NDLI: Analysis of Nonlinear Dynamics for a Rotor-Active Magnetic Bearing System With Time-Varying Stiffness: Part I

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Zhang, Wei Jean, W. Zu
Copyright Year	2003
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 autocontrolling 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.
Sponsorship	Design Engineering Division
Starting Page	631
Ending Page	640
Page Count	10
File Format	PDF
ISBN	0791837122
DOI	10.1115/IMECE2003-42213
Volume Number	Design Engineering, Volumes 1 and 2
Conference Proceedings	ASME 2003 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2003-11-15
Publisher Place	Washington, DC, USA
Access Restriction	Subscribed
Subject Keyword	Chaos Nonlinear dynamics Rotors Bifurcation Oscillations Magnetic bearings Steady state Transients (dynamics) Poles (building) Dynamics (mechanics) Stiffness Resonance Nonlinear systems
Content Type	Text
Resource Type	Article

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