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

The use of cellular materials with the geometry of triply periodic minimum energy surfaces (TPMES) is proposed for the creation of durable cellular materials with controlled acoustic characteristics. Homogeneous unit cells with the Primitive, Diamond, FRD and Gyroid topologies of different porosity were developed and their acoustic parameters were determined. Using the semi-phenomenological 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 the thickness of the sample, it is possible to control the acoustic characteristics and the 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 TPMES for creating materials with controlled pore geometry to achieve predictable sound absorption characteristics.