Dynamics of vertically vibrated two-dimensional granular layers

A. Alexeev, V. Royzen, V. Dudko, A. Goldshtein, M. Shapiro*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Vibrational motion and dynamics of two-dimensional layers composed of identical inelastic solid disks are investigated experimentally and characterized in terms of the dimensionless acceleration. Several vibrational regimes with different degrees of vibrofluidization are studied by means of the layers’ videorecordings and tracking the motion of one larger disk immersed into each bed of smaller particles. It is shown that depending on the vibrational acceleration, the larger disk either ultimately rises on top of the layer or vigorously moves throughout it, thereby indicating possibilities for efficient mixing. In a certain narrow range of the vibrational acceleration the layer is observed to repack and move as a single block. This acceleration range is well described by the model of an absolutely plastic body moving above a vibrated plate. Small deviations from this acceleration range lead to a significant layer expansion and distortion of its upper surface due to transverse waves. The vibrofluidization regimes are also characterized by measuring the force acting on the vessel’s bottom and the time of its contact with the layer. The propagation speed of the compression-expansion waves is estimated and found consistent with the predictions of our earlier semiempirical and analytical models.

Original languageEnglish
Pages (from-to)3231-3241
Number of pages11
JournalPhysical Review E
Issue number3
StatePublished - 1999
Externally publishedYes


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