An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems

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...

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Veröffentlicht in:Journal of engineering for gas turbines and power 2002-04, Vol.124 (2), p.303-310
Hauptverfasser: Zu, J. W., Ji, Z.
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description 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.
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source ASME Transactions Journals (Current)
subjects Applied sciences
Drives
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mechanical engineering. Machine design
Physics
Shafts, couplings, clutches, brakes
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
title An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems
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