圆柱管道声辐射阻抗的近似计算
Approximation of the acoustic radiation impedance of a cylindrical pipe
摘要：
给出了无限凸缘和无凸缘刚性壁圆柱形管道反射系数的辐射阻抗近似公式。这些表达式保证满足简单但必要的物理和数学原理，如反射系数的厄米对称性（正负频率的相同行为）和脉冲响应的因果关系。一个非因果关系，但更准确的表达也提出了适合于频域应用。公式通过解析和数值拟合得到的参考结果从Levine & Schwinger的无凸缘的情况下，从Zorumski给出的无限凸缘的情况下的辐射阻抗矩阵提取。
英文摘要：
Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and mathematical principles are met, like hermitian symmetry for the reflection coefficient (identical behaviour of positive and negative frequencies) and causality for the impulse response. A non causal but more accurate expression is also proposed that is suitable for frequency-domain applications. The formulae are obtained by analytical and numerical fitting to reference results from Levine & Schwinger for the unflanged case and extracted from the radiation impedance matrix given by Zorumski for the infinite flanged case.
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