Research output: Contribution to journal › Conference article › peer-review
Wave localization in hydroelastic systems. / Abramian, A. K.; Indejtsev, D. A.; Vakulenko, S. A.
In: Flow, Turbulence and Combustion, Vol. 61, No. 1, 1998, p. 1-20.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - Wave localization in hydroelastic systems
AU - Abramian, A. K.
AU - Indejtsev, D. A.
AU - Vakulenko, S. A.
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1998
Y1 - 1998
N2 - The phenomenon of wave localization in hydroelastic systems leads to the strength concentration of radiation fields. The linear method considers the process of localization to be the formation of nonpropagation waves (trapped modes phenomenon). The presence of such waves in the total wave packet points to the existence of mixed natural spectrum of differential operators describing the behaviour of hydroelastic systems. The problem of liquid and oscillating structure interaction caused by the trapped modes phenomenon has been solved (membranes, dies). The interaction of the liquid and elastic structures with inclusions can lead to localized mode formation. In the case of solitary wave motion in nonlinear elastic media, contacting with the liquid, these solitons can be interpreted as `moving inclusions'. The analytical solution for solitary waves has been found. If the soliton speed v0 is more than the velocity of sound c0 in the liquid, the solitary waves strongly slow down. If c0 is close to v0, then a resonance can be observed and solitons move without any resistance. If the soliton speed is less than c0, the solitary wave slow-down is negligible, compared to the case v0>c0.
AB - The phenomenon of wave localization in hydroelastic systems leads to the strength concentration of radiation fields. The linear method considers the process of localization to be the formation of nonpropagation waves (trapped modes phenomenon). The presence of such waves in the total wave packet points to the existence of mixed natural spectrum of differential operators describing the behaviour of hydroelastic systems. The problem of liquid and oscillating structure interaction caused by the trapped modes phenomenon has been solved (membranes, dies). The interaction of the liquid and elastic structures with inclusions can lead to localized mode formation. In the case of solitary wave motion in nonlinear elastic media, contacting with the liquid, these solitons can be interpreted as `moving inclusions'. The analytical solution for solitary waves has been found. If the soliton speed v0 is more than the velocity of sound c0 in the liquid, the solitary waves strongly slow down. If c0 is close to v0, then a resonance can be observed and solitons move without any resistance. If the soliton speed is less than c0, the solitary wave slow-down is negligible, compared to the case v0>c0.
UR - http://www.scopus.com/inward/record.url?scp=0032228674&partnerID=8YFLogxK
U2 - 10.1023/a:1026484701275
DO - 10.1023/a:1026484701275
M3 - Conference article
AN - SCOPUS:0032228674
VL - 61
SP - 1
EP - 20
JO - Flow, Turbulence and Combustion
JF - Flow, Turbulence and Combustion
SN - 1386-6184
IS - 1
T2 - The Euromech 369 Colloquium on Fluid-Structure Interaction in Acoustics
Y2 - 23 September 1997 through 26 September 1997
ER -
ID: 75073993