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Coupled Lateral and Torsional Nonlinear Transient Solver With Application to Flexible Rotor-Bearing System

[+] Author Affiliations
Jianming Cao

Candu Energy, Mississauga, ON, Canada

Tim Dimond

Rotor Bearing Solutions International, Charlottesville, VA

Paul Allaire

University of Virginia, Charlottesville, VA

Paper No. GT2014-25996, pp. V07AT31A016; 12 pages
doi:10.1115/GT2014-25996
From:
  • ASME Turbo Expo 2014: Turbine Technical Conference and Exposition
  • Volume 7A: Structures and Dynamics
  • Düsseldorf, Germany, June 16–20, 2014
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4576-9
  • Copyright © 2014 by ASME

abstract

This paper provides a time transient method for solving coupled lateral and torsional analysis of a flexible rotor-bearing system including gyroscopic effects, nonlinear short journal bearings, nonlinear short squeeze film dampers, and external nonlinear forces/torques. The rotor is modeled as linear, and the supporting components, including bearings and dampers, are modeled as nonlinear. An implicit Runge-Kutta method is developed to solve the nonlinear equations of motion with non-constant operating speed since the unbalance force and the gyroscopic effect are related to both the rotational speed and the acceleration. The developed method is compared with previous torsional analysis first to verify the nonlinear transient solver. Then the coupled lateral and torsional analysis of a flexible 3-disk rotor with nonlinear bearings and nonlinear dampers driven by a synchronous motor is approached. The acceleration effects on lateral and torsional amplitudes is presented in the analysis. The developed method can be used to study the rotor motion with non-constant rotational speed, such as during startup, shutdown, going through critical speeds, blade loss force, or other sudden loading.

Copyright © 2014 by ASME

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