Coupled Axial–lateral–torsional Dynamics of a Rotor–bearing System Geared by Spur Bevel Gears

Li, M.; Hu, Haiyan; Jiang, Peilin; Yu, Lie

doi:10.1006/jsvi.2001.4016

Cited by 29 publications

(17 citation statements)

References 5 publications

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“…In this analysis, the major assumptions, such as neglecting the errors and deformations of gear teeth, are the same as in reference [8], so that the following relationship between two gears is also satisfied:…”

Section: Constraint Equationmentioning

confidence: 99%

“…In this paper, we continue to discuss the dynamics of the coupled axial-lateral-torsional vibration of the rotor-bearing system geared by spiral bevel gears based on the literature [8]. Firstly, the dynamic model is developed to suit the perpendicularly spiral bevel-geared rotor-bearing system, and then the mechanism of coupled vibrations of the system is analyzed in theory.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis of a Spiral Bevel-Geared Rotor-Bearing System

Li¹,

Hu²

2003

Journal of Sound and Vibration

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Section: Constraint Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Spiral Bevel-Geared Rotor-Bearing System

Li¹,

Hu²

2003

Journal of Sound and Vibration

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“…The kinetic energy of rotating shaft can be expressed as 17 T % where n is the total units, m i ði ¼ 1, 2, . .…”

Section: The Motion Equation Of the Rotor System Supported On Water-lmentioning

confidence: 99%

Dynamics of a rotor system coupled with water-lubricated rubber bearings

Shi

Zhu

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Dynamic behaviour is significantly important in the design of large rotor systems supported on water-lubricated rubber bearings. In this study, the mathematical model of elastohydrodynamic lubrication of the bearing is established based on the theory of hydrodynamic lubrication after considering the elastic deformation of rubber, and the dynamic characteristics of water-lubricated rubber bearings are analysed under small perturbation conditions according to the load increment method and the finite difference method. Next, the differential equation of rotor systems coupled with the water-lubricated rubber bearing is deduced using Lagrange's approach, and its critical speeds, stability, and unbalanced responses are analysed in detail. The numerical results show that several parameters, such as the eccentricity, lengthdiameter ratio, and clearance of bearing and the rotating speed of the rotor, have a great impact on the dynamic performance of water-lubricated rubber bearings, and this influence cannot be ignored, especially in the case of large eccentricity ratios. The dynamic characteristics of rotor systems guided by water-lubricated rubber bearings reveal that the critical speeds are much lower than the ones under the rigid supports because of the elastic deformation, and they also indicate that the rotor system supported on water-lubricated rubber bearings has a weaker stability. In addition, the steady-state responses of the rotor system are analysed when the mass unbalance of the propeller exists, and the effect of the thickness of the rubber liner is also considered.

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“…Ramamurti et al [3] used FEM and the so-called submatrices elimination scheme to study three-dimensional stress analysis of spur and bevel-gear teeth. Li et al [4,5] performed dynamic analysis of spur and spiral bevel-geared rotor-bearing system by means of linear vibration models with the effects of systematic parameters. Argyris et al [6] proposed a computerized method of local synthesis and simulation of meshing of spiral bevel-gears with pinion tooth surface generated by applying modified roll.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis for bevel-gear system under nonlinear suspension-bifurcation and chaos

Chang‐Jian

2011

Applied Mathematical Modelling

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a b s t r a c tThis study aims to analyze the dynamic behavior of bevel-geared rotor system supported on a thrust bearing and journal bearings under nonlinear suspension. The dynamic orbits of the system are observed using bifurcation diagrams plotted with both the dimensionless unbalance coefficient and the dimensionless rotational speed ratio as control parameters. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, Lyapunov exponents, and fractal dimensions of the gear-bearing system. The numerical results reveal that the system exhibits a diverse range of periodic, sub-harmonic, and chaotic behaviors. The results presented in this study provide an understanding of the operating conditions under which undesirable dynamic motion takes place in a gear-bearing system and therefore serves as a useful source of reference for engineers in designing and controlling such systems.

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Coupled Axial–lateral–torsional Dynamics of a Rotor–bearing System Geared by Spur Bevel Gears

Cited by 29 publications

References 5 publications

Dynamic Analysis of a Spiral Bevel-Geared Rotor-Bearing System

Dynamic Analysis of a Spiral Bevel-Geared Rotor-Bearing System

Dynamics of a rotor system coupled with water-lubricated rubber bearings

Nonlinear dynamic analysis for bevel-gear system under nonlinear suspension-bifurcation and chaos

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