Bifurcation of limit cycles in fluid film bearings

Chouchane, Mnaouar; Amamou, Amira

doi:10.1016/j.ijnonlinmec.2011.06.005

Cited by 45 publications

(18 citation statements)

References 7 publications

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“…Continuation methods have been applied for journalbearing stability analysis in only few publications. [17][18][19] In these publications, the bifurcation of limit cycles has not been thoroughly investigated for the shortbearing dynamic model.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the nonlinear hysteresis loop for fluid-film bearings by numerical continuation

Sghir

Chouchane

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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A nonlinear dynamic model of a short journal bearing is used to predict the steady-state motion of the journal and its successive bifurcations in the neighbourhood of the stability critical speed. Numerical continuation is applied to determine the branch of equilibrium point and its bifurcation into stable or unstable limit cycles. It has been found that the unstable limit cycles undergo a single limit point bifurcation whereas the stable limit cycles undergo two successive limit point bifurcations. Thus, the bi-stability domain, the potential jumping from small to large motion and the hysteresis loop motion are predicted.

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Section: Introductionmentioning

confidence: 99%

Prediction of the nonlinear hysteresis loop for fluid-film bearings by numerical continuation

Sghir

Chouchane

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In literature, the abrupt change of displacement or eccentricities at SW,Onset , c.f. Figure 6, is often described as a jump-like phenomenon of the shaft orbits to so-called limit cycles, see, e.g., [6,[31][32][33]. Before the occurrence of the self-excited vibration, the shaft rotational axis performs small motions around a quasi-equilibrium state of the rotor at the particular rotational speed.…”

Section: Customized Laval/jeffcott-rotor In Plain Hydrodynamic Bearingsmentioning

confidence: 99%

The Effect of Non-Circular Bearing Shapes in Hydrodynamic Journal Bearings on the Vibration Behavior of Turbocharger Structures

Bernhauser¹,

Heinisch²,

Schörgenhumer

et al. 2017

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Increasing quality demands of combustion engines require, amongst others, improvements of the engine's acoustics and all (sub)components mounted to the latter. A significant impact to the audible tonal noise spectrum results from the vibratory motions of fast-rotating turbocharger rotor systems in multiple hydrodynamic bearings such as floating bearing rings. Particularly, the study of self-excited non-linear vibrations of the rotor-bearing systems is crucial for the understanding, prevention or reduction of the noise and, consequently, for a sustainable engine acoustics development. This work presents an efficient modeling approach for the investigation, optimization, and design improvement of complex turbocharger rotors in hydrodynamic journal bearings, including floating bearing rings with circular and non-circular bearing geometries. The capability of tonal non-synchronous vibration prevention using non-circular bearing shapes is demonstrated with dynamic run-up simulations of the presented model. These findings and the performance of our model are compared and validated with results of a classical Laval/Jeffcott rotor-bearing model and a specific turbocharger model found in the literature. It is shown that the presented simulation method yields fast and accurate results and furthermore, that non-circular bearing shapes are an effective measure to reduce or even prevent self-excited tonal noise.

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“…Non-linear bifurcation theory was used to predict stable or unstable periodic oscillations close to the critical speed. Chouchane and Amamou 12 applied numerical continuation to obtain stable or unstable limit cycles bifurcation from the equilibrium point at the critical speed.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of a rigid rotor supported by two-lobe hydrodynamic journal bearings operating with a non-Newtonian lubricant

Yadav

Rajput

Ram

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part J:

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In the present work, an investigation has been performed on a rigid rotor supported by two-lobe journal bearings operating with a non-Newtonian lubricant. The governing Reynolds equation for pressure field is solved by using non-linear finite element method. Further to study the dynamic stability of the bearing system, governing equation of motion for the rotor position is solved by fourth order Runge–Kutta method. Bifurcation and Poincaré maps of two-lobe bearings are presented for different values of the non-Newtonian parameter and bearing ellipticity ratio. The numerical results illustrate that the ellipticity of a bearing with a dilatant lubricant improve the stability of the rotordynamic system.

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Bifurcation of limit cycles in fluid film bearings

Cited by 45 publications

References 7 publications

Prediction of the nonlinear hysteresis loop for fluid-film bearings by numerical continuation

Prediction of the nonlinear hysteresis loop for fluid-film bearings by numerical continuation

The Effect of Non-Circular Bearing Shapes in Hydrodynamic Journal Bearings on the Vibration Behavior of Turbocharger Structures

Stability analysis of a rigid rotor supported by two-lobe hydrodynamic journal bearings operating with a non-Newtonian lubricant

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