Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients

Jun Jiang, Heinz Ulbrich

Research output: Contribution to journalArticlepeer-review

108 Scopus citations

Abstract

An analytical study is carried out on the stability of the full annular rub solutions of an externally excited, modified Jeffcott rotor with a given rotor/stator clearance and cross-coupling influences. The obtained analytical stability conditions provide an opportunity for a better understanding of the dynamical phenomena of rotor/stator systems with rubs, such as jump phenomena and the transition between periodic and quasi-periodic full rub responses as well as between the full annular rubs and the partial rubs. A systematic study on the influence of the system parameters on these phenomena is carried out. It is found that the simultaneous presence of the coefficient of friction and the cross-coupling stiffness coefficient with a proper value may benefit the dynamics of the rotor/stator system with rubs.

Original languageEnglish
Article number273464
Pages (from-to)269-283
Number of pages15
JournalNonlinear Dynamics
Volume24
Issue number3
DOIs
StatePublished - 2001
Externally publishedYes

Keywords

  • Bifurcation
  • Rotor instability
  • Rotor/stator rub
  • Stability analysis

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