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Mathematical Problems in Engineering
Volume 2009, Article ID 345947, 11 pages
Research Article

Simulation of Inhomogeneous Columns of Beads under Vertical Vibration

Computing and Applied Mathematics Laboratory, Associated Plasma Laboratory, National Institute for Space Research, 12227-010 São José dos Campos, SP, Brazil

Received 27 November 2008; Revised 21 January 2009; Accepted 9 February 2009

Academic Editor: Edson Denis Leonel

Copyright © 2009 Marcus V. Carneiro et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present results from computational experiments of one-dimensional inhomogeneous granular column. With characteristic properties lying between those of liquids and solids, this class of material consists of assemblies of solid particles which interact via mechanical forces (contact and friction) and are maintained together by a gravitational field. The system is composed of a vertical column of spherical beads driven by a sinusoidally vibrating plate. Results for 10 bead experiments show the fluidization and condensation phenomena, both dependent on the amplitude and frequency of the driving plate. Some scaling properties arising from the dynamics of the beads are also shown.