Volume 74, Number 3, May 2006
|Page(s)||417 - 423|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||29 March 2006|
Subharmonic motion of granular particles under vertical vibrations
Physics Department, Harbin Institute of Technology - Harbin 150001, PRC
Corresponding author: email@example.com
Accepted: 3 March 2006
We investigate the impact of granular particles at the bottom of the container, which is vibrating harmonically in the vertical direction. Experiments demonstrate that the impact strength, controlled by the normalized vibration acceleration, undergoes a series of subharmonic bifurcations, in the sequence of period-doubling, period-quadrupling, chaos, period-tripling, period-sextupling, chaos, period-quadrupling, period-octupling, and so on. It is observed that accompanying the impact bifurcations there always exists a condensed state of particles at the lower part of the bed. By using the completely inelastic bouncing-ball model, a possible explanation for the observed bifurcation phenomena is presented.
PACS: 45.70.-n – Granular systems / 05.70.Jk – Critical point phenomena / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 2006
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