Journal
CHAOS SOLITONS & FRACTALS
Volume 39, Issue 1, Pages 188-195Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2007.01.115
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Funding
- Nature Science Foundation of China [10372079]
- Aeronautic Foundation of China [03C53016]
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This paper investigates the nonlinear response and bifurcation of rotor with Squeezed Film Damper (SFD) supported oil elastic foundation. The motion equations are derived. To analyze the bifurcation of nonlinear response of SFD rotor, the Floquet Multipliers is obtained by solving the perturbation equations with numerical method. For computing Floquet Multipliers, a novel method is presented in this paper, which can begin integration at the stable solution. Simulation results are given in two figures. One figure, which consists of eight subfigures, gives the effect of rotating speed on the response of SFD damper supported oil elastic foundation: with increasing rotating speed, the nonlinear response evolves from quasi-period to period, then jumps between different periods, and finally returns to quasi-period; the corresponding bifurcations are saddle-node bifurcation and secondary Hopf bifurcation. The second figure, which consists of six subfigures, shows that: the support stiffness has large influence oil the response of bearings and film force in SFD; large support stiffness can lead to oil whirl in SFD. (C) 2009 Published by Elsevier Ltd.
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