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Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces

Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces
Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces
The nonlinear dynamic behavior of an asymmetric double-disc rotor-bearing system with interaction between rub-impact and oil-film forces is addressed in this paper. Using dynamics theory, the mathematical model of an asymmetric double-disc rotor-bearing system is established, considering nonlinear oil-film force and rub-impact force. The nonlinear oil-film force model is presented in Reynolds equation, and the rub-impact is assumed with a Hertz contact and a Coulomb friction. The dynamic equations with coupled rub-impact and oil-film forces are numerically solved using the Runge-Kutta method. Bifurcation diagrams, Poincaré maps, and three-dimension spectral plots are employed to analyze the dynamic behavior of the system. The sub-harmonic,multiple periodic, quasi-periodic and chaotic motions are observed in this study. A special phenomenon is occurring that the motion of system becomes simple and the oil-whirl is restrained or even removed with an increasing imbalance by magnifying the eccentricity.Another special phenomenon is also occurring that the oil-whirl gets diminished or even disappeared with increasing stator stiffness, but the oil-whip is uninfluenced. The discoveries will have a considerable value as diagnostic tools in settling oil-film instability. The numerical results show that the nonlinear dynamic behavior of the system varies with the rotational speed and model parameters.
rotor-bearing system, nonlinear dynamics, bifurcation, rub-impact, oil-film forces
0307-904X
4505-4523
Xiang, Ling
cfed6f15-f24a-4510-a881-bd62f7fa60cb
Hu, Aijun
a51ee121-02d4-44c5-922b-5722aeb9eab0
Hou, Lanlan
a757c3ce-e3a6-440e-8863-cb6b901c946f
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Xing, Jingtang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xiang, Ling
cfed6f15-f24a-4510-a881-bd62f7fa60cb
Hu, Aijun
a51ee121-02d4-44c5-922b-5722aeb9eab0
Hou, Lanlan
a757c3ce-e3a6-440e-8863-cb6b901c946f
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Xing, Jingtang
d4fe7ae0-2668-422a-8d89-9e66527835ce

Xiang, Ling, Hu, Aijun, Hou, Lanlan, Xiong, Yeping and Xing, Jingtang (2016) Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces. Applied Mathematical Modelling, 40 (7-8), 4505-4523. (doi:10.1016/j.apm.2015.11.028).

Record type: Article

Abstract

The nonlinear dynamic behavior of an asymmetric double-disc rotor-bearing system with interaction between rub-impact and oil-film forces is addressed in this paper. Using dynamics theory, the mathematical model of an asymmetric double-disc rotor-bearing system is established, considering nonlinear oil-film force and rub-impact force. The nonlinear oil-film force model is presented in Reynolds equation, and the rub-impact is assumed with a Hertz contact and a Coulomb friction. The dynamic equations with coupled rub-impact and oil-film forces are numerically solved using the Runge-Kutta method. Bifurcation diagrams, Poincaré maps, and three-dimension spectral plots are employed to analyze the dynamic behavior of the system. The sub-harmonic,multiple periodic, quasi-periodic and chaotic motions are observed in this study. A special phenomenon is occurring that the motion of system becomes simple and the oil-whirl is restrained or even removed with an increasing imbalance by magnifying the eccentricity.Another special phenomenon is also occurring that the oil-whirl gets diminished or even disappeared with increasing stator stiffness, but the oil-whip is uninfluenced. The discoveries will have a considerable value as diagnostic tools in settling oil-film instability. The numerical results show that the nonlinear dynamic behavior of the system varies with the rotational speed and model parameters.

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Accepted/In Press date: 9 November 2015
e-pub ahead of print date: 2 December 2015
Published date: April 2016
Keywords: rotor-bearing system, nonlinear dynamics, bifurcation, rub-impact, oil-film forces
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 384504
URI: http://eprints.soton.ac.uk/id/eprint/384504
ISSN: 0307-904X
PURE UUID: b325d86d-c93d-4b94-8fc9-cc15cd438230
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 29 Jan 2016 11:28
Last modified: 06 Aug 2020 01:34

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