The transmission of randomly incident sound through an elastic panel

A simple method is given to estimate the power, transmitted through a large elastic panel, when averaged over all directions of an incident plane sound wave, in the limit of short waves compared with plate dimensions. Details are given for the simple prototype example of a rectangular isotropic bending plate. The procedure provides a simple estimate of the forced non-resonant contribution to the power flow, in the short wave asymptotic limit, and previous results are recovered. The method is readily amenable to generalizations to deal with more complicated geometries and plate equations. As an illustration, results are presented for the case of a circular isotropic panel.