IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v179y2024ics0960077923013401.html
   My bibliography  Save this article

The restitution coefficient of a particle repeatedly bouncing off a rough surface

Author

Listed:
  • Abutuqayqah, H.
  • El hor, Hamid
  • Saleem, S.

Abstract

We present a geometric model to investigate the characteristics of the restitution coefficient of a particle–wall collisions process in the case of a structured wall surface. Specifically, we examine the case of a sinusoidal modulation of the roughness heights. We show that (i) The restitution coefficient performs fluctuations around the mean value which also is the value of the local restitution coefficient. These fluctuations are caused by the surface roughness and are due to the exchange of the kinetic energy between the motion in the vertical and horizontal degrees of freedom. (ii) Due to the energy exchange, the restitution coefficient may reach values larger than unity. (iii) The impact phase of the collision has a peculiar pattern, which is fractal-like for initial impact velocities less than 0.99 m/s and potentially chaotic for larger velocities.

Suggested Citation

  • Abutuqayqah, H. & El hor, Hamid & Saleem, S., 2024. "The restitution coefficient of a particle repeatedly bouncing off a rough surface," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013401
    DOI: 10.1016/j.chaos.2023.114438
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923013401
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114438?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. E. Falcon & C. Laroche & S. Fauve & C. Coste, 1998. "Behavior of one inelastic ball bouncing repeatedly off the ground," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 3(1), pages 45-57, May.
    2. El hor, Hamid & Linz, Stefan J., 2008. "Bounce of a particle: Oblique impact on structured surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 73-81.
    Full references (including those not matched with items on IDEAS)

    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. Dong, Jinlu & Fang, Jianhong & Pan, Jingwu & Hong, Guangyang & Li, Jian, 2022. "Dynamic model of vibrating plate coupled with a granule bed," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. El hor, Hamid & Linz, Stefan J., 2008. "Bounce of a particle: Oblique impact on structured surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 73-81.

    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:179:y:2024:i:c:s0960077923013401. 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.