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Record Details

Record 19 of 491
Asymptotic expansions in nonlinear rotordynamics
Author and Affiliation:
Day, William B.(Auburn University, AL, United States)
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. Deadband, side force, and rubbing are three possible sources of inducing nonlinearity in the Jeffcott equations. The present analysis initially reduces these problems to the same mathematical description. A special frequency, named the nonlinear natural frequency, is defined and used to develop the solutions of the nonlinear Jeffcott equations as singular asymptotic expansions. This nonlinear natural frequency, which is the ratio of the cross-stiffness and the damping, plays a major role in determining response frequencies.
Publication Date: Jan 01, 1987
Document ID:
19870045824
(Acquired Nov 28, 1995)
Accession Number: 87A33098
Subject Category: MECHANICAL ENGINEERING
Document Type: Journal Article
Publication Information: Quarterly of Applied Mathematics (ISSN 0033-569X); 44; 779-792
Publisher Information: United States
Contract/Grant/Task Num: NAS8-35992
Financial Sponsor: NASA; United States
Organization Source: Auburn Univ.; AL, United States
Description: 14p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: ASYMPTOTIC METHODS; ROTOR BLADES (TURBOMACHINERY); SPACE SHUTTLE MAIN ENGINE; TURBINE PUMPS; VIBRATION; NONLINEAR EQUATIONS; RESONANT FREQUENCIES
Imprint And Other Notes: Quarterly of Applied Mathematics (ISSN 0033-569X), vol. 44, Jan. 1987, p. 779-792.
Availability Source: Other Sources
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