Low-Frequency Longitudinal Vibrations of a Fluid-Loaded Elastic Layer

Shamsi, Sheeru; Prikazchikova, Ludmila

Abstract

This paper concerns the low-frequency symmetric (extensional) motions of a thin elastic layer submerged in a fluid. This problem is less investigated than that for antisymmetric motion corresponding to bending vibrations, partly because the classical theory for thin-plate extension is not oriented to model the transverse compression of the plate caused by the pressure of the fluid. It is also worth noting that, in contrast to a fluid-borne bending wave, the extensional wave radiates into the fluid, resulting in complex-valued terms in the associated dispersion relation. In this paper, we derive a refined asymptotic formulation for symmetric motion starting from the 2D plane strain problem regarding fluid–structure interaction. The obtained results have the potential to be implemented for interpreting numerical and experimental data for a variety of modern engineering setups.

Citation

Shamsi, S., & Prikazchikova, L. (in press). Low-Frequency Longitudinal Vibrations of a Fluid-Loaded Elastic Layer. Symmetry, 17(1), 1-13. https://doi.org/10.3390/sym17010119

• Journal Article Type: Article
• Acceptance Date: Jan 10, 2025
• Online Publication Date: Jan 14, 2025
• Deposit Date: Jan 31, 2025
• Journal: Symmetry
• Electronic ISSN: 2073-8994
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 1
• Article Number: 119
• Pages: 1-13
• DOI: https://doi.org/10.3390/sym17010119
• Keywords: fluid–structure interaction, elastic layer, dispersion relation, symmetric motion, asymptotic analysis, refined plate models, extensional wave
• Public URL: https://keele-repository.worktribe.com/output/1051710