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Nonlinear stability analysis of rotor‐bearing systems
Author(s) -
Boyaci Aydin,
Seemann Wolfgang,
Proppe Carsten
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910113
Subject(s) - limit cycle , vibration , nonlinear system , rotor (electric) , bifurcation , critical speed , numerical continuation , bearing (navigation) , control theory (sociology) , turbocharger , helicopter rotor , amplitude , structural engineering , physics , mechanics , engineering , computer science , mechanical engineering , acoustics , gas compressor , control (management) , quantum mechanics , astronomy , artificial intelligence
High‐speed rotors supported by floating ring bearings exhibit beside self‐excited vibrations various nonlinear vibration effects, which may cause the damage of the rotor. After deriving the equations of motion of a perfectly balanced turbocharger rotor supported by floating ring bearings, bifurcation analyses are carried out with both rigid and flexible model by applying numerical continuation methods. Thereby, the main focus of the investigation is on the critical bifurcations emanating destructive limit‐cycle oscillations of higher amplitudes. Finally, the influence of the shaft elasticity on the critical limit‐cycle oscillations is discussed. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)