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

Abstract

The radiation field by a vibrating ribbon plate which is infinitely long and infinitely thin is treated by the use of modified Weber-Schafheitlin integrals and hypergeometric polynomials. For four fundamental types of source distribution on the ribbon plate the directional property of the radiation field at large distance and the radiation impedance of the plate are computed for k=0.2∼4.0, where k=2πa⁄λ, a is the half-breadth of the ribbon plate and λ is the wave length.
Auxiliary tables which can be used in calculating the field caused by an arbitrary vibration of the plate are given for k=0.2∼4.0.