relation: http://eprints.imtlucca.it/3120/ title: Optimal design of auxetic hexachiral metamaterials with local resonators creator: Bacigalupo, Andrea creator: Lepidi, Marco creator: Gnecco, Giorgio creator: Gambarotta, Luigi subject: QA75 Electronic computers. Computer science subject: T Technology (General) description: 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. publisher: arXiv date: 2015 type: Working Paper type: NonPeerReviewed format: application/pdf language: en rights: cc_by_nc identifier: http://eprints.imtlucca.it/3120/1/1510.04543.pdf identifier: Bacigalupo, Andrea and Lepidi, Marco and Gnecco, Giorgio and Gambarotta, Luigi Optimal design of auxetic hexachiral metamaterials with local resonators. Working Paper arXiv relation: http://arxiv.org/abs/1510.04543