Mathematical modeling and experimental investigation of sound wave propagation through a deformable plate placed between two chambers

This paper gives a numerical solution of the plane problem of propagation of a sound wave formed by a sound source in a high-pressure chamber through a deformable thin plate, and of formation of a wave emitted by the plate in a low-pressure chamber. The problem under study is related to the mathematical modeling of experimental determination of sound-insulating properties of thin-walled structures by the method of adjacent reverberation chambers in acoustic laboratories. Two statements of the problem, which differ in the way of specification of a sound source in the high-pressure chamber, are investigated based on the use of wave equations in a two-dimensional approximation. It is proved that both of the two considered statements lead to almost equal results in determination of the sound transmission loss of the plate. Theoretical results are compared with experimental research data.