Acoustic Transparency of Non-homogeneous Plates (with repeating inclusions) using Periodic Structures Methodology
NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI
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The paper addresses a class of problems for determining the acoustic interaction of time harmonic plane waves impinging upon submerged elastic plates fluid backed or void backed, that are of infinite in extent. The plates can have repeated equally spaced inclusions voids solids, ribs etc., and also can be constructed from orthotropic andor isotropic layers that can have a frequency dependent loss factor for the modulus data e.g. E E1ietaE, and nunu1ietanu, where etaE and etanu are the corresponding loss factors for Youngs modulus and Poissons ratio for example. Since the plates are infinite in extent, the issue of dealing with the infinite domain of fluid must be dealt with and is treated through the application of PML Perfectly Matched Layers boundary conditions, for absorbing the reflected acoustic waves and transmitted acoustic waves when the plates are fluid backed. The physical quantities of interest are typically the reflected acoustic waves and transmitted acoustic waves, however detailed information of how the elastic stress waves propagate through and around the inclusions are often of interest as well.
- Physical Chemistry
- Theoretical Mathematics