| Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
