SHORT-WAVE RADIATION FROM A RIGID STRIP IN SMOOTH CONTACT WITH A SEMI-INFINITE ELASTIC SOLID

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Abstract
In the present paper we consider the short-wave radiation from a rigid strip which is forced to perform rectilinear oscillations normal to, and in smooth contact with, a semi-infinite homogeneous isotropic elastic solid. The mixed boundary-value problem is reduced by a function theoretic technique to a Fredholm integral equation of the second kind which may be solved by iteration when the compressional wave number k»1. Using this solution an asymptotic expansion for the radiation at large distances and the stress resultant on the radiator are obtained. It is shown that the results agree with the corresponding predictions of Kelter's Geometrical Theory of Diffraction except at certain angles where the latter theory breaks down. An example of the radiation pattern is given.

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