On the localization of quasi–Lamb waves in the layer of ideal fluid — elastic layer system

Authors

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

DOI:

https://doi.org/10.15407/dopovidi2016.02.038

Keywords:

dispersion of waves, elastic layer, layer of ideal compressible fluid, localization, quasi–Lamb modes

Abstract

Basing on the three–dimensional linear equations of the classical theory of elasticity for a solid and the linearized Euler equations for a fluid, the propagation of quasi–Lamb waves in the layer of ideal compressible fluid — elastic layer system is studied. For the normal waves, the dispersion curves are constructed in a wide range of frequencies. The effect of thickness of the fluid layer on the dispersion of phase velocities of quasi–Lamb modes in a hydroelastic waveguide is analyzed. The localization properties of the lower quasi–Lamb modes in elastic–fluid waveguides are studied.

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References

Viktorov I. A. Sound surface waves in solids, Moscow: Nauka, 1981 (in Russian).

Belyankova T. I., Kalinchuk V. V. Acoustic J., 2014, 60, No 5: 492–504 (in Russian).

Grinchenko V. T., Komissarova G. L. Acoustic bulletin, 2005, 8, No 4: 38–45 (in Russian).

Kuznetsov S. V. Acoustic J., 2014, 60, No 1: 90–100 (in Russian).

Bagno A. M., Guz A. N. Int. Appl. Mech., 1997, 33, No 6: 435–463. https://doi.org/10.1007/BF02700652

Guz A. N. Int. Appl. Mech., 1980, 16, No 3: 175–190.

Guz A. N. Elastic waves in bodies with initial stresses. In 2 vols., Kyiv: Nauk. Dumka, 1986 (in Russian).

Guz A. N. Elastic waves in bodies with initial (residual) stresses, Kyiv: A.C.K., 2004 (in Russian).

Guz A. N. Dynamics of compressible viscous fluid, Kyiv: A.C.K., 1998 (in Russian).

Guz A. N. Dynamics of compressible viscous fluid, Cambridge: Cambridge Scientific Publishers, 2009.

Volkenstein M. M., Levin V. M. Acoustic J., 1988, 34, No 4: 608–615 (in Russian).

Published

29.09.2024

How to Cite

Bahno, O. M. (2024). On the localization of quasi–Lamb waves in the layer of ideal fluid — elastic layer system . Reports of the National Academy of Sciences of Ukraine, (2), 38–46. https://doi.org/10.15407/dopovidi2016.02.038