Solitary wave trains in granular chains: experiments, theory and simulations
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Publication Details
Output type: Journal article
Author list: Job S, Melo F, Sokolow A, Sen S
Publisher: Springer
Publication year: 2007
Volume number: 10
Issue number: 1
Start page: 13
End page: 20
Number of pages: 8
ISSN: 1434-5021
eISSN: 1434-7636
Languages: English-Great Britain (EN-GB)
Unpaywall Data
Open access status: green
Full text URL: https://arxiv.org/pdf/0712.0006
Abstract
The features of solitary waves observed in horizontal monodisperse chain of barely touching beads not only depend on geometrical and material properties of the beads but also on the initial perturbation provided at the edge of the chain. An impact of a large striker on a monodisperse chain, and similarly a sharp decrease of bead radius in a stepped chain, generates a solitary wave train containing many single solitary waves ordered by decreasing amplitudes. We find, by simple analytical arguments, that the unloading of compression force at the chain edge has a nearly exponential decrease. The characteristic time is mainly a function involving the grains' masses and the striker mass. Numerical calculations and experiments corroborate these findings.
Keywords
one-dimensional granular chain, pulses train formation, solitary wave, stepped chain
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