圆柱面上小孔的声阻抗率

The specific acoustic impedance of an aperture on the cylindrical surface

本文根据严格的声学理论,分析了圆柱面上小孔端面由于辐射所产生的声阻抗率。对于声阻率导出了低频近似解。对于声抗率运用了一个分析技巧导出了简化的计算公式,从而得出结论:如果忽略高阶小量,圆柱面小孔的声抗率与无限大平面上相应小孔的声抗率是相等的。

In this paper, the acoustic impedance caused by the sound radiation at the terminals of the aperture, which is laid on the cylindrical surface, is analysed on the base of rigorous sound theory. In low frequency range, the approximate solution of the specific acoustic resistance is derived. Special operations are introduced in order to simplify the solution of the specific acoustic reactance. It is verified that the specific acoustic reactance of the aperture on the cyclindrical surface is equal to that of a similar aperture on an infinite large plane if small quantities of high order are omitted.