IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v83y2016icp112-118.html
   My bibliography  Save this article

Analysis of grazing bifurcation from periodic motion to quasi-periodic motion in impact-damper systems

Author

Listed:
  • Wen, Guilin
  • Yin, Shan
  • Xu, Huidong
  • Zhang, Sijin
  • Lv, Zengyao

Abstract

A peculiar discontinuous bifurcation phenomenon that the periodic solution directly jumps to quasi-periodic attractor through grazing bifurcation is reported in this paper. This phenomenon is revealed in the impact damper system by the spectrum of the largest Lyapunov exponent in parameter plane. The origin of the quasi-periodic attractor and coexistence of solutions are analyzed. And the MDCM (multi-DOF cell mapping) method is used to reveal the variety of attraction basins of solutions.

Suggested Citation

  • Wen, Guilin & Yin, Shan & Xu, Huidong & Zhang, Sijin & Lv, Zengyao, 2016. "Analysis of grazing bifurcation from periodic motion to quasi-periodic motion in impact-damper systems," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 112-118.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:112-118
    DOI: 10.1016/j.chaos.2015.11.039
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791500404X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2015.11.039?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Qin, Weiyang & Su, Hao & Yang, Yongfeng, 2008. "Grazing bifurcation and chaos in response of rubbing rotor," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 166-174.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xing, Chengyue & Zhang, Zhengdi & Peng, Miao, 2022. "Bifurcation structures and bursting dynamics in a two degrees of freedom quasi-zero stiffness system with elastic constrain," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chao Fu & Dong Zhen & Yongfeng Yang & Fengshou Gu & Andrew Ball, 2019. "Effects of Bounded Uncertainties on the Dynamic Characteristics of an Overhung Rotor System with Rubbing Fault," Energies, MDPI, vol. 12(22), pages 1-15, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:112-118. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.