Regular and chaotic dynamics of a discontinuously nonlinear rotor system

Evgueni V. Karpenko, Marian Wiercigroch, Matthew P. Cartmell

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

The nonlinear vibrations are considered in a two-degree of freedom rotordynamic system subjected to a bearing clearance effect. The excitation is provided by an out-of-balance within the system, and the nonlinearity, in the form of a discontinuous stiffness, is effected by means of a radial clearance between the elastically supported rotor and the elastically supported outer ring. Different nonlinear dynamics analysis techniques are employed to unveil the global dynamics of the rotor system. In particular the system has been investigated with the help of time trajectories, phase portraits, bifurcation diagrams, Poincaré maps, power spectrum analysis and the construction of basins of attraction. A numerical study is presented which encompasses the effects of different system parameters in order to demonstrate the severity of the vibrations. It is also shown that the response of the system can be extremely sensitive to changes in these parameters, and that chaos can exist over large regions of parameter space.
LanguageEnglish
Pages1231-1242
Number of pages12
JournalChaos, Solitons and Fractals
Volume13
Issue number6
DOIs
Publication statusPublished - 2002

Fingerprint

Chaotic Dynamics
Rotor
Clearance
Spectrum Analysis
Power Analysis
Nonlinear Vibration
Global Dynamics
Phase Portrait
Poincaré Map
Basin of Attraction
Bifurcation Diagram
Nonlinear Analysis
Power Spectrum
Dynamic Analysis
Nonlinear Dynamics
Parameter Space
Numerical Study
Stiffness
Chaos
Vibration

Keywords

  • nonlinear vibrations
  • rotordynamic systems

Cite this

Karpenko, Evgueni V. ; Wiercigroch, Marian ; Cartmell, Matthew P. / Regular and chaotic dynamics of a discontinuously nonlinear rotor system. In: Chaos, Solitons and Fractals. 2002 ; Vol. 13, No. 6. pp. 1231-1242.
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Regular and chaotic dynamics of a discontinuously nonlinear rotor system. / Karpenko, Evgueni V.; Wiercigroch, Marian; Cartmell, Matthew P.

In: Chaos, Solitons and Fractals, Vol. 13, No. 6, 2002, p. 1231-1242.

Research output: Contribution to journalArticle

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AB - The nonlinear vibrations are considered in a two-degree of freedom rotordynamic system subjected to a bearing clearance effect. The excitation is provided by an out-of-balance within the system, and the nonlinearity, in the form of a discontinuous stiffness, is effected by means of a radial clearance between the elastically supported rotor and the elastically supported outer ring. Different nonlinear dynamics analysis techniques are employed to unveil the global dynamics of the rotor system. In particular the system has been investigated with the help of time trajectories, phase portraits, bifurcation diagrams, Poincaré maps, power spectrum analysis and the construction of basins of attraction. A numerical study is presented which encompasses the effects of different system parameters in order to demonstrate the severity of the vibrations. It is also shown that the response of the system can be extremely sensitive to changes in these parameters, and that chaos can exist over large regions of parameter space.

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