Movchan, AB, McPhedran, RC, Carta, G ORCID: 0000-0003-1325-8070 and Craster, RV
(2019)
Platonic Localisation: One Ring to Bind Them.
Archive of Applied Mechanics, 89 (3).
pp. 521-533.
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.
Item Type: | Article |
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Additional Information: | 15 pages, 9 figures |
Uncontrolled Keywords: | Flexural waves, Localisation, Asymptomatics, Homogenisation |
Depositing User: | Symplectic Admin |
Date Deposited: | 15 Jan 2019 11:09 |
Last Modified: | 19 Jan 2023 01:07 |
DOI: | 10.1007/s00419-018-1465-8 |
Open Access URL: | https://link.springer.com/content/pdf/10.1007/s004... |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3031051 |