2013/07/04 by L. P. Machado, Luís Paulo Silveira Machado, Alexandre Rosas +4
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #Sports Dynamics and Biomechanics #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1307.1191
arxiv created 2013/07/04 · openalex publication_date 2013/07/04 · arxiv updated 2013/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study momentum and energy propagation in 1D tapered chains of spherical granules which interact according to a Hertz potential. In this work we apply the binary collision approximation, which is based on the assumption that transfer of energy along the chain occurs via a succession of two-particle collisions. Although the binary theory correctly captures the trends of increase or decrease of kinetic energy and momentum, the actual values of these quantities are not in good quantitative agreement with those obtained by numerically integrating the full equations of motion. To address this difficulty we have developed a mixed numerical/analytical correction algorithm to provide an improved estimate of the velocity of the particles during pulse propagation. With this corrected velocity we are in turn able to correctly predict the momentum and kinetic energy along the chain for several tapering configurations, specifically for forward linear, forward exponential, backward linear and backward exponential tapering.