STUDY ON NONLINEAR DYNAMIC BEHAVIOURS AND STABILITY OF A FLEXIBLE ROTOR SYSTEM WITH HYDRODYNAMIC SLIDING BEARING SUPPORTS

  • Yanjun Lu
  • Yongfang Zhang
  • Heng Liu
  • Lie Yu
  • Dexin Li
  • Lijun Jiang
Conference paper

Abstract

This paper investigates the nonlinear dynamic behaviours of a flexible rotor system with elliptical bearing supports. Based on the variational constraint approach, nonlinear oil film forces and their Jacobians are calculated simultaneously. According to the local nonlinearity of the flexible rotor system, a modal reduction technique based on a free-interface component mode synthesis technique is utilized to reduce linear degrees-of-freedom of the system. Nonlinear unbalance periodic responses of the system are obtained by using PNF (Poincaré-Newton-Floquet) method and the bifurcation point of system can be calculated by using the combination of the predictor–corrector mechanism and the PNF method. The local stability and bifurcation behaviours of periodic motions are analysed by the Floquet theory. The numerical examples show that the schemes of this study not only save computing efforts but also have good precision.

Keywords

Acoustics 

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Copyright information

© Springer 2006

Authors and Affiliations

  • Yanjun Lu
    • 1
  • Yongfang Zhang
    • 2
  • Heng Liu
    • 1
  • Lie Yu
    • 1
  • Dexin Li
    • 3
  • Lijun Jiang
    • 4
  1. 1.Theory of Lubrication and Bearing InstituteXi’an Jiaotong UniversityP. R. China
  2. 2.School of Electronic and InformationNorthwest Polytechnical UniversityP. R. China
  3. 3.School of Machinery and Precision Instrument EngineeringXi’an University of TechnologyP. R. China
  4. 4.Institute for Infocomm ResearchSingaporeSingapore

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