Page 100 - 《应用声学》2022年第5期

第 41 卷 第 5 期 Vol. 41, No. 5
2022 年 9 月 Journal of Applied Acoustics September, 2022

⋄ 研究报告 ⋄

管道有源噪声控制中壁面分布次级声源

的空间分布优化

罗平展 1,2 张芳杰 1,2 徐 健 1 李晓东 1,2†

(1 中国科学院噪声与振动重点实验室 (声学研究所) 北京 100190)
(2 中国科学院大学 北京 100049)
摘要：为了改进管道中高阶模式声波的有源控制效果，研究了壁面分布次级声源的空间分布优化问题。首先
提出管道中次级声源独立控制高阶模式声波的理论模型。然后推导次级声源在管道中各方向上空间分布对控
制高阶模式声波的贡献，得到了次级声源空间分布的优化准则。通过将空间分布离散化，采用最小化管道中声
能流的控制策略得到次级声源的最优驱动强度。最后通过数值仿真对比最优驱动强度时各种次级声源空间分
布对控制性能的影响，验证了通过优化次级声源空间分布能显著提高控制效果。仿真结果表明，当次级声源分
布于管道所有壁面且沿管道轴向分布范围较大时，高阶模式的控制效率最高。
关键词：有源噪声控制；高阶模式声波；壁面分布次级声源；空间分布
中图法分类号: TB535 文献标识码: A 文章编号: 1000-310X(2022)05-0776-09
DOI: 10.11684/j.issn.1000-310X.2022.05.012

Spatial distribution optimization of boundary-located secondary sources in the

active noise control in ducts

LUO Pingzhan 1,2 ZHANG Fangjie 1,2 XU Jian 1 LI Xiaodong 1,2

(1 Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China)
(2 University of Chinese Academy of Sciences, Beijing 100049, China)

Abstract: The optimization of the spatial distribution of boundary-located secondary sources is studied to
improve the control performance on the higher-order modes in ducts. At first, the theoretical model of the
secondary sources generating higher-order modes in ducts is proposed. Then the contribution of boundary-
located secondary sources distributed in each direction is analytically derived, which provides the guidance for
optimizing the secondary source distribution. The source distribution is discretized and the source strengths are
obtained by minimizing acoustic power flow in the duct. Finally, the control performances achieved by various
source distributions with optimal source strengths are compared to illustrate that the control performances
can be significantly improved by optimizing the source distribution. The simulation results show that the
boundary-located secondary sources should be located around all the duct walls and spread out along the axial
direction to get the best control performance.
Keywords: Active noise control; Higher-order modes; Boundary-located secondary sources; Spatial distribu-
tion

2021-04-20 收稿; 2022-07-06 定稿
作者简介: 罗平展 (1992– ), 男, 湖南怀化人, 博士研究生, 研究方向: 声信号处理。
通信作者 E-mail: lxd@mail.ioa.ac.cn
†