
doi: 10.2139/ssrn.5280903
<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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