A More Direct Derivation of the Radiation Resistance of a Panel
Recently Donato  has presented a direct derivation of the radiation resistance of a panel, based on an application of Rayleigh's radiation formula. He also compared his results to the earlier work of Maidanik  and Lyon and Maidanik . Inasmuch as Donato's derivation seems to be rather ad hoc in its formulation, and rather cumbersome in its application, an alternate derivation is given here. The present analysis begins with a well-known results, and proceeds through straightforward evaluation of classical integrals. Insofar as is possible Donato's notation will be used here, with the sole exception of dropping the subscript zero from the circumferential angle, ϕ, of the observation point.
© 1974 Published by Elsevier Ltd.
C.L. Dym, A more direct derivation of the radiation resistance of a panel, Journal of Sound and Vibration, Volume 32, Issue 2, 22 January 1974, Pages 279-282, ISSN 0022-460X, http://dx.doi.org/10.1016/S0022-460X(74)80170-7. (http://www.sciencedirect.com/science/article/pii/S0022460X74801707)