IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v156y2022ics0960077922000686.html
   My bibliography  Save this article

Dynamic model of vibrating plate coupled with a granule bed

Author

Listed:
  • Dong, Jinlu
  • Fang, Jianhong
  • Pan, Jingwu
  • Hong, Guangyang
  • Li, Jian

Abstract

A dynamic model is proposed to study the nonlinear behavior of a granule-bed–vibrating-plate coupling system based on the theory of a completely inelastic bouncing ball. The process of interactions between the ball and plate is divided into three stages: synchronized motion, separation, and impact. The discrete-element method is used to obtain the form of the impact function inspired by the bird impact model, and the analytical solutions of the overall process are derived. Furthermore, parametric research is performed to demonstrate the influence on the motion of the plate of system parameters including the amplitude of the excitation force, particle mass, and damping. The calculation results indicate that the model can be used to analyze the coupling dynamic behaviors of particles and plates, and abundant nonlinear phenomena, such as period-doubling bifurcations, can be observed. The motion of the plate always shows chaos in particular frequency bands (the ratio of external excitation frequency to natural frequency was between 0.63 and 0.75 for the conditions in this study).

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000686
    DOI: 10.1016/j.chaos.2022.111857
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922000686
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111857?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. Kamdem, Christel D. Bansi & Tabi, Conrad B. & Mohamadou, Alidou, 2018. "Dissipative Mayer’s waves in fluid-filled viscoelastic tubes," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 170-183.
    2. Mátyás, L. & Barna, I.F., 2011. "Geometrical origin of chaoticity in the bouncing ball billiard," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1111-1116.
    3. Khan, Arif Ullah & Al-Zubaidi, A. & Munir, Shahid & Saleem, S. & Duraihem, Faisal Z., 2021. "Closed form solutions of cross flows of Casson fluid over a stretching surface," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    4. Hong Han & Zehui Jiang & Rui Zhang & Jing Lyu, 2013. "Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(12), pages 1-7, December.
    5. 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.
    6. Han, Hong & Jiang, Ze Hui & Zhang, Rui & Lyu, Jing, 2014. "The influence of air on period doubling motion in vertically vibrated grains beds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 265-275.
    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. Han, Hong & Jiang, Ze Hui & Zhang, Rui & Lyu, Jing, 2014. "The influence of air on period doubling motion in vertically vibrated grains beds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 265-275.
    2. 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).
    3. Chichigina, Olga A. & Valenti, Davide, 2021. "Strongly super-Poisson statistics replaced by a wide-pulse Poisson process: The billiard random generator," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    4. Khalil Ur Rehman & Wasfi Shatanawi & Andaç Batur Çolak, 2023. "Levenberg–Marquardt Training Technique Analysis of Thermally Radiative and Chemically Reactive Stagnation Point Flow of Non-Newtonian Fluid with Temperature Dependent Thermal Conductivity," Mathematics, MDPI, vol. 11(3), pages 1-27, February.
    5. Khalil Ur Rehman & Wasfi Shatanawi & Saba Yaseen, 2023. "A Comparative Numerical Study of Heat and Mass Transfer Individualities in Casson Stagnation Point Fluid Flow Past a Flat and Cylindrical Surfaces," Mathematics, MDPI, vol. 11(2), pages 1-21, January.

    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:156:y:2022:i:c:s0960077922000686. 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.