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Period doubling motion in vertically vibrated granular beds

Jiang Ze-Hui Liu Xin-Ying Peng Ya-Jing Li Jian-Wei

Period doubling motion in vertically vibrated granular beds

Jiang Ze-Hui, Liu Xin-Ying, Peng Ya-Jing, Li Jian-Wei
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  • Abstract views:  4487
  • PDF Downloads:  1445
  • Cited By: 0
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  • Received Date:  04 March 2005
  • Accepted Date:  10 June 2005
  • Published Online:  20 December 2005

Period doubling motion in vertically vibrated granular beds

  • 1. 哈尔滨工业大学物理系,哈尔滨 150001

Abstract: Experiments are performed to investigate the impact interaction between granular bed and container bottom, where the container is vertically vibrated. It is observed that the impact strength, controlled by the normalized vibration acceleration, undergoes a series of period doubling bifurcations, typically in the sequence of period-doubling, period-quadrupling, chaos, period-tripling, period-sextupling, chaos, period-quadrupling, period-octupling, and chaos. A condensed state of particles at the bottom of the container is observed, in which the particles are densely compacted and move as a bulk block in the vertical direction. Based on a completely inelastic bouncing ball model, a possible explanation for the bifurcation phenomena is presented.

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