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- Title
Platonic localisation: one ring to bind them.
- Authors
Movchan, A. B.; McPhedran, R. C.; Carta, G.; Craster, R. V.
- 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.
- Subjects
RADIO transmitter fading; COMPUTER simulation; RESONATORS
- Publication
Archive of Applied Mechanics, 2019, Vol 89, Issue 3, p521
- ISSN
0939-1533
- Publication type
Article
- DOI
10.1007/s00419-018-1465-8