Finite Element Analysis of Oil-Lubricated Elliptical Journal Bearings

Fixed-geometry hydrodynamic journal bearings are
one of the best supporting systems for several applications of rotating
machinery. Cylindrical journal bearings present excellent loadcarrying
capacity and low manufacturing costs, but they are subjected
to the oil-film instability at high speeds. An attempt of overcoming
this instability problem has been the development of non-circular
journal bearings. This work deals with an analysis of oil-lubricated
elliptical journal bearings using the finite element method. Steadystate
and dynamic performance characteristics of elliptical bearings
are rendered by zeroth- and first-order lubrication equations obtained
through a linearized perturbation method applied on the classical
Reynolds equation. Four-node isoparametric rectangular finite
elements are employed to model the bearing thin film flow. Curves of
elliptical bearing load capacity and dynamic force coefficients are
rendered at several operating conditions. The results presented in this
work demonstrate the influence of the bearing ellipticity on its
performance at different loading conditions.





References:
[1] B. Sternlicht and P. Lewis, “Vibration problems with high speed
turbomachinery,” ASME Journal of Engineering for Industry, 1968, pp.
174–186.
[2] K. Knöss, “Journal bearings for industrial turbosets,” Brown Boveri
Review, vol. 67, 1980, pp.300-308.
[3] R.C. Juvinall and K.M. Marshek, Fundamentals of Machine Component
Design. New York: John Wiley & Sons, 5th Ed., 2012.
[4] R.G. Budynas and J.K. Nisbett, Shigley´s Mechanical Engineering
Design. New York: McGraw-Hill, 9th Ed., 2011.
[5] R. Norton, Machine Design – An Integrated Approach. New York:
Prentice-Hall, 2nd Ed., 2000.
[6] P.E. Allaire and R.D. Flack, “Design of journal bearings for rotating
machinery,” in Proc 10th Turbomachinery Symposium, Houston, 1981,
pp. 25–45.
[7] F.A.G. Correia, “Determinação das características de desempenho de
mancais radiais elípticos utilizando o método de elementos finitos”,
M.Sc. Thesis, Graduate Program in Mechanical Engineering,
Universidade Federal de Minas Gerais, Belo Horizonte, Brazil, 2007.
[8] P. Klit and J.W. Lund, “Calculation of the dynamic coefficients of a
journal bearing, using a variational approach,” ASME Journal of
Tribology, vol. 108, 1986, pp.421-425.
[9] K.J. Bathe, Finite element procedures in engineering analysis. New
York: Prentice-Hall, 1982.
[10] B.J. Hamrock, Fundamentals of Fluid Film Lubrication. New York:
McGraw-Hill, 1994.
[11] A. Singh and B.K. Gupta, “Stability limits of elliptical journal bearing
supporting flexible rotors,” Wear, vol. 77, 1982, pp. 159-170.
[12] W.M. Miranda and M.T.C. Faria, “Lateral vibration analysis of flexible
shafts supported on elliptical journal bearings”, Tribology Letters, vol.
48, 2012, pp.217-227.
[13] D. Childs, 1993, Turbomachinery rotordynamics. New York: John
Wiley & Sons, 1993.
[14] J.M. Vance, Rotordynamics of turbomachinery. New York: John Wiley
& Sons, 1988.