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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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.
| 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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- Optimal design of auxetic hexachiral metamaterials with local resonators. (deposited 26 Feb 2016 12:22) [Currently Displayed]
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