On the dispersion of Lamb waves in an elastic layer interacting with the ideal liquid half-space

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 1:29-37
Section: Mechanics
Language: Russian

The propagation of quasi-Lamb waves in the system «ideal compressible liquid half-space — elastic layer» is studied, by using the three-dimensional equations of classical elasticity theory for a solid body and linearized Euler equations for a fluid. The dispersion curves for normal waves over a wide range of frequencies are constructed. The influence of an ideal compressible fluid and the thickness of an elastic layer on the dispersion of phase velocities of the quasi-Lamb modes in a hydroelastic waveguide is analyzed. The localization properties of the lower quasi-Lamb modes in hydroelastic waveguides are studied. A criterion for the existence of the quasi-Lamb waves in hydroelastic waveguides is proposed. The numerical results obtained are presented in the form of plots and analyzed.

Keywords: dispersion of waves, elastic layer, half-space of an ideal compressible fluid, localization of quasi-Lamb modes
  1. Viktorov I. A. Sound surface waves in solids, Moscow: Nauka, 1981 (in Russian).
  2. Bezrukov A. V., Prikhod'ko V.Yu., Tyutekin V.V. Acoustic J., 1987, 33, No 5: 805—813 (in Russian).
  3. Bezrukov A. V. Acoustic J., 1989, 35, No 4: 744—747 (in Russian).
  4. Guz A. N., Zhuk A. P., Bagno A.M. Int. Appl. Mech., 2016, 52, No 5: 449—507. https://doi.org/10.1007/s10778-016-0770-6
  5. Guz A. N. Int. Appl. Mech., 1980, 16, No 3: 175—190.
  6. Guz A. N. Elastic waves in bodies with initial stresses. In 2 vol., Kiev: Naukova Dumka, 1986 (in Russian).
  7. Guz A. N. Elastic waves in bodies with initial (residual) stresses, Kiev: A.C.K., 2004 (in Russian).
  8. Guz A. N. Dynamics of compressible viscous fluid, Kiev: A.C.K., 1998 (in Russian).
  9. Guz A. N. Dynamics of compressible viscous fluid. Cambridge: Cambridge Scientific Publishers, 2009
  10. Guz A. N., Makhort F.G., Guscha O.I. Introduction in acoustoelasticity. Kiev: Naukova Dumka, 1977 (in Russian).
  11. Volkenstein M. M., Levin V. M. Acoustic J., 1988, 34, No 4: 608—615 (in Russian).