Abstract
An analytical model of a five string banjo is used to calculate the dynamic response of a plucked banjo and the subsequent radiation of sound. This is the easy part: the difficult part is to identify and quantify the subtle differences between bad and good sound, whether that sound is measured or calculated. As a step toward this, the author has defined figures of merit (FOMs) to quantify radiated sound characteristics related to loudness, brightness, and decay, and to examine these FOMs as functions of the tension and propagation loss factor of the membranic head, the mass of the bridge, and the location of the pluck on the string. The calculated response does exhibit dual decay constants for radiated sound and a diminution of the sixth overtone. Qualitative agreement between calculated and measured mode patterns will be presented.
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