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 | , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
29.08.2018
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| Subjects | |
| Online Access | Get full text |
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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. |
|---|---|
| AbstractList | 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. |
| Author | Kamotski, I. V Smyshlyaev, V. P |
| Author_xml | – sequence: 1 givenname: I. V surname: Kamotski fullname: Kamotski, I. V – sequence: 2 givenname: V. P surname: Smyshlyaev fullname: Smyshlyaev, V. P |
| BackLink | https://doi.org/10.1016/j.jmps.2018.08.024$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1809.08071$$DView paper in arXiv |
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| Snippet | We consider elastic waves in a two-dimensional periodic lattice network of
Timoshenko-type beams. We show that for general configurations involving
certain... |
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| SubjectTerms | Mathematics - Spectral Theory |
| Title | Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials |
| URI | https://arxiv.org/abs/1809.08071 |
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