The effect of contact conditions on the performance of flexural seismic metasurfaces

Alzaidi, Ahmed S.M.; Kaplunov, Julius; Prikazchikova, Ludmila; Wootton, Peter; Nikonov, Anatolij

Abstract

<jats:title>Abstract</jats:title><jats:p>Plane-strain motion of a flexural seismic metasurface in the form of a regular array of thin Kirchhoff plates attached to the surface of an elastic half-space is analysed. Two types of contact conditions, including simply supported plates and plates moving along horizontal rails are studied. Dispersion of time harmonic waves is investigated both asymptotically and numerically. A major effect of the contact conditions on metasurface behaviour is discovered. In particular, it is shown that frequency band gaps are not the feature of the array composed of simply supported plates. It is also demonstrated that the scaling laws, expressed through geometric and material problem parameters, drastically differ from each other for two considered setups.</jats:p>

Citation

Alzaidi, A. S., Kaplunov, J., Prikazchikova, L., Wootton, P., & Nikonov, A. (2022). The effect of contact conditions on the performance of flexural seismic metasurfaces. Zeitschrift für angewandte Mathematik und Physik, 73, Article 194. https://doi.org/10.1007/s00033-022-01822-9

• Journal Article Type: Article
• Acceptance Date: Jul 6, 2022
• Publication Date: Oct 1, 2022
• Journal: Zeitschrift für angewandte Mathematik und Physik
• Print ISSN: 0044-2275
• Publisher: Birkhäuser Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 73
• Article Number: 194
• DOI: https://doi.org/10.1007/s00033-022-01822-9
• Publisher URL: https://link.springer.com/article/10.1007/s00033-022-01822-9