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Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates

Prikazchikova, Ludmila; Rege, Ameya; Kaplunov, Julius; Prikazchikov, Danila

Authors

Ameya Rege



Abstract

The paper aims at studying dispersion of elastic waves in a sandwich plate with the parameters, characteristic of aerogel core and hard skin layers, typical for aerospace applications including optimal design of fuselage structural components. The proposed approach relies on multiparametric analysis, taking into account the effect of strong transverse inhomogeneity. It is demonstrated that both an additional low-frequency propagating wave and a slowly decaying evanescent one appear due to a high contrast in geometric and mechanical parameters of the layers. The key findings include the derivation of two-mode asymptotic expansions of the full dispersion relation at the low-frequency limit, as well as elucidation of the non-trivial link between long-wave evanescent and propagating modes. A sophisticated composite nature of the obtained expansions involving various shortened forms is investigated. The range of validity for each of these forms over frequency and wave-number domains is evaluated. Comparison of asymptotic results with the numerical solution of the full dispersion relation is presented.

Citation

Prikazchikova, L., Rege, A., Kaplunov, J., & Prikazchikov, D. (2024). Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates. Zeitschrift für angewandte Mathematik und Physik, 75, 1-14. https://doi.org/10.1007/s00033-024-02347-z

Journal Article Type Article
Acceptance Date Oct 2, 2024
Online Publication Date Oct 26, 2024
Publication Date Oct 26, 2024
Deposit Date Nov 14, 2024
Publicly Available Date Nov 14, 2024
Journal Zeitschrift für angewandte Mathematik und Physik
Print ISSN 0044-2275
Electronic ISSN 1420-9039
Publisher Birkhäuser Verlag
Peer Reviewed Peer Reviewed
Volume 75
Article Number 211
Pages 1-14
DOI https://doi.org/10.1007/s00033-024-02347-z
Keywords sandwich, aerogel, long-wave, low-frequency, evanescent, cut-off, propagating, dispersion, high-contrast
Public URL https://keele-repository.worktribe.com/output/971996

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Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates (440 Kb)
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Licence
https://creativecommons.org/licenses/by/4.0/

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https://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.






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