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: 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.
- Lamberto Cesari, Asymptotic behavior and stability problems in ordinary differential equations, 2nd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 16, Academic Press Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0151677
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)
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)
- Florea Dincă and Cristian Teodosiu, Vibraţii neliniare şi aleatoare, Editura Academiei Republicii Socialiste România, Bucharest, 1969 (Romanian). MR 0471494
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)
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)
- 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
- Ali Hasan Nayfeh, Perturbation methods, John Wiley & Sons, New York-London-Sydney, 1973. Pure and Applied Mathematics. MR 0404788
T. T. Yamamoto, On critical speeds of a shaft, Mem. Fac. Engrg. Nagoya Univ., 6, No. 2, (1954)
L. Cesari, Asymptotic behavior and stability problems in ordinary differential equations, Academic Press, 1963.
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)
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)
F. Dinca and C. Teodosiu, Nonlinear and random vibrations, Academic Press, 1973
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)
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)
M. Kubicek and M. Marek, Computational methods in bifurcation theory and dissipative structures, Springer-Verlag, 1983.
A. H. Nayfeh, Perturbation methods, John Wiley & Sons, 1973
T. T. Yamamoto, On critical speeds of a shaft, Mem. Fac. Engrg. Nagoya Univ., 6, No. 2, (1954)
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Article copyright:
© Copyright 1987
American Mathematical Society
