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Dispersion of elastic waves in laminated glass

Kaplunov, J.; Prikazchikov, D.A.; Prikazchikova, L.A.

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Abstract

Elastic sandwich-type structures with high-contrast material and geometrical properties have numerous applications in modern engineering, including, in particular, laminated glass, photovoltaic panels, precipitator plates in gas filters, etc. Multi-parametric modelling of such structures assumes taking into consideration various types of contrast in stiffness, density and thickness. The present contribution is concerned with analysis of low-frequency dispersion of elastic waves in case of an antisymmetric motion of a three-layered symmetric plate, modelling laminated glass. The conditions on material and geometrical parameters, leading to the lowest non-zero thickness shear resonance frequency tending to zero, are formulated. In this case the dispersion relation possesses two low-frequency modes instead of a single fundamental low-frequency mode, which is typical for a homogeneous plate. A two-mode uniform asymptotic approximation is constructed, along with local approximations for the fundamental mode and the first shear harmonic.

Journal Article Type Article
Acceptance Date Sep 12, 2017
Publication Date Sep 12, 2017
Publicly Available Date Mar 29, 2024
Journal Procedia Engineering
Print ISSN 1877-7058
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 199
Pages 1489 -1494
DOI https://doi.org/10.1016/j.proeng.2017.09.428
Keywords Asymptotic, contrast, laminated glass, plate, wave
Publisher URL https://doi.org/10.1016/j.proeng.2017.09.428

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