Analysis of nonlinear dynamics for a rotor-active magnetic bearing system with time-varying stiffness, Part I. Formulation and local bifurcations

Wei Zhang, Jean W. Zu

Research output: Contribution to journalConference articlepeer-review

20 Scopus citations

Abstract

In this two-part paper, we investigate nonlinear dynamics in the rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness. The model of parametrically excited two-degree-of- freedom nonlinear system with the quadratic and cubic nonlinearities is established to explore the periodic and quasiperiodic motions as well as the bifurcations and chaotic dynamics of the system. The method of multiple scales is used to obtain the averaged equations in the case of primary parameter resonance and 1/2 subharmonic resonance. In Part I of the companion paper, numerical approach is applied to the averaged equations to find the periodic, quasiperiodic solutions and local bifurcations. It is found that there exist 2-period, 3-period, 4-period, 5-period, multi-period and quasiperiodic solutions in the rotor-AMB system with 8-pole legs and the time-varying stiffness. The catastrophic phenomena for the amplitude of nonlinear oscillations are first observed in the rotor-AMB system with 8-pole legs and the time-varying stiffness. The procedures of motion from the transient state chaotic motion to the steady state periodic and quasiperiodic motions are also found. The results obtained here show that there exists the ability of auto-controlling transient state chaos to the steady state periodic and quasiperiodic motions in the rotor-AMB system with 8-pole legs and the time-varying stiffness.

Original languageEnglish
Pages (from-to)631-640
Number of pages10
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume116
Issue number2
DOIs
StatePublished - 2003
Event2003 ASME International Mechanical Engineering Congress - Washington, DC, United States
Duration: 15 Nov 200321 Nov 2003

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