Period doubling motion in vertically vibrated granular beds | Zendy

Zehui Jiang | Zendy; Xinying Liu | Zendy; Yajing Peng | Zendy; Jianwei Li | Zendy

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Period doubling motion in vertically vibrated granular beds

Author(s) -

Zehui Jiang,

Xinying Liu,

Yajing Peng,

Jianwei Li

Publication year - 2005

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.54.5692

Subject(s) - period doubling bifurcation , period (music) , bifurcation , mechanics , vibration , container (type theory) , ball (mathematics) , physics , materials science , nonlinear system , geometry , mathematics , composite material , acoustics , quantum mechanics

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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