A more direct derivation of the radiation resistance of a panel

✍ Scribed by C.L. Dym

• Book ID: 104153590
• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 183 KB
• Volume: 32
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80170-7

✦ Synopsis

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 [2] and of Lyon and Maidanik [3]. 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 result, 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, q~, of the observation point.

For a driving velocity u(x,)e -t~'t located in an otherwise rigid boundary, the pressure may be deduced, from a result given by Morse and Ingard [4], to be in the form