高声压谐振耦合管共振频率的优化设计

杨嘉莉; 毛宏宇; 何龙标; 祝海江; 冯秀娟; 牛锋

doi:10.3969/j.issn.2096-9015.2021.03.14

高声压谐振耦合管共振频率的优化设计

doi: 10.3969/j.issn.2096-9015.2021.03.14

杨嘉莉^{1, 2,},
毛宏宇¹,
何龙标^1, ,,
祝海江²,
冯秀娟¹,
牛锋¹

1.
中国计量科学研究院，北京 100029
2.
北京化工大学，北京 100029

基金项目: 国家自然科学基金资助项目(51575502)；质量技术监督能力提升项目(ANL1803)

详细信息

作者简介:
杨嘉莉（1992-），中国计量科学研究院、北京化工大学联合培养硕士研究生，研究方向：声学测量仪器，邮箱：1847417531@qq.com

通讯作者:
何龙标（1981-），中国计量科学研究院研究员，研究方向:声学计量，邮箱：helb@nim.ac.cn

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出版历程
- 网络出版日期: 2021-04-13

Design Optimization of the Resonance Frequency of a High Sound Pressure Resonant Coupled Tube

1.
National Institute of Metrology, Beijing 100029, China
2.
Beijing University of Chemical Technology, Beijing 100029, China

摘要

摘要: 谐振耦合管法产生的声压源具有高声压级、低失真的特点，通常用于高声压传声器在固定频率下的线性度校准。基于声学有限元模型，分析了谐振耦合管的特征频率和频率响应，优化了谐振耦合管的设计，其共振基频的实验值与计算值相差0.8 Hz，500 Hz谐振耦合管实现的声压级可到174 dB，总谐波失真为0.5%。
- 高声压 /
- 谐振耦合管 /
- 有限元分析 /
- 频率设计
Abstract: The sound pressure source generated by the resonant coupled tube method has a high sound pressure level with a low distortion. It is usually used for the calibration of level linearity and distortion of high sound pressure microphones at a fixed frequency. Based on the acoustic finite element model, this paper analyzes the characteristic frequency and frequency response of a resonant coupled tube, and optimizes the design of the tube. The experimental value of the resonant fundamental frequency differed from the calculated value by 0.8 Hz. The resonant coupled tube at 500 Hz generated a sound pressure level of 174 dB with a total harmonic distortion of 0.5%.
- high sound pressure /
- resonant coupled tube /
- finite element analysis /
- frequency design

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图 1 谐振耦合管简图

Figure 1. Schematic diagram of a resonant coupled tube

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图 2 谐振耦合管的三维结构

Figure 2. Structure of the resonant coupled tube

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图 3 T₁管不同长度时的频率响应

Figure 3. Frequency response with different lengths of the tube T₁

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图 4 T₂管不同长度时的频率响应

Figure 4. Frequency response with different lengths of the tube T₂

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图 5 不同截面积比时的频率响应

Figure 5. Frequency response at different cross section ratios

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图 6 优化设计后谐振耦合管的频率响应

Figure 6. Frequency response of the optimized resonant coupled tube

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图 7 基于谐振耦合管法的高声压源系统实物图

Figure 7. Photo of the system of the high sound pressure source based on the resonant coupled tube method

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图 8 500 Hz耦合管管末端声压的频率响应曲线

Figure 8. Frequency response curve obtained at the end of the 500 Hz coupled tube

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表 1 谐振耦合管的特征频率

Table 1. Characteristic frequency of the resonant coupled tube Hz

一阶二阶三阶四阶五阶

500.8 624.9 1140.1 1622.5 1752.1

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表 2 谐振频率实验值和计算值的对照

Table 2. Comparison of experimental and calculated resonant frequencies Hz

一阶二阶三阶

计算 500.8 624.9 1140.1
实验 500.0 625.0 1165.0
$\left| \varDelta \right|$ 0.8 0.1 24.9

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表 3 T₂管顶部在不同声压级下的测试结果

Table 3. Test results at different sound pressure levels at the top end of the tube T₂

声压级/dB THD/% 声压级/dB THD/%

114 0.21 167 0.20
124 0.06 168 0.25
134 0.02 169 0.41
144 0.01 170 0.39
154 0.04 171 0.37
164 0.14 172 0.37
165 0.15 173 0.39
166 0.17 174 0.45

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