The self power of a clamped circular plate. An analytical estimation

A low frequency approximation for the self power of a
clamped crcular plate is presented in a form useful for some efficient numerical
computations. The approximation is precise enough within nearly the whole low
frequency range. It is assumed that the plate's vibrations are time harmonic and
axisymmetric. The approximation can be used for some further computations of the
total sound power radiated by the excited plate in an acoustic fluid.