鼓の振動についての一考察

概要

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The properties of vibration on Tsuzumi, kinds of drums in Japanese traditional musical instruments, are theoretically and experimentally discussed. There are two kinds of Tsuzumi, ootsuzumi and kotsuzumi that have different features each other. First, considering the structures and materials of their membranes, it is described that the vibrations on ootsuzumi's membranes may be approximated to that of a circular membrane, and that the vibrations on one side of kotsuzumi's membranes have features of an annular membrane and those on other side have features of a loaded membrane which has the mass on the center. Next, solved the wave equations of these three membranes and derived their eigen equations, the properties of their vibrational frequencies are presumed by means of ratios of roots on the eigen equations. As a result, it is mentioned that the vibrational frequencies of ootsuzumi may approximate to ratios of roots of the Bessel's function and those of kotsuzumi may indicate harmonic properties, which are shown by comparing between the theoretical values and the measured values of their spectrum. These results may be applied to the synthesis of electronic musical instrument tones.
社団法人日本音響学会の論文
1985-04-01