应用传递矩阵法求解非均匀声学覆盖层吸声系数

Research on the calculation method of sound absorption coefficient for non-uniform acoustic coat

针对含周期单元声学覆盖层的吸声系数计算方法展开研究,提出一种数值加解析的联合方法用于改善计算分析效率。首先,以声阻抗管三水听器双负载法测试原理为基础,建立声管有限元模型并获取覆盖层的等效传递矩阵,结合多层均匀介质声吸收解析理论计算覆盖层吸声系数。为验证算法的准确性,将有限元直接计算结果与数值加解析计算结果对比,结果显示本文算法在大部分频率范围内能准确预报吸声系数,并详细分析了计算误差的产生原因。该方法为有效提高声学覆盖层降噪性能优化提供理论支撑与方法指导。

In this paper,a way of calculating the absorption coefficient of acoustic coat with periodic element is studied,and a combined numerical and analytical method is proposed to improve the efficiency of analysis.Firstly,based on the testing principle of acoustic impedance tube three-hydrophone with double load method,the finite element model of acoustic tube was established and the equivalent transfer matrix was obtained,and the sound absorption coefficient of was calculated based on the analytical theory of multi-layer uniform medium.In order to verify the accuracy,the results of direct finite element calculation and numerical combined analytical calculation are compared.The results show that the proposed algorithm can accurately predict the sound absorption coefficient in most frequency ranges.The causes of calculation errors are also analyzed in detail.This method provides theoretical support and method guidance for optimizing the noise reduction performance of acoustic coat effectively.