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<span>About the analytical prediction of the broadband sound absorption of multi-neck Helmholtz resonators</span> <br>

Authors: Philipp Heck; Nikolaos Papadakis; Georgios Stavroulakis; Sabine Langer;

<span>About the analytical prediction of the broadband sound absorption of multi-neck Helmholtz resonators</span> <br>

Abstract

<span>For the reduction of tonal or narrow-band airborne sound in the low-frequency range, the classic Helmholtz resonator shows advantages in absorption behaviour compared to porous absorbers. Since broadband absorption is often also required in the low-frequency ranges, this contribution examines the potential of multi-neck Helmholtz resonators that exhibit a broader absorption behaviour. Based on the transfer matrix method (TMM) and the parallel transfer matrix method (PTMM), a model is proposed that determines the absorption behaviour using constitutive laws for sound propagation in the case of cylindrical tubes. It is assumed that the influence of the interaction e</span><span>ff</span><span>ects between the di</span><span>ff</span><span>erent necks in the low-frequency range is of subordinate importance, so that the constitutive equations do not need to be adjusted in this respect. Accordingly, the e</span><span>ff</span><span>ective fluid properties of the di</span><span>ff</span><span>erent necks can be considered separately. The assumptions were validated with additively manufactured samples by measuring the absorption coe</span><span>ffi</span><span>cient with an impedance tube according to ISO 10534-2, the two-microphone method and the finite element method. A comparison of the experimental and analytical results of multi-neck Helmholtz resonators shows very good agreement with regard to the resonance frequency. However, the maximum of the absorption coe</span><span>ffi</span><span>cient is slightly overestimated, as the resistive correction model does not take into account the influence of the additively manufactured surfaces. A correction of the proposed values of this model leads to an accurate prediction of the absorption behaviour of multi-neck resonators. To summarise, the semi-analytical model presented in this study is promising for predicting the absorption properties of multi-neck Helmholtz resonators. Furthermore, it allows the consideration of di</span><span>ff</span><span>erent diameters.</span> <br>

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citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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