Asymptotic formulas for the acoustic radiation impedance of an elastically supported annular plate

This paper deals with the normalized acoustic radiation impedance of an elastically supported annular plate in axisymmetric vibrations. Cauchy's theorem about residues and the stationary phase method have been used to approximate the corresponding integrals. As a result, elementary asymptotic formulas valid for axisymmetric boundary configurations of clamped, guided, simply supported and free annular plates as well as for all the intermediate boundary configurations have been obtained.