Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials
Spectral Theory
2018-12-26 v1
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.
Keywords
Cite
@article{arxiv.1809.08071,
title = {Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials},
author = {I. V. Kamotski and V. P. Smyshlyaev},
journal= {arXiv preprint arXiv:1809.08071},
year = {2018}
}