The Acoustic Impedance of a Vibrating Annular Piston Located on a Flat Rigid Baffle Around a Semi-Infinite Circular Rigid Cylinder

The axisymmetric problem of acoustic impedance of a vibrating annular piston embedded into a flat
rigid baffle concentrically around a semi-infinite rigid cylindrical circular baffle has been undertaken in
this study. The Helmholtz equation has been solved. The Green’s function valid for the zone considered
has been used for this purpose. The influence of the semi-infinite cylindrical baffle on the piston’s acoustic
impedance has been investigated. The acoustic impedance has been presented in both forms: integral and
asymptotic, both valid for the steady harmonic vibrations. Additionally, the acoustic impedances of the
piston with and without the cylindrical baffle have been compared to one another. In the case without
the cylindrical baffle some earlier results have been used.