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Optimal design of auxetic hexachiral metamaterials with local resonators

Bacigalupo, Andrea and Lepidi, Marco and Gnecco, Giorgio and Gambarotta, Luigi Optimal design of auxetic hexachiral metamaterials with local resonators. Working Paper arXiv

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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.

Item Type: Working Paper (Working Paper)
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > T Technology (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 26 Feb 2016 12:22
Last Modified: 26 Feb 2016 12:22
URI: http://eprints.imtlucca.it/id/eprint/3120

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