Open AccessPeriod doubling motion in vertically vibrated granular beds
Author(s) -
Jiang Ze-Hui,
Liu Xin-Ying,
Yajing Peng,
Jianwei Li
Publication year - 2005
Publication title -
wuli xuebao
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.