Slepyan, Leonid 
ORCID: 0000-0002-0369-0735 and Movchan, Alexander B ORCID: 0000-0001-8902-9923
(2022)
An overview of elastic waveguides with dynamic sub-structures.
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 380 (2237).
20210381-.
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Abstract
The dynamic response of elastic waveguides is important for a wide range of applications that involve dispersive waves as well as wave localization. In particular, a case of special interest relates to waveguides subjected to moving loads. In the case where the elongated structure includes a sequence of built-in resonators, the range of resonance regimes may be extended accordingly. The present paper gives an overview of several mathematical formulations that connect Floquet theory to the dynamic response of multi-scale waveguides, which include inertial sub-structures subjected to external forces. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Floquet waves, dispersion, resonant wave, structured waveguide |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 11 Aug 2023 14:17 |
| Last Modified: | 11 Aug 2023 14:17 |
| DOI: | 10.1098/rsta.2021.0381 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3172182 |
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