Abstract
We describe experiments and simulations to investigate the dynamics of a ball bouncing on a rough vibrating surface. Directly measuring the impulse due to each bounce we find that the frictional interaction with the surface is strongly enhanced near to the side wall. The enhanced dissipation arises as a consequence of the coupling between the collision, rotation and surface friction. This dissipation, which for our experimental conditions was estimated to be up to three times larger than the more obvious inelastic collision, can result in an enhanced probability density near boundaries and particle–particle spatial correlations. Our findings imply that the effective particle collision properties cannot be considered independently of the surface’s frictional properties.
Highlights
We describe experiments and simulations to investigate the dynamics of a ball bouncing on a rough vibrating surface
Some common mesoscopic descriptions of driven granular media assume that the interaction between the grains and the surface can be modelled by Gaussian noise[18] and a velocity dependent drag or frictional term[14,19]
We find that if rolling and surface friction are combined with a collision the frictional loss due to the surface is amplified
Summary
We describe experiments and simulations to investigate the dynamics of a ball bouncing on a rough vibrating surface. The equations of motion reflect the underlying assumption that the motion of particles can be separated into a spatially uniform term due to particle–surface interactions (noise and friction) and terms due to particle collisions (other particles and boundaries) Such an approximation can be justified as being the leading order terms in a Kramers–Moyal expansion[7] and is found to be adequate for describing dense granular gases[19]. We illustrate that this combination of elastic collision, particle rotation and surface friction may play a more influential role than the collisional losses due to inelasticity This effect could be an important consideration when comparing different experiments and simulations, and in developing mesoscopic models of granular media
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