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Validation and limitations

We compared our simulations with two published impedance-tube measurements. Each case was simulated from geometry alone, with no parameters fitted to the measured data.

Case A: micro-perforated panel with 5, 10 and 15 mm air gaps

Measured data traced from Fig. 9 of Sekar, V., Eh Noum, S. Y., Putra, A., Sivanesan, S., Chin, K. C., Wong, Y. S., & Kassim, D. H. (2021). Acoustic properties of micro-perforated panels made from oil palm empty fruit bunch fiber reinforced polylactic acid. Sound & Vibration, 55(4), 343–352. https://doi.org/10.32604/sv.2021.014916 (CC BY 4.0).

Air gapf peak, simulationf peak, measurementΔfα peak, sim / exp
5 mm2610 Hz2720 Hz−4.1 %1.00 / 0.99
10 mm1800 Hz1900 Hz−5.2 %1.00 / 0.99
15 mm1485 Hz1575 Hz−5.7 %0.99 / 0.98

The simulation reproduces the peak absorption, the shape of each curve, and the shift of the peak to lower frequency as the air gap grows. The measured peaks sit 90–115 Hz (about 5%) higher in frequency, a consistent offset across all three gaps. The simulation was solved in 45 Hz steps.

Case B: 3D-printed periodic lattice (OPC-5) with a 40 mm air gap

Measured data traced from Fig. 12(b) of Zieliński, T. G., Opiela, K. C., Pawłowski, P., Dauchez, N., Boutin, T., Kennedy, J., … Groby, J. P. (2020). Reproducibility of sound-absorbing periodic porous materials using additive manufacturing technologies: Round robin study. Additive Manufacturing, 36, 101564. https://doi.org/10.1016/j.addma.2020.101564. The sample has a 5 mm periodic cell and is 60 mm thick.

Peakf, simulationf, measurementΔfα, sim / exp
2nd2040 Hz1970 Hz+3.6 %0.87 / 0.84
3rd3720 Hz3675 Hz+1.2 %0.94 / 0.91
4th4620 Hz4665 Hz−1.0 %0.98 / 0.96

The comparison covers 800–6000 Hz; the traced measurement below about 800 Hz was not reliable enough to compare. The simulation was solved in 60 Hz steps.

Interactive charts for both cases are on the homepage.

Limitations

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