The aperiodic behaviour of a rigid shaft in short journal bearings

Holmes, A. G.; Ettles, C. M. McC.; Mayes, I. W.

doi:10.1002/nme.1620120412

Cited by 53 publications

(30 citation statements)

References 4 publications

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“…Plotting this boundary on axes of eccentricity and dynamic/static force ratio resulted in Figure 7. As can be seen the data from [10] for an U/C ratio of 0,2 is remarkably similar, the lower levels of mass eccentricity being compensated for by increased speed. …”

Section: Fractal Dimension Using Grassberger-procaccia Algorithmsupporting

confidence: 59%

“…The first paper dealing with aperiodic behaviour in journal bearings was published in 1978 by Holmes et al [10]. In this work it was concluded that moderate levels of unbalance and high eccentricity ratio led to aperiodic response at speeds above a threshold value.…”

Section: Introductionmentioning

confidence: 93%

“…The transition from regular limit cycle response to the chaotic regime, as the unbalance level is increased, is revealed using frequency spectra and Poincar6 sections of phase-plane data. Further consideration of dynamic/static force ratio show the present large unbalance chaotic case can be shown to lie on the low unbalance aperiodic boundary in [10].…”

Section: Introductionmentioning

confidence: 99%

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Chaos in the unbalance response of journal bearings

1994

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The behaviour of non-linear systems often yield unexpected phenomena which are extremely sensitive to initial conditions. The hydrodynamic journal bearing is a common machine element which is strongly nonlinear for large excursions within the clearance space. A simple model of a rigid journal, supported hydrodynamically using a short beating theory is shown to behave chaotically when the rotating unbalance force exceeds the gravitational load. At these values of the force ratio the time history of the response is very sensitive to initial conditions and a spectral analysis demonstrates a significant broadening from the expected peak at the rotational frequency. A once per revolution sampling of the time history (Poincar6 plot) revealed an apparent aperiodic pattern. An estimate of the fractal dimension using the Grasberger-Procaccia algorithm resulted in a lower bound of 2.15, a typical result for low dimensional systems with significant dissipative action. The required levels of unbalance are only an order of magnitude greater than acceptable levels for rotating machinery and thus could be achieved with in-service erosion or minor damage. The subsequent non-synchronous response could result in fatigue and potential shaft failure.

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Section: Fractal Dimension Using Grassberger-procaccia Algorithmsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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Chaos in the unbalance response of journal bearings

1994

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“…Ehrich [12] investigated bifurcations in a high-speed rotor-bearing system and found that the rotor response was characterized by a sub-harmonic vibration phenomenon. In 1978, Holmes et al [13] investigated the steady-state motion of a rigid shaft supported by two short journal bearings. The results showed that at small values of eccentricity, the motion was asymptotically periodic and consisted of a small number of components, located principally at synchronous and half-synchronous frequencies.…”

Section: Introductionmentioning

confidence: 99%

Bifuraction Analysis of Hydrodynamic Plain Journal Bearing Lubricated With Couple Stress Fluid

2016

IJAERD

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“…1) Ωφ b δ radial clearance = R − r, θ the angular position along the oil film from line O b O j (see Fig. 1) θ 1 the rotating angle of gear θ 2 the rotating angle of pinion μ oil dynamic viscosity ε 0 X 2 0 + Y 2 0 β distribution angle of static pressure region (·), ( ) derivatives with respect to t and φ 1 Introduction HSFD (Hybrid Squeeze-Film Damper) has been well developed and applied in many fields. Squeeze-film damper bearings are actually a special type of journal bearing with its journal mechanically prevented from rotating but free to vibrate within the clearance space.…”

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confidence: 99%

Non-linear dynamic analysis of a HSFD mounted gear-bearing system

Chang‐Jian

2010

Nonlinear Dyn

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An investigation is carried out on the systematic analysis of the dynamic behavior of the hybrid squeeze-film damper (HSFD) mounted a gearbearing system with strongly non-linear oil-film force and gear meshing force in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless unbalance coefficient, damping coefficient and the dimensionless rotating speed ratio as control parameters. The non-dimensional equations of the gear-bearing system are solved using the fourth order Runge-Kutta method. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, bifurcation diagrams, maximum Lyapunov exponents and fractal dimension of the gear-bearing system. The results presented in this study provide some useful insights into the design and development of a gear-bearing system for rotating machinery that operates in highly rotating speed and highly non-linear regimes.

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The aperiodic behaviour of a rigid shaft in short journal bearings

Cited by 53 publications

References 4 publications

Chaos in the unbalance response of journal bearings

Chaos in the unbalance response of journal bearings

Bifuraction Analysis of Hydrodynamic Plain Journal Bearing Lubricated With Couple Stress Fluid

Non-linear dynamic analysis of a HSFD mounted gear-bearing system

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