Platonic localisation: one ring to bind them

Carta G.
Penultimo
;
2019-01-01

Abstract

In this paper, we present an asymptotic model describing localised flexural vibrations along a structured ring containing point masses or spring–mass resonators in an elastic plate. The values for the required masses and stiffnesses of resonators are derived in a closed analytical form. It is shown that spring–mass resonators can be tuned to produce a “negative inertia” input, which is used to enhance localisation of waveforms around the structured ring. Theoretical findings are accompanied by numerical simulations, which show exponentially localised and leaky modes for different frequency regimes.
2019
2018
Inglese
89
3
521
533
13
https://link.springer.com/article/10.1007/s00419-018-1465-8
Esperti anonimi
internazionale
scientifica
Asymptotics; Flexural waves; Homogenisation; Localisation
Movchan, A. B.; Mcphedran, R. C.; Carta, G.; Craster, R. V.
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
4
open
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