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Type: Journal article
Title: Effective properties of acoustic metamaterial chains with low-frequency bandgaps controlled by the geometry of lightweight mass-link attachments
Author: Bennetts, L.
Peter, M.
Dylejko, P.
Skvortsov, A.
Citation: Journal of Sound and Vibration, 2019; 456:1-12
Publisher: Elsevier
Issue Date: 2019
ISSN: 0022-460X
Statement of
Luke G. Bennetts, Malte A. Peter, Paul Dylejko, Alex Skvortsov
Abstract: The effective mass of an acoustical metamaterial chain, which consists of a modified monatomic chain with a lightweight attached mass–link system, is derived and used to analyse its low-frequency vibration-isolation properties. The effective mass is expressed in terms of the resonant and anti-resonant frequencies of a basic element of the chain, and it is shown that the geometry of the attached system can be used to lower the resonant and anti-resonant frequencies, in turn lowering the bandgap of the chain, and producing efficient low-frequency vibration isolation with lightweight attached masses. In certain parameter limits, the chain is shown to degenerate to two previously proposed chains with contrasting band structures, and this provides insights into controlling the underlying vibration-isolation mechanisms. Numerical simulations are presented that illustrate the efficiency of the proposed system in terms of minimising transmission of a low-frequency incident wave packet with only two units of the attached system.
Keywords: Effective properties; Metamaterial chains; Low-frequency bandgaps
Description: Available online 17 May 2019
Rights: © 2019 Published by Elsevier Ltd.
DOI: 10.1016/j.jsv.2019.05.022
Appears in Collections:Aurora harvest 8
Mathematical Sciences publications

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