配列振動子の音響的干渉の数値計算法
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概要
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In actual sonar transducer arrays enclosed in a sonar dome to eliminate hydrodynamic noise, there are two kinds of acoustic interaction, one is the well-known interaction effect of mutual radiation impedance between the transducer elements, and the other is the interaction between sonar dome and transducer elements. If the sonar dome is considered to be a flat plate, the latter interaction can be dealt with as a problem involving mutual radiation impedance between the transducer elements and their images. In this paper, the numerical calculation method of determining the mutual radiation impedance coefficient between circular pistons and their images, as well as between two circular pistons on an infinite planar baffle is presented. Generally, the mutual radiation impedance coefficient between uniformly vibrating pistons is formulated by an expression of double surface integral (1), but it is difficult to solve it analytically except for special cases and to calculate concrete numerical values. So, in order to calculate these values easily, utilizing the axial symmetry of the radiated pressure field from a circular piston and two ring functions, this double surface integral expression is transformed into a double line integral expression (18). Then, computation of this expression is performed with a digital computer by the numerical integration method. The values of numerical mutual radiation impedance, obtained by this method for two circular pistons mounted on the planar baffle, are in good agreement with the values obtained by Klapman by analytical direct integration and by Porter by the Bouwkamp's method (Table 1). Furthermore, to illustrate the applicability of this method, numerical results are also shown in case a small circular piston is included in the large circular piston (Fig. 3 and Fig. 4), and in case the flat reflector is placed in front of two circular pistons (Fig. 5 and Fig. 6).
- 社団法人日本音響学会の論文
- 1977-07-01