Nonlinear Dynamics of Flexible Rotors Supported on Journal Bearings - Part 1: Analytical Bearing Model

[+] Author and Article Information
Mohammad Miraskari

Mechanical Engineering Department, University of British Columbia, 2054-6250 Applied Science Lane, Vancouver, BC, V6T 1Z4, Canada

Farzad Hemmati

Mechanical Engineering Department, University of British Columbia

Mohamed S. Gadala

Mechanical Engineering Department, University of British Columbia, and Abu Dhabi University, Abu Dhabi, UAE

1Corresponding author.

ASME doi:10.1115/1.4037730 History: Received November 25, 2016; Revised August 14, 2017


To determine the bifurcation types in a rotor-bearing system, it is required to find higher order derivatives of the bearing forces with respect to journal velocity and position. As closed-form expressions for journal bearing force is not generally available, Hopf bifurcation studies of rotor-bearing systems have been limited to simple geometries and cavitation models. To solve this problem, an alternative nonlinear coefficient-based method for representing the bearing force is presented in this study. A flexible rotor-bearing system is presented for which bearing force is modeled with linear and nonlinear dynamic coefficients. The proposed nonlinear coefficient-based model was found to be successful in predicting the bifurcation types of the system as well as predicting the system dynamics and trajectories at spin speeds below and above the threshold speed of instability.

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