Chiral flexural waves in structured plates: Directional localisation and control

Carta, G, Colquitt, DJ, Movchan, AB, Movchan, NV and Jones, IS (2020) Chiral flexural waves in structured plates: Directional localisation and control. Journal of the Mechanics and Physics of Solids, 137. ISSN 0022-5096

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Abstract

A new class of elastic waveforms, referred to as “chiral flexural waves”, is introduced for a multi-structure, which encompasses an elastic plate connected to a system of elastic flexural rods with gyroscopic spinners. The junction conditions describing the connection between the plate and the thin flexural rod require logarithmic asymptotics. The directional preference of the system is governed by the motion of gyroscopic spinners. For doubly-periodic chiral multi-structures studied here, parabolic modes associated with strong dynamic anisotropy of Bloch–Floquet waves are identified. Closed form analytical findings are accompanied by numerical simulations, which identify one-way flexural waves propagating along a straight interface in a flexural chiral system, without requiring the presence of Dirac cones on the dispersion surfaces. © 2020 Elsevier Ltd

Item Type:	Article
Uncontrolled Keywords:	01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Maritime and Mechanical Engineering (merged with Engineering 10 Aug 20)
Publisher:	Elsevier
Date of acceptance:	4 January 2020
Date of first compliant Open Access:	7 January 2021
Date Deposited:	18 Mar 2020 12:55
Last Modified:	04 Sep 2021 07:41
DOI or ID number:	10.1016/j.jmps.2020.103866
URI:	https://ljmu-9.eprints-hosting.org/id/eprint/12510

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