Scattering to Higher Harmonics for Quarter-Wave and Helmholtz Resonators
Scattering to Higher Harmonics for Quarter-Wave and Helmholtz Resonators
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DOI：
10.2514/1.j055295
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发表时间：
2016-12
期刊：
影响因子：
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通讯作者：
K. Förner;Jonathan Tournadre;P. Martínez-Lera;W. Polifke
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文献类型：
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作者：
K. Förner;Jonathan Tournadre;P. Martínez-Lera;W. Polifke
研究了声谐振器在较宽的频率和振幅范围内的非线性响应。Helmholtz谐振器与对称颈部和非对称颈部，分别被认为是，以及四分之一波长谐振器。描述函数的阻抗和Helmholtz谐振器在不同的声压级的反射系数确定从可压缩流模拟和实验数据验证。本研究的重点是高次谐波的非线性散射。对于具有对称颈部的亥姆霍兹谐振器，观察到高次谐波的振幅中的独特图案，其中奇次谐波占主导地位的响应，而偶次谐波几乎可以忽略不计。这种“奇次谐波”的模式，这是以前在实验中观察到的孔，解释了准稳态分析的基础上的伯努利方程，假设在颈部的对称流动模式。对于亥姆霍兹共振器...
The nonlinear response of acoustic resonators is investigated over a broad range of frequencies and amplitudes. Helmholtz resonators with a symmetric neck and an asymmetric neck, respectively, as well as quarter-wave resonators are considered. Describing functions for impedance and the reflection coefficient of a Helmholtz resonator at various sound pressure levels are determined from compressible flow simulation and validated against experimental data. The particular focus of the present study is the nonlinear scattering to higher harmonics. For the Helmholtz resonator with a symmetric neck, a distinct pattern in the amplitudes of the higher harmonics is observed, where the odd harmonics dominate the response, whereas the even harmonics are almost negligible. Such an “odd-harmonics-only” pattern, which was observed previously in an experiment at the orifices, is explained by a quasi-steady analysis based on the Bernoulli equation, assuming a symmetric flow pattern at the neck. For the Helmholtz resonator...