Acoustic scattering by parallel plates with a single connector

A plane sound wave is incident upon one of two infinite parallel plates that are constrained along a line by a mechanical connector, which is simply hinged to both plates and which can support compressional motion. A formal solution is obtained and investigated for the cases where the plate upon which the sound wave is incident is subjected to heavy fluid loading while the parallel plate is subjected to light fluid loading and the fluid between the plates is either light or heavy. When the plates are separated by heavy fluid the additional limits of large and small plate spacing are used.