Abstract
This paper presents a complete perturbation solution in the eccentricity ratio for Reynolds' equation, for finite squeeze-film dampers executing linear motion. Orders of the perturbed solution are presented for the pressure and velocity fields. This represents a closed-form solution for finite squeeze-film dampers that can be used for rotordynamic simulation applications, to replace time-consuming finite-difference solutions. The perturbation solution provided in this paper can be extended for various damper sealing configurations, using appropriate boundary conditions, and provides insight into the damper characteristics.
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References
O. Reynolds, Phil. Trans. Royal Soc., London, 177(I) (1886) 157.
A. Sommerdeld, Z. Math. Physik, 50 (1904) 97.
O. Pinkus and B. Sternlicht, Theory of Hydrodynamic Lubrication (McGraw-Hill, New York, 1961).
A. El-Shafei, J. Eng. Appl. Sci. 49 (2002) 163.
M. A. Rezvani and E. J. Hahn, ASME J. Trib. 115 (1993) 544.
S. M. Rohde and D. F. Li, ASME J. Lubr. Tech. 102 (1980) 278.
L. E. Barrett, P. E. Allaire and E. J. Gunter, Topics in Fluid Film Bearing and Rotor Bearing System Design and Optimization, (ASME, New York, 1978).
F. A. Rodrigues, F. Thouverez, C. Gibert and L. Jezequel, ASME J. Eng. for Gas Turbine Power, to appear (2001).
A. Fuerst, H. I. Weber and G. C. Brito, IFToMM Fifth International Conference on Rotor Dynamics, Darmstadt, (1998).
A. El-Shafei, ASME Turbo Expo, June 3–6, Amsterdam, ASME paper GT-2002-30637 (2002).
G. E. Carrier and C. E. Pearson, Partial Differential Equations: Theory and Technique (Academic Press, Orlando, Florida, 1976).
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El-Shafei, A. Perturbation Solution for Finite Squeeze-Film Dampers Executing Linear Motion. Tribology Letters 14, 111–121 (2003). https://doi.org/10.1023/A:1021756304514
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DOI: https://doi.org/10.1023/A:1021756304514