The interaction of source-generated spherical waves with an elastic plate immersed in acoustic fluid
UDC
539.3EDN
ZHLAGPAbstract
The interaction of acoustic waves excited by a point source with an elastic plate immersed in an acoustic fluid is considered. To estimate the range of applicability of various approaches, the mathematical models has been developed on the base of the simplified Kirchhoff–Love plate and the full set of 3D Navier-Lam\'{e} equations for elastic laminate structures. Explicit integral representations for excited and scattered wave fields have been derived using the Fourier transform technique. In the far-field, the bulk and guided waves are described by an asymptotic representations obtained from those integrals using the stationary phase method and the residual technique. Among others, the derived solutions enable quantitative analysis of time-averaged wave energy fluxes in the considered source-structure system. The representations for the total source energy and its portions carried by reflected, transmitted and guided waves have also been obtained. The test comparisons with the numerical results of other authors are presented.
Keywords:
elastic plate, acoustic medium, point source, integral and asymptotics representations, energy balanceFunding information
Работа выполнена при поддержке Российского Научного Фонда (проект № 17-11-01191).
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