Pulse propagation in tapered granular chains: An analytic study

TL;DR

This paper presents an analytical study of pulse propagation in tapered granular chains, deriving pulse velocity and features using a binary collision approximation, which aligns well with numerical results.

Contribution

It introduces an analytic approach to model pulse dynamics in tapered granular chains, demonstrating the effectiveness of the binary collision approximation.

Findings

Binary collision approximation yields accurate pulse velocity predictions.

Analytic results closely match numerical simulations.

Provides insights into pulse behavior in tapered granular systems.

Abstract

We study pulse propagation in one-dimensional tapered chains of spherical granules. Analytic results for the pulse velocity and other pulse features are obtained using a binary collision approximation. Comparisons with numerical results show that the binary collision approximation provides quantitatively accurate analytic results for these chains.