IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v76y2015icp218-230.html
   My bibliography  Save this article

Stick motions and grazing flows in an inclined impact oscillator

Author

Listed:
  • Fu, Xilin
  • Zhang, Yanyan

Abstract

In this paper, the dynamics of an inclined impact oscillator under periodic excitation are investigated using the flow switchability theory of the discontinuous dynamical systems. Different domains and boundaries for such system are defined according to the impact discontinuity. Based on above domains and boundaries, the analytical conditions of the stick motions and grazing motions for the inclined impact oscillator are obtained mathematically, from which it can be seen that such oscillator has more complicated and rich dynamical behaviors. The numerical simulations are given to illustrate the analytical results of complex motions, and several period-1 motions period-2 motion and chaotic motion of the ball in the inclined impact oscillator are also presented. There are more theories about such impact pair to be discussed in future.

Suggested Citation

  • Fu, Xilin & Zhang, Yanyan, 2015. "Stick motions and grazing flows in an inclined impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 218-230.
    • Handle: RePEc:eee:chsofr:v:76:y:2015:i:c:p:218-230
    DOI: 10.1016/j.chaos.2015.04.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077915001162
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2015.04.005?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. Xiaohui Sun & Xilin Fu, 2014. "Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, April.
    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. Fan, Jinjun & Xue, Shan & Chen, Ge, 2018. "On discontinuous dynamics of a periodically forced double-belt friction oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 280-302.
    2. Fan, Jinjun & Yang, Zhaoxia, 2018. "Analysis of dynamical behaviors of a 2-DOF vibro-impact system with dry friction," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 176-201.

    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. Fan, Jinjun & Yang, Zhaoxia, 2018. "Analysis of dynamical behaviors of a 2-DOF vibro-impact system with dry friction," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 176-201.

    More about this item

    Statistics

    Access and download statistics

    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:76:y:2015:i:c:p:218-230. 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.