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arXiv · 1809.08071

Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials

I. V. Kamotski·V. P. Smyshlyaev
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Abstract

We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting components a high-contrast modification of the homogenization theory is capable of accounting for bandgaps, explicitly relating those to low resonant frequencies of the `soft' components. An explicit example of a square-periodic network of beams with a single isolated resonant beam within a periodicity cell is considered in detail.

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I. V. Kamotski, V. P. Smyshlyaev. 2018-08-29. Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. https://doi.org/10.1016/j.jmps.2018.08.024

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