Abstract
The present paper deals with acoustical systems with an opening to semi-infinite space for sound radiation. The approach is a combination of the finite element method and the analytical method. The finite element approach is used for the hollow internal space, while the analytical approach is utilized for the open semi-infinite space. The semi-infinite space is expressed in terms of an integral with respect to the opening surface (Green's theorem). Compatibility conditions are then introduced for the interface boundary. The region to which the finite element analysis is to be applied is thus greatly reduced at the expense of additional numerical integration. A computer program is developed and, for numerical demonstration, calculations of some characteristics of conical and exponential horns, and of a practical speaker device with central post and silencers are considered. Comparisons with the measured results confirm the validity of the approach.
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