Pulse propagation in tapered granular chains: An analytic study

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.

References in corpus (3)

• How Hertzian solitary waves interact with boundaries in a 1-D granular medium
• Solitary wave trains in granular chains: Experiments, theory and simulations
• Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains

Cited by in corpus (8)

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• Evolution of the Primary Pulse in 1D Granular Crystals Subject to On-Site Perturbations: Analytical Study
• Binary collision approximation for multi-decorated granular chains
• Universal Relations for Solitary Waves in Granular Crystals under Finite Rise-decay Duration Shocks