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Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness

Author

Listed:
  • Zhang, W.
  • Yao, M.H.
  • Zhan, X.P.

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.

Suggested Citation

  • Zhang, W. & Yao, M.H. & Zhan, X.P., 2006. "Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 175-186.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:1:p:175-186
    DOI: 10.1016/j.chaos.2005.04.003
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    Citations

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    Cited by:

    1. Zhang, Wei & Zu, Jean W., 2008. "Transient and steady nonlinear responses for a rotor-active magnetic bearings system with time-varying stiffness," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1152-1167.
    2. Inayat-Hussain, Jawaid I., 2009. "Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2664-2671.
    3. Jing Wang & Shaojuan Ma & Peng Hao & Hehui Yuan, 2019. "Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter," Complexity, Hindawi, vol. 2019, pages 1-12, December.
    4. Li, Tzuu-Hseng S. & Kuo, Chao-Lin & Guo, Nai Ren, 2007. "Design of an EP-based fuzzy sliding-mode control for a magnetic ball suspension system," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1523-1531.
    5. Cao, D.X. & Zhang, W., 2008. "Global bifurcations and chaotic dynamics for a string-beam coupled system," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 858-875.
    6. Li, J. & Tian, Y. & Zhang, W., 2009. "Investigation of relation between singular points and number of limit cycles for a rotor–AMBs system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1627-1640.

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