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The influence of air on period doubling motion in vertically vibrated grains beds

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  • Han, Hong
  • Jiang, Ze Hui
  • Zhang, Rui
  • Lyu, Jing

Abstract

We investigated the effects of interstitial air on the impact bifurcations of period doubling motion in vertically vibrated grains beds. The impact of grains on the container bottom undergoes a series of subharmonic bifurcations as the vibration intensity increases. With the presence of air, the vibration acceleration of the bifurcation points caused by the air drag on grains increases as the size of grains decreases. Especially, for grains with sufficiently small diameters, higher-order bifurcations become unobservable. We also found that with the decrease of the grains size, the dependence of the bifurcation points on the size of grains and vibrating frequency becomes more obvious due to the air drag, and such a dependence disappears when a vacuumed or porous-bottomed container is used.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:403:y:2014:i:c:p:265-275
    DOI: 10.1016/j.physa.2014.02.045
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    References listed on IDEAS

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    1. Matthias E. Möbius & Benjamin E. Lauderdale & Sidney R. Nagel & Heinrich M. Jaeger, 2001. "Size separation of granular particles," Nature, Nature, vol. 414(6861), pages 270-270, November.
    2. Kim, Kipom & Pak, Hyuk Kyu, 2002. "Ordering dynamics of striped patterns in vertically vibrated granular layers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 181-186.
    3. Reyes, L.I. & Sánchez, I. & Gutiérrez, G., 2005. "Air-driven reverse buoyancy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 466-474.
    4. Giusepponi, S. & Marchesoni, F. & Borromeo, M., 2005. "Randomness in the bouncing ball dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 142-158.
    5. Elperin, T. & Golshtein, E., 1997. "Effects of convection and friction on size segregation in vibrated granular beds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 67-78.
    6. Metcalf, Thomas H. & Knight, James B. & Jaeger, Heinrich M., 1997. "Standing wave patterns in shallow beds of vibrated granular material," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 202-210.
    7. 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.
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    Cited by:

    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).

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    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).

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