TY  - RPRT
EP  - 41
ID  - eprints3120
M1  - working_paper
N2  - 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.
A1  - Bacigalupo, Andrea
A1  - Lepidi, Marco
A1  - Gnecco, Giorgio
A1  - Gambarotta, Luigi
PB  - arXiv
UR  - http://arxiv.org/abs/1510.04543
AV  - public
TI  - Optimal design of auxetic hexachiral metamaterials with local resonators
Y1  - 2015///
ER  -