Dynamical systems model and discrete element simulations of a tapped granular column

Anthony Rosato, Denis Blackmore, X. M. Tricoche, K. Urban, L. Zuo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationPowders and Grains 2013 - Proceedings of the 7th International Conference on Micromechanics of Granular Media
Pages317-320
Number of pages4
DOIs
StatePublished - Aug 1 2013
Event7th International Conference on Micromechanics of Granular Media: Powders and Grains 2013 - Sydney, NSW, Australia
Duration: Jul 8 2013Jul 12 2013

Publication series

NameAIP Conference Proceedings
Volume1542
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other7th International Conference on Micromechanics of Granular Media: Powders and Grains 2013
CountryAustralia
CitySydney, NSW
Period7/8/137/12/13

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • DEM simulations
  • Dynamical systems
  • tapped column

Fingerprint Dive into the research topics of 'Dynamical systems model and discrete element simulations of a tapped granular column'. Together they form a unique fingerprint.

Cite this