Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Asymptotic expansions in nonlinear rotordynamics


Author: William B. Day
Journal: Quart. Appl. Math. 44 (1987), 779-792
DOI: https://doi.org/10.1090/qam/99613
MathSciNet review: QAM99613
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Abstract | References | Additional Information

Abstract: This paper is an examination of special nonlinearities of the Jeffcott equations in rotordynamics. The immediate application of this analysis is directed toward understanding the excessive vibrations recorded in the LOX pump of the SSME during hot-firing ground testing.

References [Enhancements On Off] (What's this?)

  • [1] Lamberto Cesari, Asymptotic behavior and stability problems in ordinary differential equations, Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Bd. 16, Academic Press Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0151677
  • [2] D. W. Childs, The Space Shuttle main engine high-pressure fuel turbopump rotordynamics instability problem, Trans. ASME, J. Engrg. for Power, 48-57 (January 1978)
  • [3] D. W. Childs, Rotordynamic characteristics of the HPOTP (high pressure oxygen turbopump) of the SSME (Space Shuttle main engine), NASA MSFC Contract NAS8-34505, Turbomachinery Laboratories Report FD-1-84 (30 January 1984)
  • [4] Florea Dincă and Cristian Teodosiu, Nonlinear and random vibrations, Editura Academiei Republicii Socialiste România, Bucharest; Academic Press, Inc. [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1973. Translated from the Romanian by Christian Teodosiu. MR 0471495
  • [5] P. K. Gupta, L. W. Winn, and D. B. Wilcock, Vibrational characteristics of ball bearings, Trans. ASME J. of Lubrication Technology, 99F, No. 2, 284-289 (1977)
  • [6] H. H. Jeffcott, The lateral vibration of loaded shafts in the neighborhood of a whirling speed-- The effect of want of balance, Philos. Mag., Series 6, 37, 304 (1919)
  • [7] M. Kubíček and M. Marek, Computational methods in bifurcation theory and dissipative structures, Springer Series in Computational Physics, Springer-Verlag, New York, 1983. MR 719370
  • [8] Ali Hasan Nayfeh, Perturbation methods, John Wiley & Sons, New York-London-Sydney, 1973. Pure and Applied Mathematics. MR 0404788
  • [9] T. T. Yamamoto, On critical speeds of a shaft, Mem. Fac. Engrg. Nagoya Univ., 6, No. 2, (1954)

Additional Information

DOI: https://doi.org/10.1090/qam/99613
Article copyright: © Copyright 1987 American Mathematical Society

American Mathematical Society