Abstract
The modeling of compliant tube gratings has been performed with the help of the finite element method, using the ATILA code [Decarpigny et al., J. Acoust. Soc. Am. 78, 1499–1507 (1985)]. To do this, only the unit cell of the periodic structure, including a small part of the surrounding fluid domain, has to be meshed, due to the use of a classical Bloch‐type relation between the displacement components of points that are separated by the grating spacing. Then, the effect of the external fluid domain is accounted for by matching the pressure field in the finite element domain to simple ingoing and outgoing plane‐wave expressions. This paper describes results obtained for the scattering of a plane wave from different compliant tube gratings, including internal losses, at oblique incidence. First, it shows that a nice agreement has been found between predictions from an analytical model and finite element results for the insertion loss of an infinite elastic plate, thus validating the method. Then it describes the case of cylindrical tube gratings embedded or not in a viscoelastic layer, and shows the effects of low‐stiffness encapsulant on insertion loss curves. Finally, double‐layer gratings with different separations are also considered.
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