Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials
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 relati...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
29.08.2018
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.1809.08071 |