eprintid: 3120
rev_number: 9
eprint_status: archive
userid: 69
dir: disk0/00/00/31/20
datestamp: 2016-02-26 12:22:53
lastmod: 2016-02-26 12:22:53
status_changed: 2016-02-26 12:22:53
type: monograph
metadata_visibility: no_search
creators_name: Bacigalupo, Andrea
creators_name: Lepidi, Marco
creators_name: Gnecco, Giorgio
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
creators_id: giorgio.gnecco@imtlucca.it
creators_id: 
title: Optimal design of auxetic hexachiral metamaterials with local resonators
ispublished: pub
subjects: QA75
subjects: T1
divisions: CSA
full_text_status: public
monograph_type: working_paper
abstract: A parametric beam lattice model is formulated to analyse the propagation properties of elastic in-plane waves in an auxetic material based on a hexachiral topology of the periodic cell, equipped with inertial local resonators. The Floquet-Bloch boundary conditions are imposed on a reduced order linear model in the only dynamically active degrees-offreedom. Since the resonators can be designed to open and shift band gaps, an optimal design, focused on the largest possible gap in the low-frequency range, is achieved by solving a maximization problem in the bounded space of the significant geometrical and mechanical parameters. A local optimized solution, for a the lowest pair of consecutive dispersion curves, is found by employing the globally convergent version of the Method of Moving asymptotes, combined with Monte Carlo and quasi-Monte Carlo multi-start techniques.
date: 2015
date_type: published
publisher: arXiv
pages: 41
institution: IMT Institute for Advanced Studies Lucca
official_url: http://arxiv.org/abs/1510.04543
citation:   Bacigalupo, Andrea and Lepidi, Marco and Gnecco, Giorgio and Gambarotta, Luigi  Optimal design of auxetic hexachiral metamaterials with local resonators.  Working Paper   arXiv         
document_url: http://eprints.imtlucca.it/3120/1/1510.04543.pdf