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Interfacial waveforms in chiral lattices with gyroscopic spinners

Garau, M, Carta, G, Nieves, MJ, Jones, IS, Movchan, NV and Movchan, AB (2018) Interfacial waveforms in chiral lattices with gyroscopic spinners. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2215). ISSN 1364-5021

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Abstract

We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail, and it is shown that one can manipulate the locations of stop-bands and Dirac points by tuning the parameters of the spinners. We show that, in the proximity of such points, uni-directional interfacial waveforms can be created in an inhomogeneous lattice and the direction of such waveforms can be controlled. The effect of inserting additional soft internal links into the system, which is thus transformed into a heterogeneous triangular lattice, is also investigated, as the hexagonal lattice represents the limit case of the heterogeneous triangular lattice with soft links. This work introduces a new perspective in the design of periodic media possessing non-trivial topological features.

Item Type: Article
Uncontrolled Keywords: 01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering
Subjects: T Technology > TP Chemical technology
Divisions: Maritime and Mechanical Engineering
Publisher: Royal Society, The
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Date Deposited: 15 Aug 2018 09:00
Last Modified: 20 Sep 2018 03:00
DOI or Identification number: 10.1098/rspa.2018.0132
URI: http://researchonline.ljmu.ac.uk/id/eprint/9095

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