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| HAL: hal-00322891, version 1 |
| DOI: 10.1016/j.mechrescom.2008.05.002 |
| Detailed view |  Export this paper |
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| Mechanics Research Communications 35 (2008) 537-545 |
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| Multi-dimensional harmonic balance applied to rotor dynamics |
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Mikhail Guskov 1Jean-Jacques Sinou 1 |
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| (2008) |
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| The multi-frequency dynamical behavior is a feature of many technical systems. Multiple shaft rotating machinery, subject to simultaneous unbalances spinning at different speeds is a particular case of such systems. Common methods of steady state solution are not valid when the addressed systems have non-linear properties. This study presents a generalized version of harmonic balance coupled with arc-length continuation, developed in order to study non-linear responses of modified Jeffcott rotor system subject to multiple unbalances. Numerically, the non-linear terms are taken into account via an AFT (alternating frequency- time domain) procedure, involving multi-dimensional FFT. An improvement to the AFT approach is proposed. The example addressed in this paper is a modified Jeffcott rotor with piece-wise radial stiffness. |
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| 1: | Laboratoire de Tribologie et Dynamique des Systèmes (LTDS) |
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CNRS : UMR5513 – Ecole Centrale de Lyon – Ecole Nationale d'Ingénieurs de Saint Etienne |
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| Subject | : | Engineering Sciences/Mechanics Engineering Sciences/Mechanics/Vibrations Physics/Mechanics/Vibrations Engineering Sciences/Mechanics/Mechanics of the structures Physics/Mechanics/Mechanics of the structures Mathematics/Dynamical Systems |
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| Nonlinear – Dynamic – Rotor |
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| hal-00322891, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00322891 | |
| oai:hal.archives-ouvertes.fr:hal-00322891 | |
| From: Jean-Jacques Sinou | |
| Submitted on: Wednesday, 26 September 2012 10:58:55 | |
| Updated on: Saturday, 17 November 2012 20:19:57 | |
