Optimal design of auxetic hexachiral metamaterials with local resonators
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.
Keywords
Cite
@article{arxiv.1510.04543,
title = {Optimal design of auxetic hexachiral metamaterials with local resonators},
author = {Andrea Bacigalupo and Marco Lepidi and Giorgio Gnecco and Luigi Gambarotta},
journal= {arXiv preprint arXiv:1510.04543},
year = {2016}
}