Page 99 - 应用声学2019年第2期

第 38 卷 第 2 期 Vol. 38, No. 2
2019 年 3 月 Journal of Applied Acoustics March, 2019

⋄ 研究报告 ⋄

矩形法兰孔孔口模态辐射阻抗的计算与分析 ∗

李家柱 1,2,3† 叶望青 1,2 钟秤平 3 陈 剑 1,2 刘 策 1,2

(1 合肥工业大学机械工程学院噪声振动工程研究所 合肥 230009)
(2 安徽省汽车 NVH 工程技术研究中心 合肥 230009)
(3 江西省汽车噪声与振动重点实验室 南昌 330001)

摘要 针对半空间矩形法兰孔孔口模态辐射阻抗计算困难的问题，提出一种模态辐射阻抗的计算方法。该方
法通过坐标变换将四重积分转换为二重积分并消除奇异积分，且将这一系列过程通过 MATLAB 内置函数直
接实现，显著降低了模态辐射阻抗计算的复杂程度。通过对比与分析，验证了该方法的正确性，得到了自模态
辐射阻抗随模态阶次增加峰值逐渐往高频移动且呈减小趋势、互模态辐射阻抗相比于自模态辐射阻抗小到可
以忽略不计的性质。
关键词 矩形法兰孔，模态辐射阻抗，四重积分，坐标变换
中图法分类号: O422.6 文献标识码: A 文章编号: 1000-310X(2019)02-0245-08
DOI: 10.11684/j.issn.1000-310X.2019.02.014

Modal radiation impedance calculation and analysis of flanged
rectangular aperture orifice

LI Jiazhu 1,2,3 YE Wangqing 1,2 ZHONG Chengping 3 CHEN Jian 1,2 LIU Ce 1,2

(1 Institute of Sound & Vibration Research, School of Mechanical Engineering, Hefei University of Technology,
Hefei 230009, China)
(2 Anhui Automotive NVH Engineering and Technology Research Center, Hefei 230009, China)
(3 Key Laboratory of Automobile Noise and Vibration of Jiangxi Province, Nanchang 330001, China)

Abstract Aiming at the difficulty in calculating modal radiation impedance of flanged rectangular aperture
orifice, a method for modal radiation impedance calculation was presented. In this method, the quadruple
integral was transformed to double integrals and the singular integrals were eliminated via coordinate transfor-
mations. All the procedures were implemented in MATLAB by its built-in functions directly and the complexity
of modal radiation impedance calculation was decreased dramatically. The method was validated and prop-
erties of modal radiation impedance were obtained via calculation and analysis. The analysis shows that:
the amplitude frequency of modal radiation impedance is increased and the amplitude of self-modal radiation
impedance is decreased with the increasing of modal order, the amplitude of cross-modal radiation impedance
is negligibly small compared to self-modal radiation impedance.
Key words Flanged rectangular aperture, Modal radiation impedance, Quadruple integral, Coordinate trans-
formation
2018-07-24 收稿; 2018-09-03 定稿
国家自然科学基金项目 (11604070), 安徽省科技重大专项 (17030901049), 江西省汽车噪声与振动重点实验室开放课题项目
∗
(JXNVHKB-KFKT-201803)
作者简介: 李家柱 (1983- ), 男, 安徽合肥人, 博士, 讲师, 研究方向: 噪声与振动控制、声传播计算。
† 通讯作者 E-mail: jiazhu.li@hfut.edu.cn