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Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics
Sudden onset of violent chattering or whirling rotor–stator 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 partia...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society Publishing
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5014112/ https://www.ncbi.nlm.nih.gov/pubmed/27616927 http://dx.doi.org/10.1098/rspa.2016.0303 |
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author | Shaw, A. D. Champneys, A. R. Friswell, M. I. |
author_facet | Shaw, A. D. Champneys, A. R. Friswell, M. I. |
author_sort | Shaw, A. D. |
collection | PubMed |
description | Sudden onset of violent chattering or whirling rotor–stator 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 synchronization condition previously reported for a single disc system. The synchronization 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 damping is 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. |
format | Online Article Text |
id | pubmed-5014112 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | The Royal Society Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-50141122016-09-09 Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics Shaw, A. D. Champneys, A. R. Friswell, M. I. Proc Math Phys Eng Sci Research Articles Sudden onset of violent chattering or whirling rotor–stator 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 synchronization condition previously reported for a single disc system. The synchronization 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 damping is 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. The Royal Society Publishing 2016-08 /pmc/articles/PMC5014112/ /pubmed/27616927 http://dx.doi.org/10.1098/rspa.2016.0303 Text en © 2015 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Research Articles Shaw, A. D. Champneys, A. R. Friswell, M. I. Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title | Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title_full | Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title_fullStr | Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title_full_unstemmed | Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title_short | Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
title_sort | asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5014112/ https://www.ncbi.nlm.nih.gov/pubmed/27616927 http://dx.doi.org/10.1098/rspa.2016.0303 |
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