
Resonance effects on the dynamics of dense granular beds: achieving optimal energy transfer in vibrated granular systems
Author(s) -
Kit WindowsYule,
Anthony Rosato,
Anthony Thornton,
D.J. Parker
Publication year - 2015
Publication title -
new journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.584
H-Index - 190
ISSN - 1367-2630
DOI - 10.1088/1367-2630/17/2/023015
Subject(s) - physics , acceleration , gravitational acceleration , mechanics , dynamics (music) , classical mechanics , energy transfer , energy (signal processing) , resonance (particle physics) , particle (ecology) , granular material , gravitation , base (topology) , space (punctuation) , statistical physics , acoustics , mathematical analysis , atomic physics , oceanography , mathematics , quantum mechanics , geology , linguistics , philosophy
Using a combination of experimental techniques and discrete particle method simulations, we investigate the resonant behaviour of a dense, vibrated granular system. We demonstrate that a bed of particles driven by a vibrating plate may exhibit marked differences in its internal energy dependent on the specific frequency at which it is driven, even if the energy corresponding to the oscillations driving the system is held constant and the acceleration provided by the base remains consistently significantly higher than the gravitational acceleration, g. We show that these differences in the efficiency of energy transfer to the granular system can be explained by the existence of resonances between the bed's bulk motion and that of the oscillating plate driving the system. We systematically study the dependency of the observed resonant behaviour on the system's main, controllable parameters and, based on the results obtained, propose a simple empirical model capable of determining, for a given system, the points in parameter space for which optimal energy transfer may be achieved