Acoustic scattering by parallel plates with periodic connectors

The scattering of a plane sound wave by two infinite, elastic, parallel plates constrained by equally spaced, identical, mechanical line connectors, which can support only compressional motion and which are simply hinged to both plates, is investigated using Fourier transforms. A formally exact solution is obtained and investigated asymptotically when the only fluid present occupies the half-space from which the sound wave is incident and provides heavy fluid loading to the plate, and likewise when this fluid also occupies the space between the plates. Conditions for resonant behaviour are also examined in these limits.