On free oscillations of an annular acoustical resonator with elastic face walls

The analytical solution of the problem of determining the frequencies and forms of natural acoustic oscillations of a resonator of ring cylindrical shape is constructed. The face walls of the resonator are flat elastic annular plates. The internal and external edges of the plates are clamped to internal and external rigid cylindrical walls. The internal space of the resonator is filled with ideal compressible fluid. The effect of lowering natural frequencies when elastic walls of the resonator come together is confirmed.