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On the vibrations of shafts rotating on lubricated bearings. (English) Zbl 0097.19203

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[1] A review of work on self-excited vibrations can be found in the paperJournal Bearing Instability: a Review byB. L. Newkirk, published in the Proceedings of the Conference on Lubrication and Wear of the Inst. Mech. Eng., London, 1957. More recently the problem has been studied byE. Frederiksen inNotes on Oil Whirl of Flexible Rotors Supported by Cylindrical Journal Bearings, Ingenioren (International Ed.),1 (1957), 29-36; byJ. H. Halton inElliptical Whirl of Flooded Journal Bearings, Proc. Cambridge Phil. Soc.,54 (1958), 119-127; byFinn Ørbeck inTheory of Oil Whip for Vertical Rotors Supported by Plain Journal Bearings, Trans. A. S. M. E.,80 (1958), 1497-1502; and byYukio Hori inA Theory of Oil Whip, J. Appl. Mech.,26 E (1959) 189-198.A. C. Hagg andG. O. Sankey have studied the problem of forced vibrations inSome Dynamic Properties of Oil Film Journal Bearings with Reference to the Unbalance Vibration of Rotors, J. Appl. Mech.,23 (1956) 302-306.
[2] For instance, self-excited oscillations may be avoided when bearings of proper geometry are introduced. See the review paper byB. L. Newkirk quoted in footnote (1) and earlier papers by the same author.
[3] Cole, J. A.; Hughes, C. J., Oil Flow and Film Extent in Complete Journal Bearings, Proc. I. Mech. E., 170, 499-510 (1956)
[4] Wilcock, D. F., Turbulence in High Speed Journal Bearings, Trans. A. S. M. E., 72, 825-833 (1950)
[5] Reynolds, O., On the Theory of Lubrication and its Application to Mr. Beauchamp Tower’s Experiments, Phil. Trans. Roy. Soc. AI and II, 177, 157-157 (1886)
[6] Tao, L. N., General Solution of Reynolds Equation for a Journal Bearing of Finite Width, Q. Appl. Math., 17, 129-136 (1959) · Zbl 0088.42501
[7] Sommerfeld, A., Zur hydrodynamischen Theorie der Schmiermittelreibung, Z. Math. Phys., 50, 97-97 (1904) · JFM 35.0765.03
[8] F. W. Ocvirk, Techn. Note No. 2808, N. A. C. A., Washington, 1952.
[9] Muskat, M.; Morgan, F., Studies in Lubrication. I. The Theory of Thick Film Lubrication of a Complete Journal Bearing of Finite Length, J. Appl. Phys., 9, 393-393 (1938) · JFM 64.1471.06
[10] Colombo, F., Sopra il fenomeno dell’azione asincrona, Rend. Sem. Mat. Padova, 24, 353-395 (1955) · Zbl 0066.17603
[11] Pinkus, O., Experimental Investigation of Resonant Whip, Trans. A. S. M. E., 78, 975-983 (1956)
[12] Hagg, A. C., The Influence of Oil Film Journal Bearings on the Stability of Rotating Machines, J. Appl. Mech., Trans. A. S. M. E., 68, A211-A220 (1946)
[13] Bishop, R. E. D., The Vibration of Rotating Shafts, Journ. Mech. Eng. Science, 1, 50-65 (1959) · Zbl 0094.20902
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