Nonlinear resonances and energy transfer in finite granular chains

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Joseph LydonChiara Daraio

Abstract

In the present work we test experimentally and compute numerically the stability and dynamics of harmonically driven monoatomic granular chains composed of an increasing number of particles N(N=1-50). In particular, we investigate the inherent effects of dissipation and finite size on the evolution of bifurcation instabilities in the statically compressed case. The findings of the study suggest that the nonlinear bifurcation phenomena, which arise due to finite size, can be useful for efficient energy transfer away from the drive frequency in transmitted waves.

References

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Citations

Jun 3, 2016·Chaos·Frank T NdjomatchouaHenri E Z Tonnang
Sep 7, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·C ChongC Daraio
Nov 5, 2017·Nature Communications·Xin FangDianlong Yu
Feb 13, 2016·Physical Review. E·Francisco SantibanezFrancisco Melo
Jul 25, 2018·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·K VorotnikovY Starosvetsky
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D PozharskiyI G Kevrekidis
Jan 23, 2020·Physical Review. E·Qicheng ZhangRodolfo Venegas
Aug 15, 2015·Physical Review Letters·J CabaretV Tournat
Jan 1, 2021·Chaos·Michael Mekontchou FoudjioClément Tchawoua
May 20, 2021·Physical Review. E·Luís Paulo Silveira Machado, Surajit Sen

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