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A Theoretical Series Solution for the Dynamics of Finite-Length Bearings and Squeeze-Film Dampers

[+] Author Affiliations
José Antunes

Institute of Nuclear Technology, Sacavem, Portugal

Miguel Moreira

Polytechnic Institute of Setubal, Setubal, Portugal

Philippe Piteau

Comissariat à l’Énergie Atomique

Paper No. PVP2003-2094, pp. 231-238; 8 pages
doi:10.1115/PVP2003-2094
From:
  • ASME 2003 Pressure Vessels and Piping Conference
  • Flow-Induced Vibration
  • Cleveland, Ohio, USA, July 20–24, 2003
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-4156-1
  • Copyright © 2003 by ASME

abstract

In this paper we develop a non-linear dynamical solution for finite length bearings and squeeze-film dampers based on a Spectral-Galerkin method. In this approach the gap-averaged pressure is approximated, in the lubrication Reynolds equation, by a truncated double Fourier series. The Galerkin method, applied over the residuals so obtained, generate a set of simultaneous algebraic equations for the time-dependent coefficients of the double Fourier series for the pressure. In order to assert the validity of our 2D–Spectral-Galerkin solution we present some preliminary comparative numerical simulations, which display satisfactory results up to eccentricities of about 0.9 of the reduced fluid gap H/R. The so-called long and short-bearing dynamical solutions of the Reynolds equation, reformulated in Cartesian coordinates, are also presented and compared with the corresponding classic solutions found on literature.

Copyright © 2003 by ASME

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