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Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics / Alexander Shaw; A. R. Champneys; Michael Friswell

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Volume: 472, Issue: 2192, Start page: 20160303

Swansea University Authors: Alexander, Shaw, Michael, Friswell

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DOI (Published version): 10.1098/rspa.2016.0303

Abstract

Sudden onset of violent chattering or whirling rotorstator contact motion in rotational machines can cause significant damage in many industrial applications. It is shown that internal resonance can lead to the onset of bouncing-type partial contact motion away from primary resonances. These partial...

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Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
ISSN: 1364-5021 1471-2946
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa29380
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Abstract: Sudden onset of violent chattering or whirling rotorstator contact motion in rotational machines can cause significant damage in many industrial applications. It is shown that internal resonance can lead to the onset of bouncing-type partial contact motion away from primary resonances. These partial contact limit cycles can involve any two modes of an arbitrarily high degree-of-freedom system, and can be seen as an extension of a synchronisation condition previously reported for a single disc system. The synchronisation formula predicts multiple drivespeeds, corresponding to different forms of mode-locked bouncing orbits. These results are backed up by a brute-force bifurcation analysis which reveals numerical existence of the corresponding family of bouncing orbits at supercritical drivespeeds, provided the dampingis sufficiently low. The numerics reveal many overlapping families of solutions, which leads to significant multi-stability of the response at given drive speeds. Further secondary bifurcations can also occur within each family, altering the nature of the response, and ultimately leading to chaos. It is illustrated how stiffness and damping of the stator have a large effect on the number and nature of the partial contact solutions, illustrating the extreme sensitivity that would be observed in practice.
Keywords: rotordynamics, whirl, impact, nonlinear dynamics
Issue: 2192
Start Page: 20160303