On quasi–Lamb waves in the system "a layer of ideal fluid – a compressible elastic layer with initial stresses"

Authors

  • O. M. Bahno S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.03.038

Keywords:

compressible elastic layer, dispersion of waves, initial stresses, layer of ideal compressible fluid

Abstract

Basing on the three-dimensional linearized equations of the elasticity theory of finite deformations for a solid and the three-dimensional linearized Euler equations for an ideal compressible fluid, the dispersion curves of quasi–Lamb normal waves in a hydroelastic system are constructed in a wide range of frequencies. The effects of initial stresses in the pre–deformed compressible elastic layer and the fluid layer thickness on the phase velocities of the quasi-Lamb modes in a hydroelastic waveguide are analyzed. The numerical results are presented in the form of graphs, and their analysis is given.

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References

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Published

10.10.2024

How to Cite

Bahno, O. M. (2024). On quasi–Lamb waves in the system "a layer of ideal fluid – a compressible elastic layer with initial stresses" . Reports of the National Academy of Sciences of Ukraine, (3), 38–47. https://doi.org/10.15407/dopovidi2016.03.038