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Author:

Zhang, Wei (Zhang, Wei.) | Zhan, Xue-Ping (Zhan, Xue-Ping.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Bai, Li-Lai (Bai, Li-Lai.)

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EI Scopus

Abstract:

In this paper, we investigate the Shilnikov type multi-pulse chaotic dynamics for a rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness. The stiffness in the AMB is considered as the time varying in a periodic form. The dimensionless equation of motion for the rotor-AMB system with the time-varying stiffness in the horizontal and vertical directions is a two-degree-of-freedom nonlinear system with quadratic and cubic nonlinearities and parametric excitation. The asymptotic perturbation method is used to obtain the averaged equations in the case of primary parametric resonance and 1/2 subharmonic resonance. It is found from the numerical results that there are the phenomena of the Shilnikov type multi-pulse chaotic motions for the rotor-AMB system. A new jumping phenomenon is discovered in the rotor-AMB system with the time-varying stiffness. Copyright © 2005 by ASME.

Keyword:

Control nonlinearities Asymptotic stability Perturbation techniques Stiffness Magnetic bearings Rotors

Author Community:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Zhan, Xue-Ping]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 3 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 4 ] [Bai, Li-Lai]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China

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Year: 2005

Volume: 1 C

Page: 2125-2134

Language: English

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 8

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