Design of Sound Absorbing Honeycomb Materials with a Geometry of Triply Periodic Minimal Surfaces (TPMS)

The use of cellular materials with the geometry of triply periodic minimal surfaces (TPMS) is proposed for the creation of durable cellular materials with controlled acoustic characteristics. Homogeneous unit cells with the primitive, diamond, FRD and gyroid topologies with different porosities were developed, and their acoustic parameters were determined. Using the semiphenomenological Johnson–Champoux–Allard–Lafarge–Pride model, the sound absorption capacity of materials with this geometry was estimated. It was shown that by varying the size of the unit cell and thickness of the sample, it is possible to control the acoustic characteristics and average sound absorption coefficient in the range from 0.2 to 0.8. The reliability of the calculations was confirmed experimentally using additively manufactured samples. The results demonstrate the potential of using TPMS for creating materials with controlled pore geometry to achieve predictable sound absorption characteristics.