期刊
MECHANISM AND MACHINE THEORY
卷 72, 期 -, 页码 17-24出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2013.10.002
关键词
Long journal bearings; Nonlinear stability analysis; Hopf bifurcation; Bifurcation of limit cycles; Numerical continuation
Hydrodynamic bearings are frequently used in applications involving high loads and high speeds. They may however be subjected to oil whirl instability which may cause their failure. For a successful application of fluid film bearings, it is essential to predict the stability boundaries in terms of the bearing characteristics as well as other nonlinear phenomena observed near the stability limits such as stable and unstable limit cycle motion, hysteresis and jumping phenomena. A model of a long balanced hydrodynamic journal bearing is considered in this paper. Numerical continuation is then used to predict the branch of the journal equilibrium point, the Hopf bifurcation point and the emerging stable or unstable limit cycles. Depending on the bearing characteristics, the stability threshold occurs either at a supercritical or at a subcritical Hopf bifurcation. For journal speeds above the supercritical bifurcation, the journal undergoes stable limit cycles. For the stability boundaries due to a subcritical bifurcation, a limit point of cycle bifurcation is found defining the domain of possible journal jumping from the equilibrium position to large limit cycles and hysteresis phenomenon during rotor speed variation near the stability threshold. (C) 2013 Elsevier Ltd. All rights reserved.
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