynamic Analysis for Journal Bearings," ASME J. Tribol., 118, pp. 571-579.
23. Chang, Y. J., 1991, "The Effect of Supply Temperature and Shaft Flexibility on the Shaft of Journal Bearings," M.S. thesis, Department of Mechanical Engineering, University of Pittsburgh.