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消声管道声学性能计算的二维等几何有限元方法及应用
引用本文:杨亮,孙红灵,杨军.消声管道声学性能计算的二维等几何有限元方法及应用[J].声学学报,2021,46(6):1185-1192.
作者姓名:杨亮  孙红灵  杨军
作者单位:1. 中国科学院噪声与振动重点实验室(声学研究所) 北京 100190;
基金项目:国家自然科学基金项目(11474306,11472289)中国科学院青年创新促进会项目资助
摘    要:将等几何有限元方法应用于消声管道的声学性能计算,使用二维等几何有限元方法求解管道截面的声学特征值,考虑了存在穿孔边界和吸声材料边界的情况,进而使用特征值计算消声管道的传递损失。对包覆式消声管道进行传递损失的计算,结果与二维有限元方法吻合较好.对圆形截面的特征值计算结果表明,在计算量相同的情况下,等几何有限元方法取得了比传统有限元方法更好的计算精度.在不同结构参数条件下对消声管道的声学性能进行计算,结果与三维数值方法吻合良好。方法能够在宽频范围内较好地预测消声管道的传递损失。 

关 键 词:消声管道    传递损失    等几何有限元方法    声学特征值分析
收稿时间:2019-10-21

Acoustic attenuation performance prediction of silencing ducts by 2D isogeometric finite element method and its application
Institution:1. Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190;2. University of Chinese Academy of Sciences, Beijing 100049
Abstract:The two dimensional(2D) IsoGeometric Finite Element Method(IG-FEM) is applied to predict the acoustic attenuation performance of silencing ducts.Acoustic eigenvalues of duct cross-section are obtained by 2D IG-FEM and then the Transmission Loss(TL) is calculated.Perforated boundary and sound-absorbing material boundary are also considered.TL results of a rectangular silencing duct agree well with those obtained from the FEM and the accuracy of the IG-FEM is verified.Test case of a round cross section demonstrates that IG-FEM obtains more accurate results than the FEM does at almost the same computation cost.Under several different structure parameter conditions,TL of test examples by the IG-FEM are well compared with 3D numerical method.The IG-FEM can accurately predict the TL over a wide frequency range. 
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