The sound power of an individual mode of a clamped–free annular plate

The main aim of this study is an analysis of sound radiation of some clamped–free and free–clamped annular plates. The plates are embedded in some infinite perfectly rigid baffles and vibrate with the free-field condition satisfied. The Kirchhoff–Love linear theory of a perfectly elastic plate is used to solve the plates’ equations of motion. The sound pressure at the plates’ surfaces is expressed by its Hankel transform. The closed-path integral technique known from the literature and the stationary-phase method are used to find the standardized active and reactive sound power of an individual mode in the form of some high-frequency asymptotic formulae useful for some highly efficient engineering computations. Their non-oscillating and oscillating parts have been separated. It is assumed that the vibration and sound radiation are axisymmetric and time harmonic. Low fluid loading is also assumed. The complex sound power of an individual mode forms the basis for computing the total sound power of some excited and damped vibrations in the fluid. The total sound power is not discussed in this study.