Abstract
An improved formulation for normal incident plane wave scattering from gratings of compliant tubes embedded in a viscoelastic layer immersed in fluid is presented. Approximations to boundary conditions at the interfaces between the interstice and compliant elements are eliminated by treating the interstice as a viscoelastic plate which has the material properties of the polymer matrix material. The compliant tubes are treated as two structurally and acoustically coupled plates with end conditions which correspond to those for the vibrational modes of a highly eccentric elliptical shell. Conditions on normal displacement, normal stress, and tangential displacement relate the compliant plates and viscoelastic plate boundaries to the surrounding viscoelastic layers. Comparisons of the insertion loss for gratings in fluid and gratings in viscoelastic layers in fluid will be shown. Limitations of the analysis will be discussed and calculations will be compared with experimental data.
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