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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

A Study of the Nonlinear Interaction Between an Eccentric Squeeze Film Damper and an Unbalanced Flexible Rotor

[+] Author and Article Information
Philip Bonello, Michael J. Brennan

Institute of Sound and Vibration Research, University of Southampton, Highfield, Southampton SO17 1BJ, UK

Roy Holmes

School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK

J. Eng. Gas Turbines Power 126(4), 855-866 (Nov 24, 2004) (12 pages) doi:10.1115/1.1787503 History: Received November 22, 2002; Revised November 20, 2003; Online November 24, 2004
Copyright © 2004 by ASME
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References

De Santiago,  O., San Andrés,  L. A., and Oliveras,  J., 1999, “Imbalance Response of a Rotor Supported on Open-Ends, Integral Squeeze Film Dampers,” ASME J. Eng. Gas Turbines Power, 121, 4, pp. 718–724.
Zeidan,  F., and Vance,  J., 1990, “Cavitation and Air Entrainment Effects on the Response of Squeeze Film Supported Rotors,” ASME J. Tribol., 109, pp. 149–154.
Yakoub,  R. Y., and El-Shafei,  A., 2001, “The Nonlinear Response of Multimode Rotors Supported on Squeeze Film Dampers,” ASME J. Eng. Gas Turbines Power, 123, pp. 839–848.
El-Shafei,  A., and Eranki,  R. V., 1994, “Dynamic Analysis of Squeeze Film Damper Supported Rotors Using Equivalent Linearisation,” ASME J. Eng. Gas Turbines Power, 116, pp. 682–691.
Bonello,  P., Brennan,  M. J., and Holmes,  R., 2002, “Non-Linear Modelling of Rotor Dynamic Systems With Squeeze Film Dampers—An Efficient Integrated Approach,” J. Sound Vib., 249(4), pp. 743–773.
Chu,  F., and Holmes,  R., 1998, “The Effect of Squeeze Film Damper Parameters on the Unbalance Response and Stability of a Flexible Rotor,” ASME J. Eng. Gas Turbines Power, 120, pp. 1–9.
Chu,  F., and Holmes,  R., 2000, “The Damping Capacity of the Squeeze Film Damper in Suppressing the Vibration of a Rotating Assembly,” Tribol. Int., 33(2), pp. 81–97.
Chu, F., 1993, The Vibration Control of a Flexible Rotor by Means of a Squeeze Film Damper, Ph.D. thesis, University of Southampton, UK.
Feng,  N. S., and Hahn,  E. J., 1985, “Density and Viscosity Models for Two-Phase Homogeneous Hydrodynamic Damper Fluids,” ASLE Trans., 29(3), pp. 361–369.
Feng,  N. S., and Hahn,  E. J., 1987, “Effects of Gas Entrainment on Squeeze Film Damper Performance,” ASME J. Tribol., 109, pp. 149–154.
Diaz,  S. E., and San Andrés,  L. A., 1998, “Measurements of Pressure in a Squeeze Film Damper With an Air/Oil Bubbly Mixture,” STLE Tribol. Trans., 41(2), pp. 282–288.
Sykes,  J. E. H., and Holmes,  R., 1990, “The Effects of Bearing Misalignment on the Non-linear Vibration of Aero-engine Rotor-Damper Assemblies,” Proc. Inst. Mech. Eng., Part G: J. Aerospace Eng., 204(2), pp. 83–99.
Neubert, V. H., 1987, Mechanical Impedance: Modelling/Analysis of Structures, Naval sea systems command, Code NSEA-55N.
Bonello,  P., and Brennan,  M. J., 2001, “Modelling the Dynamic Behavior of a Supercritical Rotor on a Flexible Foundation Using the Mechanical Impedance Technique,” J. Sound Vib., 239(3), pp. 445–466.
Seydel, R., 1988, From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis, Elsevier Science, New York.
San Andrés,  L. A., and Vance,  J. M., 1986, “Effects of Fluid Inertia and Turbulence on the Force Coefficients for Squeeze Film Dampers,” ASME J. Eng. Gas Turbines Power, 108, pp. 332–339.
Burghardt, M., 1998, An Investigation of The Squeeze Film Damping of A Super-Critical Rotor, M.Sc. thesis, University of Southampton, UK.
Humes,  B., and Holmes,  R., 1978, “The Role of Subatmospheric Film Pressures in the Vibration Performance of Squeeze-Film Bearings,” J. Mech. Eng. Sci., 20 (5), pp. 283–289.
Ewins, D. J., 1984, Modal Testing: Theory and Practice, Research Student Press, Letchworth, UK.
The Mathworks Inc., 1999, MATLAB ®, Version 5.3.1.29215a (R11.1).

Figures

Grahic Jump Location
Sections through squeeze film damper
Grahic Jump Location
(Reproduced from Ref. 5) Comparison of exact rotor receptance function αJU(ω) computed by the mechanical impedance method (—— ) with the approximation synthesised from four modes (– – –) (Both lines overlay)
Grahic Jump Location
Convergence of RHB N=1 as the number of harmonics m is increased for XJ0/c,YJ0/c=0, −0.8 and U=5.10×10−4 kg m.m=1 ([[dotted_line]]), m=2 (⋅ - ⋅ - ⋅), m=5 (– – –); modal numerical integration (—— ).
Grahic Jump Location
Correlation between RHB and numerical integration predictions for amplitude at M with XJ0/c,YJ0/c=0, −0.8 and U=5.10×10−4 kg m. RHB N=1,m=5: -○- (stable), - * - (unstable); numerical integration: 𝛁. Vertical axes show ratio of half the peak-to-peak displacement to c.
Grahic Jump Location
Unbalance response for XJ0/c,YJ0/c=0, −0.6 and U=2.59×10−4 kg m. All predictions are RHB N=1,m=5. Vertical axes show ratio of half peak-to-peak displacement to c.
Grahic Jump Location
Unbalance response for XJ0/c,YJ0/c=0, −0.6 and U=5.10×10−4 kg m. All predictions are RHB N=1,m=5. Vertical axes show ratio of half peak-to-peak displacement to c.
Grahic Jump Location
Variation of normalized mean y displacement (ȲJ/c) of J relative to housing center with rotational speed. All predictions are RHB N=1,m=5.
Grahic Jump Location
(reproduced from Ref. 5): Comparison of predicted and measured orbital motion at J, U, and M at 28 rev/s for XJ0/c,YJ0/c=0, −0.8 and U=5.10×10−4 kg m. RHB, N=1,m=5 (– – –), measurement over 0.5 s (—— ).
Grahic Jump Location
Unbalance response for XJ0/c,YJ0/c=0, −0.8 and U=2.59×10−4 kg m. All predictions are RHB N=1,m=5. Vertical axes show ratio of half peak-to-peak displacement to c.
Grahic Jump Location
Unbalance response for XJ0/c,YJ0/c=0, −0.8 and U=5.10×10−4 kg m. All predictions are RHB N=1,m=5. Vertical axes show ratio of half peak-to-peak displacement to c.

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