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Modeling Sound Sources with Non-Convex Shapes Using an Edge Diffraction Approach

This paper explores the modeling of sound radiation from vibrating structures, representing the acoustic environment with Green’s functions. A ?ctive convex hull is created that encloses the vibrating structure, and different subdomains will be created at the structure’s indents. Each boundary between those subdomains and the convex exterior is then discretized, employing "virtual pistons." The impedances of those virtual pistons can be computed ef?ciently for the external convex domain with the edge source integral equation. The impedance contributions of the indenting subdomains can be computed by means of theoretical (modal) expressions or by any numerical method. An open shoebox-shaped object is presented and analyzed as an example.

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