Experimental study of embedded and non-embedded ordered granular chains under impulsive excitation

Avagyan, Arik; Chiao, David; Dostart, Nathan; Zhu, Kenny Q.; Cho, Shinhu; Remick, Kevin; Vakakis, Alexander F.; McFarland, D. Michael; Kriven, Waltraud M.

doi:10.1007/s00707-016-1564-y

Cited by 3 publications

(1 citation statement)

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“…In particular, it was demonstrated that the breathers in nonlinear lattices with Hertzian contact between the oscillators in the absence of pre-compression reveal themselves due to existence of parabolic on-site potentials [35]. These theoretical models are directly related to recent experiments on the pulse propagation in Hertzian chains mounted on elastic flexures [36] or embedded into a viscoelastic medium [37,38].…”

Section: Introductionmentioning

confidence: 70%

Breather arrest in a chain of damped oscillators with Hertzian contact

Strozzi

Gendelman

2021

Wave Motion

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Breather propagation in a damped oscillatory chain with Hertzian nearest-neighbour coupling is investigated. The breather propagation exhibits an unusual two-stage pattern. The first stage is characterized by power-law decay of the breather amplitude. This stage extends over finite number of the chain sites. Drastic drop of the breather amplitude towards the end of this finite fragment is referred to as breather arrest. At the second stage, the breather exhibits very small amplitudes with hyper-exponential decay. Numeric results are rationalized by considering a simplified model of two damped linear oscillators coupled by Hertzian contact forces. Initial excitation of one of these oscillators results in a finite number of beating cycles in the system. This simplified model reliably predicts main features of the breather arrest. More general coupling potentials and effect of pre-compression on the breather propagation are also discussed.

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