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.
An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems
Contributed by the Structure and Dynamics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received by the S&D Division February 1998; final revision received by the ASME Headquarters October 2001. Technical Editor: M. Mignolet.
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Zu , J. W., and Ji, Z. (March 26, 2002). "An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems ." ASME. J. Eng. Gas Turbines Power. April 2002; 124(2): 303–310. https://doi.org/10.1115/1.1447235
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