Dispersion of elastic waves in laminated glass

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

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.

Citation

Kaplunov, J., Prikazchikov, D., & Prikazchikova, L. (2017). Dispersion of elastic waves in laminated glass. Procedia Engineering, 199, 1489 -1494. https://doi.org/10.1016/j.proeng.2017.09.428

• Journal Article Type: Article
• Acceptance Date: Sep 12, 2017
• Publication Date: Sep 12, 2017
• 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