Floquet-Bloch Waves in Periodic Networks of Rayleigh Beams: Cellular System, Dispersion Degenerations, and Structured Connection Regions

Cabras, L, Movchan, AB and Piccolroaz, A (2017) Floquet-Bloch Waves in Periodic Networks of Rayleigh Beams: Cellular System, Dispersion Degenerations, and Structured Connection Regions. MECHANICS OF SOLIDS, 52 (5). pp. 549-563.

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Official URL: http://dx.doi.org/10.3103/s0025654417050107

Abstract

The paper is dedicated to Professor N. F. Morozov on the occasion of his 85th birthday. In the paper, we consider new dispersive properties of elastic flexural waves in periodic structures with rotational inertia. The structure is represented as a lattice with elementary bonds of Rayleightype beams. Although such beams in the semiclassical regime react as the classical Euler–Bernoulli beams, they exhibit new interesting characteristics as the dispersion frequency of flexural waves increases. Special attention is paid to degenerate cases related to the so-called Dirac cones on dispersion surfaces and to the directed anisotropy for the doubly periodic lattice. A comparative analysis accompanied by numerical simulation is carried out for the Floquet–Bloch waves propagating in periodic flexible lattices of different geometry.

Item Type:	Article
Uncontrolled Keywords:	periodic networks of elastic Rayleigh beams, rotational inertia, dispersing Floquet-Bloch waves
Depositing User:	Symplectic Admin
Date Deposited:	11 Mar 2020 10:33
Last Modified:	18 Jan 2023 23:58
DOI:	10.3103/S0025654417050107
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078600