In the first half of this paper, free vibration of a conical solid horn is analyzed two-dimensionally and axisymmetrically by measns of the F. E. M. . From the results analyzed, the geometry of the horns is determined whose diameter of thick end is larger than quater wave-length. In addition, a double conical horn, which is formed by connecting two conical horns together, is examined on the influence of its combinations and its connecting parts. In the latter of this paper, the ratio outside and inside diameter of the flange which causes each resonance of the supporting flange is determined by means of the analytical solution. The F. E. M. analyzes free vibration of a system formed by a horn and a flange, and the results analyzed prove the rightness of this analytical solution.
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