eprintid: 3786
rev_number: 8
eprint_status: archive
userid: 69
dir: disk0/00/00/37/86
datestamp: 2017-09-18 09:47:53
lastmod: 2017-09-18 09:49:02
status_changed: 2017-09-18 09:47:53
type: article
metadata_visibility: show
creators_name: Bacigalupo, Andrea
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
title: Damped Bloch Waves in Lattices Metamaterials with Inertial Resonators
ispublished: pub
subjects: TA
divisions: CSA
full_text_status: public
keywords: Lattice metamaterials; inertial resonators; viscoelasticity; dispersive waves; Lagrangian model; generalized micropolar model
note: Proceedings of the X International Conference on Structural Dynamics, EURODYN 2017, Rome 10-13 September, 2017
abstract: The present paper is focused on the acoustic behaviour of periodic beam-lattices metamaterials containing inertial viscoelastic resonators connected with elastic slender ligaments. A simplified model is considered where the ligaments are considered as massless and the viscoelastic resonators are contained inside rigid rings located at the lattice nodes. Firstly, a Lagrangian model is formulated in order to assess the influence of the dynamic and viscoelastic properties of the resonators on the acoustic behaviour. An equivalent generalized micropolar model is obtained through a continualization of the discrete model and the constitutive tensors and the equation of motion are formulated. The propagation of harmonic waves is assumed and the Christoffel equation for both the discrete and the continuum model are obtained. It is shown that the hermitian matrix governing the Christoffel equation of the Lagrangian model is approximated by the corresponding one from the micropolar model with an error O (|k|3)
date: 2017
date_type: published
publication: Procedia Engineering
volume: 199
publisher: Elsevier
pagerange: 1441-1446
id_number: doi:10.1016/j.proeng.2017.09.374
refereed: TRUE
issn: 1877-7058
official_url: http://doi.org/10.1016/j.proeng.2017.09.374
citation:   Bacigalupo, Andrea and Gambarotta, Luigi  Damped Bloch Waves in Lattices Metamaterials with Inertial Resonators.  Procedia Engineering, 199.  pp. 1441-1446.  ISSN 1877-7058      (2017)  
document_url: http://eprints.imtlucca.it/3786/1/1-s2.0-S187770581733864X-main.pdf