On the Acoustic Field by a Vibrating Source Arbitrarily Distributed on a Ribbon Plate. I

Abstract

Two-dimensional rigorous solutions are presented for the acoustic field in the air caused by the vibrating source arbitrarily distributed on an infinitely thin and infinitely long ribbon. Using rectangular coordinates, the unique solution satisfying the boundary condition is obtained by the method of expansion in the hypergeometric polynomials. The expression of the velocity potential at large distance, pressure on the ribbon plate and power of radiation are obtained as a function of k=2πa⁄λ, where a is the half-breadth of the plate and λ is the wave length.