周期矩形轮廓声学散射体的散射性质预测算法及其应用研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (7) : 80-85.

论文

王海涛，曾向阳，杜博凯，刘延善

作者信息 +

Predicting scattering properties of a periodic-type diffuser with a rectangular profile

WANG Haitao,ZENG Xiangyang,DU Bokai,LIU Yanshan

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文章历史 +

摘要

具有周期排列形式的散射体是建筑声学中一种常见的声学扩散结构，针对各种室内环境中最为常见的周期矩形轮廓散射体，基于光栅方程发展了一种散射性质预测算法，并利用此方法对矩形轮廓散射体的散射性质进行了预测及分析。首先详细介绍了预测算法的推导过程，此算法仅利用散射体的几何参数及入射波参数即可计算各个阶次反射波的能量，从而对散射性质进行预测；然后，通过对不同算例散射系数的计算及对比证明了预测算法具有良好的正确性及计算效率；最后，利用预测算法对周期矩形轮廓散射体的散射性质进行了分析，分析表明其具有缺级散射、对称散射性质，这些性质不但可以使周期矩形轮廓散射体在室内声学扩散问题中得到更加合理的应用，还使其有潜力在其他领域，如噪声控制、空间滤波等问题中发挥重要的作用。

Abstract

The periodic-type diffuser is a kind of important acoustical structures in architectures.It is usually beneficial to improve diffusion and prevent echoes.However,sometimes it also leads to side effects of coloration because of its periodically arranged structure.Here,a grating effect-based method was developed to predict scattering properties of a periodic-type diffuser with a rectangular profile most widely used in room acoustics.Firstly,the derivation of the grating effect-based method was introduced in detail.This method was capable of calculating the scattering energy of reflection waves using the geometrical parameters of the diffuser without time-consuming numerical simulations.Then,the calculation and comparison of scattering coefficients in examples showed that the proposed method has a good accuracy to predict scattering properties.Lastly,the scattering properties of the periodic-type diffuser with a rectangular profile were analyzed using the grating effect-based method.The results demonstrated that the periodic-type diffuser with a rectangular profile has properties of missing order scattering and symmetric scattering; based on these special properties,the periodic-type diffuser with a rectangular profile can not only be more reasonably used in room acoustics,but also play an important role in other engineering fields,such as,spatial filtering,spectrum control,and noise control.

导出引用

王海涛，曾向阳，杜博凯，刘延善. 周期矩形轮廓声学散射体的散射性质预测算法及其应用研究[J]. 振动与冲击, 2017, 36(7): 80-85

WANG Haitao,ZENG Xiangyang,DU Bokai,LIU Yanshan. Predicting scattering properties of a periodic-type diffuser with a rectangular profile[J]. Journal of Vibration and Shock, 2017, 36(7): 80-85

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