eprintid: 3171
rev_number: 9
eprint_status: archive
userid: 69
dir: disk0/00/00/31/71
datestamp: 2016-03-01 10:49:55
lastmod: 2017-03-21 10:39:00
status_changed: 2016-03-01 10:49:55
type: monograph
metadata_visibility: no_search
creators_name: Bacigalupo, Andrea
creators_name: Gnecco, Giorgio
creators_name: Lepidi, Marco
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: giorgio.gnecco@imtlucca.it
creators_id: 
creators_id: 
title: Design of acoustic metamaterials through nonlinear programming
ispublished: submitted
subjects: QA75
divisions: CSA
full_text_status: public
monograph_type: working_paper
abstract: The dispersive wave propagation in a periodic metamaterial with tetrachiral topology and inertial local resonators is investigated. The Floquet-Bloch spectrum of the metamaterial is compared with that of the tetrachiral beam lattice material without resonators. The resonators can be designed to open and shift frequency band gaps, that is, spectrum intervals in which harmonic waves do not propagate. Therefore, an optimal passive control of the frequency band structure can be pursued in the metamaterial. To this aim, a suitable constrained nonlinear optimization problem on a compact set of admissible geometrical and mechanical parameters is stated. According to functional requirements, the particular set of parameters which determines the largest low-frequency band gap between a pair of consecutive branches of the Floquet-Bloch spectrum is obtained. The optimization problem is successfully solved by means of a version of the method of moving asymptotes, combined with a quasi-Monte Carlo multi-start technique.
Subjects:	Materials Science (cond-mat.mtrl-sci)
Cite as:	arXiv:1603.07717 [cond-mat.mtrl-sci]
 	(or arXiv:1603.07717v2 [cond-mat.mtrl-sci] for this version)
date: 2016
date_type: published
publisher: arXiv
pages: 12
id_number: arXiv:1603.07717
institution: IMT Institute for Advanced Studies Lucca
official_url: https://arxiv.org/abs/1603.07717
citation:   Bacigalupo, Andrea and Gnecco, Giorgio and Lepidi, Marco and Gambarotta, Luigi  Design of acoustic metamaterials through nonlinear programming.  Working Paper   arXiv       (Submitted)   
document_url: http://eprints.imtlucca.it/3171/1/1603.07717.pdf