An improved transfer matrix method for steady-state analysis of nonlinear rotor-bearing systems

J. W. Zu, Z. Ji

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

An improved transfer matrix method is developed to analyze nonlinear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A typical roller bearing model is assumed which has cubic nonlinear spring and linear damping characteristics. Transfer matrices for the Timoshenko shaft element, disk element, and nonlinear bearing element are derived and the global transfer matrix is formed. The steady-state response of synchronous, subharmonic, and superharmonic whirls is determined using the harmonic balance method. Two numerical examples are presented to demonstrate the effectiveness of this approach.

Original languageEnglish
Pages (from-to)303-310
Number of pages8
JournalJournal of Engineering for Gas Turbines and Power
Volume124
Issue number2
DOIs
StatePublished - Apr 2002

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