Frequency–amplitude behavior in the incipient movement of grains under vibration

VALENZUELA ARACENA, KARINA A.; BENITO, JESICA G.; OGER, LUC; IPPOLITO, IRENE; UÑAC, RODOLFO O.; VIDALES, ANA M.

PARTICUOLOGY

ELSEVIER SCIENCE INC

Año: 2018 vol. 40 p. 1 - 9

1674-2001

tThe onset of the movement of particles placed on a horizontal rough surface subject to a vertical sinusoidalvibration is investigated through tracking experiments, theoretical analysis, and numerical simulations.The frequency of vibration needed to move particles decays exponentially with the amplitude of the oscil-latory input. This behavior is explained through a simple mechanism in which a forced damped harmonicoscillator with a spring constant represents all the interactions between the particle and the surface. Thenumerical results compare well with experimental data, demonstrating that the forces included in thenumerical calculations suitably account for the main particle response, even though the complexity ofthe surface is not fully taken into account. Describing the way in which frequency varies with amplitudecould be relevant to technological applications such as cleaning of material surfaces.