Research output: Contribution to journal › Article › peer-review
Low-frequency wave propagation in an elastic plate floating on a two-layered fluid. / Indejtsev, D. A.; Zhuchkova, M. G.; Kouzov, D. P.; Sorokin, S. V.
In: Wave Motion, Vol. 62, 01.04.2016, p. 98-113.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Low-frequency wave propagation in an elastic plate floating on a two-layered fluid
AU - Indejtsev, D. A.
AU - Zhuchkova, M. G.
AU - Kouzov, D. P.
AU - Sorokin, S. V.
N1 - Publisher Copyright: © 2016 Elsevier B.V. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - For some technical applications related to the ice-sea interaction, it is necessary to predict waveguide properties of elastic plates floating on a relatively thin layer of water, which has a non-uniform density distribution across its depth. The issue of particular concern is propagation of low-frequency waves in such a coupled waveguide. In the present paper, a stratified fluid is modelled as two homogeneous, inviscid and incompressible layers with slightly different densities. The lighter layer of fresh water lies on top of the heavier layer of salty water. The former one produces fluid loading at the pre-stressed plate, whereas the latter one is bounded by the sea bottom. The classical asymptotic methods are employed to identify significant regimes of wave motion in such a three-component waveguide. Dispersion diagrams obtained from approximate dispersion relations are compared with their exact counterparts. The phenomena of veering and generation of waves with zero group velocity induced by pre-stress are identified and quantified.
AB - For some technical applications related to the ice-sea interaction, it is necessary to predict waveguide properties of elastic plates floating on a relatively thin layer of water, which has a non-uniform density distribution across its depth. The issue of particular concern is propagation of low-frequency waves in such a coupled waveguide. In the present paper, a stratified fluid is modelled as two homogeneous, inviscid and incompressible layers with slightly different densities. The lighter layer of fresh water lies on top of the heavier layer of salty water. The former one produces fluid loading at the pre-stressed plate, whereas the latter one is bounded by the sea bottom. The classical asymptotic methods are employed to identify significant regimes of wave motion in such a three-component waveguide. Dispersion diagrams obtained from approximate dispersion relations are compared with their exact counterparts. The phenomena of veering and generation of waves with zero group velocity induced by pre-stress are identified and quantified.
KW - Asymptotic analysis
KW - Dispersion curves
KW - Fluid-loaded plate
KW - Static pre-stress
KW - Two-layered fluid
KW - Veering phenomenon
UR - http://www.scopus.com/inward/record.url?scp=84958673362&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2015.12.003
DO - 10.1016/j.wavemoti.2015.12.003
M3 - Article
AN - SCOPUS:84958673362
VL - 62
SP - 98
EP - 113
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
ER -
ID: 75070203