2004
DOI: 10.1016/s0022-460x(03)00663-1
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On the non-linear dynamic behavior of a rotor–bearing system

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Cited by 75 publications
(18 citation statements)
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“…When the speed is greater than 5,400 rpm, the period-one motion ends because of the oil whirl and the oil whip. Through a Hopf bifurcation as reported in [9], theoretically the system becomes unstable. The motion becomes quasi-periodic as illustrated in Fig.…”
Section: Theoretical Results From Nonlinear Analysismentioning
confidence: 79%
See 1 more Smart Citation
“…When the speed is greater than 5,400 rpm, the period-one motion ends because of the oil whirl and the oil whip. Through a Hopf bifurcation as reported in [9], theoretically the system becomes unstable. The motion becomes quasi-periodic as illustrated in Fig.…”
Section: Theoretical Results From Nonlinear Analysismentioning
confidence: 79%
“…The nonlinear dynamic behavior of the rotor-bearing system was approached by a simple discrete model in [8]. Jing [9] analyzed the nonlinear dynamic behavior of a rotor-bearing system based on a continuum model using finite element method. Villa [10] used the invariant manifold approach to explore the dynamics of a nonlinear rotor-bearing system.…”
Section: Introductionmentioning
confidence: 99%
“…The dynamics of the rotor centre and bearing centre are studied. JianPing et al [8] also showed that the rotor undergoes Hopf Bifurcation as the rotor speed is increased. Castro et al [9] showed the effects of unbalance, journal bearing parameters and rotor arrangement (vertical or horizontal) on the bifurcation characteristics of a flexible rotor supported in short journal bearing.…”
Section: Introductionmentioning
confidence: 98%
“…Each of these self-sustained vibrations develops as a transition from two unstable modes of a concentric configuration of the rotor. Muszynska's original paper on her model from 1986 is her most cited paper and is considered as a fundamental theoretical work in the area of whirl/whip-instabilities (see for example [2][3][4]). Fluid-induced self-excited vibrations in rotating machinery cover a vast area of research.…”
Section: Introductionmentioning
confidence: 99%