Desktop computers can now execute exhaustive numerical models of loudspeakers in a matter of minutes. The ability to model mechanical structures, acoustical spaces, and their interaction has been demonstrated. However, the accuracy has been limited to approximately one octave above the first mechanical breakup of the diaphragm. A more precise model is needed. Prior limitations are discussed; and new methods are introduced, which have been successfully integrated into commercially available finite-element analysis software. For the first time high-bandwidth drivers, such as full ranges, and woofer midranges are being modeled accurately over their entire operating range. The analysis takes five minutes on a typical PC as of 2000 May.:
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