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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

The Nonlinear Response of Multimode Rotors Supported on Squeeze Film Dampers

[+] Author and Article Information
R. Y. Yakoub, A. El-Shafei

Department of Mechanical Design and Production, Faculty of Engineering Cairo University, Giza 12316, Egypt

J. Eng. Gas Turbines Power 123(4), 839-848 (Dec 01, 2000) (10 pages) doi:10.1115/1.1370974 History: Received July 01, 1998; Revised December 01, 2000
Copyright © 2001 by ASME
Topics: Algorithms , Dampers , Rotors , Force
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References

Mohan,  S., and Hahn,  E. J., 1974, “Design of Squeeze Film Damper Supports for Rigid Rotors,” ASME J. Eng. for Industry, 96, pp. 976–982.
Taylor,  D. L., and Kumar,  B. R. K., 1980, “Nonlinear Response of Short Squeeze Film Dampers,” ASME J. Lubr. Technol., 102, pp. 51–58.
Taylor,  D. L., and Kumar,  B. R. K., 1983, “Closed Form Steady State Solution for the Unbalance Response of a Rigid Rotor in Squeeze Film Damper,” ASME J. Eng. for Power, 105, pp. 551–559.
El-Shafei,  A., 1990, “Unbalance Response of a Jeffcott Rotor Incorporating Short Squeeze Film Dampers,” ASME J. Eng. Gas Turbines Power, 112, pp. 445–453.
El-Shafei,  A., 1991, “Unbalance Response of Jeffcott Rotor Incorporating Long Squeeze Film Dampers,” ASME J. Vibr. Acoust., 113, pp. 85–94.
Becker, K. H., and Steinhardt, E., 1990, “A General Method For Rotrodynamic Analysis,” Vibration and Wear in High Speed Rotating Machinery, Kluwer Academic Publishers, Dordrecht, The Netherlands, p. 263.
Greenhill,  L., and Nelson,  H. D., 1982, “Iterative Determination of Squeeze Film Damper Eccentricity for Flexible Rotor Systems,” ASME J. Mech. Des., 104, pp. 334–338.
Mclean,  L. J., and Hahn,  E. J., 1983, “Unbalance Behavior of Squeeze Film Damped Multi-Mass Flexible Rotor Bearing Systems,” ASME J. Lubr. Technol., 105, p. 22.
Bayoumi, H. N., 1995, “Development of a Finite Element Program for Nonlinear Rotordynamics Analysis Using Equivalent Linearization,” M.Sc. thesis, Cairo University.
El-Shafei, A., Bayoumi, H. N., and Mansour, A. M. A., 1998, “Nonlinear Rotor Dynamic Analysis Using Finite Elements and Equivalent Linearization,” Fifth IFToMM International Conference on Rotordynamics, Darmstadt, Germany, pp. 175–187.
El-Shafei,  A., and Eranki,  R. V., 1994, “Dynamic Analysis of Squeeze Film Damper Supported Rotors Using Equivalent Linearization,” ASME J. Eng. Gas Turbines Power, 116, pp. 682–691.
Gunter,  E. J., Choy,  K. C., and Allaire,  P. E., 1978, “Modal Analysis of Turborotors Using Planar Modes-Theory,” J. Franklin Inst., 305, pp. 221–243.
Youssef, R., and El-Shafei, A., 1996, “The Unbalance Response of a Multiple-Mode Rotor Supported on Short Squeeze Film Dampers,” presented at the International Gas Turbine and Aeroengine Congress and Exhibition, Birmingham, UK. Paper No. 96-GT-23.
Hathout,  J. P., El-Shafei,  A., and Youssef,  R., 1997, “Active Control of Multi-Mode Rotor-Bearing System Using HSFDs,” ASME J. Tribol., 119, pp. 49–56.
IMSL MATH/LIBRARY-FORTRAN Subroutines for Mathematical Applications, Version 1.0, April 1987.
Murphy, B. T., 1993, “Improved Rotordynamics Unbalance Response Calculations Using the Polynomial Method,” Vibration of Rotating Systems, ASME, DE-60, pp. 35–42.
Rabinowitz,  M. D., and Hahn,  E. J., 1977, “Stability of Squeeze Film Damper Supported Flexible Rotors,” ASME J. Eng. for Power, 99, pp. 545–551.
Yakoub, Y. R., and El-Shafei, A., 1998, “A Fast Method to Obtain the Nonlinear Response of Multi-Mode Rotors Supported on Squeeze Film Dampers Using Planar Modes, Part I and Part II,” presented at the 1998 International Gas Turbine and Aeroengine Congress and Exhibition, Sweden, ASME papers 98-GT-412 and 98-GT-413.
CRITSPD-PC, Version 1.04, 1987, User’s Manual, by RODYN-Vibration, Charlottesville, VA.

Figures

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(a) The effect of the unbalance on the vibration amplitude, short cavitated damper (SC-model); (b) the effect of the unbalance on the damper forces, short cavitated damper (SC-model)
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(b) the effect of retainer spring stiffness on the damper forces, short uncavitated damper (SU-model)
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(a) The effect of retainer spring stiffness on the vibration amplitude, short uncavitated damper (SU-model)
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(b) the effect of damper clearance on the damper forces, short uncavitated damper (SU-model)
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(a) The effect of damper clearance on the vibration amplitude, short uncavitated damper (SU-model)
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The unbalance response of an aircraft gas turbine fan rotor (AFTFR). Case 42: Damper location: fan bearing (point #4), unbalanced disk: first stage fan (point #2), short uncavitated damper (SU-model).
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The unbalance response of an aircraft gas turbine fan rotor (AGTFR). Case 41: Damper location: fan bearing (point #4), unbalanced disk: fan (point #1), short uncavitated damper (SU-model).
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Aircraft gas turbine fan rotor and its mode shapes
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Multidisk rotor supported by squeeze film damper (SFD)

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