建立了基于阻尼谐振子的吸声系数模型,给出了吸声峰值频率与该模型参数的关系。仿真计算表明:确定该模型参数时,模型阶次应等于或大于实测吸声系数曲线的波峰数目;用来确定参数的实测吸声系数曲线,应选择包含峰值且测量误差较小的中频段数据。极点参数比留数参数的估计值准确性好。建立对应于实测曲线的吸声系数模型后,利用所确定的模型参数能够对吸声系数进行低频延拓,从而获得难以准确测量的低频吸声特性。以微穿孔板试件为例,对有关结论进行了验证。
A model of sound absorption coefficients based on damped harmonic oscillator has been used in the paper. The relation between maximal absorption frequency and parameters in the model is derived. Simulations show that the order of model should be equal to or greater than the number of absorption coefficient wave crests. The data for parameter estimation are chosen in the middle frequency range in which there should be wave crests and lesser measurement errors. The precision of parameter estimation on poles is better than that on residues. The sound absorption coefficients can be extended to low frequency where the measured values are often inaccurate. The method is finally validated by samples of micro-perforate panel.