Quasi-analytical solutions for the whirling motion of multi-stepped rotors with arbitrarily distributed mass unbalance running in anisotropic linear bearings

Michael Klanner*, Marcel Simon Prem, Katrin Ellermann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Vibration in rotating machinery leads to a series of undesired effects, e.g. noise, reduced service life or even machine failure. Even though there are many sources of vibrations in a rotating machine, the most common one is a mass unbalance. Therefore, a detailed knowledge of the system behavior due to mass unbalance is crucial in the design phase of a rotor-bearing system. The modelling of the rotor
and mass unbalance as a lumped system is a widely used approach to calculate the whirling motion of a rotor-bearing system. A more accurate representation of the real system can be found by a continuous model, especially if the mass unbalance is not constant and arbitrarily oriented in space. Therefore, a quasi-analytical method called Numerical Assembly Technique is extended in this paper, which allows for an efficient and accurate simulation of the unbalance response of a rotor-bearing system. The rotor shaft is modelled by the Rayleigh beam theory including rotatory inertia and gyroscopic effects. Rigid discs can be mounted onto the rotor and the bearings are modeled by linear translational/rotational springs/dampers, including cross-coupling effects. The effect of a constant axial force or torque on the system response is also examined in the simulation.
Original languageEnglish
Article numbere138999
Number of pages9
JournalBulletin of the Polish Academy of Sciences: Technical Sciences
Volume69
Issue number6
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Numerical Assembly Technique
  • Quasi-analytical solution
  • Rotor dynamics
  • Unbalance response
  • Whirling motion

ASJC Scopus subject areas

  • Engineering(all)
  • Artificial Intelligence
  • Information Systems
  • Atomic and Molecular Physics, and Optics
  • Computer Networks and Communications

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