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http://dx.doi.org/10.12989/csm.2021.10.2.123

On the dispersion of waves propagating in "plate+fluid layer" systems  

Akbarov, Surkay D. (Department of Mechanical Engineering, Yildiz Technical University)
Negin, Masoud (Department of Civil Engineering, Bahcesehir University)
Publication Information
Coupled systems mechanics / v.10, no.2, 2021 , pp. 123-142 More about this Journal
Abstract
The paper deals with the study of the dispersion of quasi-Lamb waves in a hydro-elastic system consisting of an elastic plate, barotropic compressible inviscid fluid, and rigid wall. The motion of the plate is described using the exact equations of elastodynamics, however, the flow of the fluid using the linearized equations and relations of the Navier-Stokes equations. The corresponding dispersion equation is obtained and this equation is solved numerically, as a result of which the corresponding dispersion curves are constructed. The main attention is focused on the effect of the presence of the fluid and the effect of the fluid layer thickness (i.e., the fluid depth) on the dispersion curves. The influence of the problem parameters on the dispersion curves related to the quasi-Scholte wave is also considered. As a result of the analyses of the numerical results, concrete conclusions are made about the influence of the fluid depth, the rigid wall restriction on the fluid motion, and the material properties of the constituents on the dispersion curves. During the analyses, the zeroth and the first four modes of the propagating waves are considered.
Keywords
quasi-lamb waves; wave dispersion; quasi-Scholte waves; elastic layer; hydro-elastic system; compressible inviscid fluid;
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1 Moreno-Navarro, P., Ibrahimbegovic, A. and Perez-Aparicio, J.L. (2017), "Plasticity coupled with thermoelectric fields: Thermodynamics framework and finite element method computations", Comput. Meth. Appl. Mech. Eng., 315, 50-72. https://doi.org/10.1016/j.cma.2016.10.038.   DOI
2 Bagno, A.M. and Guz, A.N. (2016), "Effect of prestresses on the dispersion of waves in a system consisting of a viscous liquid layer and a compressible elastic layer", Int. Appl. Mech., 52(4), 333-341. https://doi.org/10.1007/s10778-018-0843-9.   DOI
3 Guz, A.N. (2009), Dynamics of Compressible Viscous Fluid, Cambridge Scientific Publishers, Cambridge, England.
4 Guz, A.N. and Bagno, A.M. (2019), "Propagation of quasi-lamb waves in an elastic layer interacting with a viscous liquid half-space", Int. Appl. Mech., 55(5), 459-469. https://doi.org/10.1007/s10778-019-00968-w.   DOI
5 Moreno-Navarro, P., Ibrahimbegovic, A. and Ospina, A. (2020), "Multi-field variational formulations and mixed finite element approximations for electrostatics and magnetostatics", Comput. Mech., 65(1), 41-59. https://doi.org/10.1007/s00466-019-01751-x.   DOI
6 Moreno-Navarro, P., Ibrahimbegovic, A. and Perez-Aparicio, J.L. (2018), "Linear elastic mechanical system interacting with coupled thermo-electro-magnetic fields", Coupl. Syst. Mech., 7, 5-25. https://doi.org/10.12989/csm.2018.7.1.005.   DOI
7 Viktrov, I.A. (1967), Rayleigh and Lamb Waves, Physical Theory and Applications, Acoustics Institute, Academy of Science of the USSR, Moscow, Russia.
8 Akbarov, S.D. and Ismailov, M.I. (2017), "The forced vibration of the system consisting of an elastic plate, compressible viscous fluid and rigid wall", J. Vib Control, 23(11), 1809-1827. https://doi.org/10.1177/1077546315601299.   DOI
9 Akbarov, S.D. and Ismailov, M.I. (2015), "Dynamics of the moving load acting on the hydro-elastic system consisting of the elastic plate, compressible viscous fluid and rigid wall", Comput. Mater. Contin., 45(2), 75-105.
10 Akbarov, S.D. and Ismailov, M.I. (2016), "Dynamics of the oscillating moving load acting on the hydroelastic system consisting of the elastic plate, compressible viscous fluid and rigid wall", Struct. Eng. Mech., 59(3), 403-430. http://doi.org/10.12989/sem.2016.59.3.403.   DOI
11 Bagno, A.M. (2016), "Wave propagation in an elastic layer interacting with a viscous liquid layer", Int. Appl. Mech., 52(2), 133-139. https://doi.org/10.1007/s10778-016-0740-z.   DOI
12 Akbarov, S.D. and Ismailov, M.I. (2018), "The influence of the rheological parameters of a hydro-viscoelastic system consisting of a viscoelastic plate, viscous fluid and rigid wall on the frequency response of this system", J. Vib. Control, 24(7), 1341-1363. https://doi.org/10.1177/1077546316660029.   DOI
13 Bagno, A.M. (1997), "Elastic waves in prestressed bodies interacting with a fluid (Survey)", Int. Appl. Mech., 33(6), 435-463. https://doi.org/10.1007/BF02700652.   DOI
14 Bagno, A.M. (2015), "The dispersion spectrum of a wave process in a system consisting of an ideal fluid layer and a compressible elastic layer", Int. Appl. Mech., 51(6), 648-653. https://doi.org/10.1007/s10778-015-0721-7   DOI
15 Bagno, A.M. (2017), "Dispersion properties of lamb waves in an elastic layer-ideal liquid half-space system", Int. Appl. Mech., 53(6), 609-616. https://doi.org/10.1007/s10778-018-0843-9.   DOI
16 Akbarov, S.D. and Huseynova, T.V. (2019), "Forced vibration of the hydro-elastic system consisting of the orthotropic plate, compressible viscous fluid and rigid wall", Coupl. Syst. Mech., 8(3), 199-218. http://doi.org/10.12989/csm.2019.8.3.199.   DOI
17 Akbarov, S.D. and Huseynova, T.V. (2020), "Fluid flow profile in the "orthotropic plate+compressible viscous fluid+rigid wall" system under the action of the moving load on the plate", Coupl. Syst. Mech., 9(3), 289-309. http://doi.org/10.12989/csm.2020.9.3.289.   DOI
18 Akbarov, S.D. (2018), "Forced vibration of the hydro-viscoelastic and-elastic systems consisting of the viscoelastic or elastic plate, compressible viscous fluid and rigid wall: A review", Appl. Math. Comput., 17(3), 221-245.
19 Akbarov, S.D. and Panakhli, P.G. (2017), "On the particularities of the forced vibration of the hydro-elastic system consisting of a moving elastic plate, compressible viscous fluid and rigid wall", Coupl. Syst. Mech., 6(3), 287-316. https://doi.org/10.12989/csm.2017.6.3.287.   DOI