@inproceedings{68f4d19df8c048389ccf0ea54e37932e,
title = "Dynamical systems model and discrete element simulations of a tapped granular column",
abstract = "We present an approximate dynamical systems model for the mass center trajectory of a tapped column of N uniform, inelastic, spheres (diameter d), in which collisional energy loss is governed by the Walton-Braun linear loading-unloading soft interaction. Rigorous analysis of the model, akin to the equations for the motion of a single bouncing ball on a vibrating plate, reveals a parameter γ2aω2(1+e)/g that gauges the dynamical regimes and their transitions. In particular, we find bifurcations from periodic to chaotic dynamics that depend on frequency ω, amplitude a/d of the tap. Dynamics predicted by the model are also qualitatively observed in discrete element simulations carried out over a broad range of the tap parameters.",
keywords = "DEM simulations, Dynamical systems, tapped column",
author = "Rosato, {A. D.} and D. Blackmore and Tricoche, {X. M.} and K. Urban and L. Zuo",
year = "2013",
doi = "10.1063/1.4811931 ",
language = "English (US)",
isbn = "9780735411661",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
pages = "317--320",
booktitle = "Powders and Grains 2013 - Proceedings of the 7th International Conference on Micromechanics of Granular Media",
address = "United States",
note = "7th International Conference on Micromechanics of Granular Media: Powders and Grains 2013 ; Conference date: 08-07-2013 Through 12-07-2013",
}