Determination of the sound pressure radiation from circular pistons and non-planar rings using a simplified numerical approach

Although the study of the sound pressure radiation from membranes and plates is not new, current and future applications have produced a large body of recent research in the field. Several works have been published on the radiation from general plane surfaces and some particular geometries such as rectangular, circular, elliptic and annular. However, the case of sound radiation from non-planar axisymmetric rings that could be applied to the design of coaxial loudspeakers has not received much attention. In this article, a simplified numerical approach for determining the sound pressure radiated from symmetric non-planar pistons and rings is presented. The method can also include those cases having a radially-symmetric velocity distribution