Page 39 - MSAM-4-1
P. 39

Materials Science in Additive Manufacturing                             TPMS for perfect sound absorption




                            A                                B












                            C                                D
















                                          E














            Figure 11. Acoustic band structure of: (A) Primitive-6 mm, (B) Primitive-12 mm, (C) Primitive-18 mm, (D) Primitive-24 mm, and (E) Primitive-30 mm
            Abbreviation: k”: Bloch wave vector, imaginary part

                                                               spectrum (Figure  13). The upper limit frequency of the
                                                               bandgap of IWP-18 mm is 4140 Hz, and the lower limit
                                                               frequency of the bandgap of IWP-18 mm is 3130 Hz. The
                                                               resonance frequency (f  =3860  Hz) of the first peak of
                                                                                  1
                                                               IWP-18 mm is within the above range. The width of the
                                                               bandgap of IWP-18 mm, IWP-24 mm, and IWP-30 mm
                                                               are  1010,  710, and  410  Hz,  respectively, indicating  that
                                                               the bandgap of IWP decreases as the thickness increases;
                                                               the bandgap of the IWP structure also shifts to a lower
                                                               frequency. This pattern is similar to the variation pattern
                                                               of the sound absorption coefficient curve: as the porosity
                                                               thickness increases, the sound absorption peak gradually
                                                               narrows and moves toward a lower frequency. A second
                                                               narrow bandgap at IWP-24 mm and IWP-30 mm in the
                                                               higher frequency region was observed, corresponding
            Figure 12. Sound absorption curves of: I-Wrapped Package (IWP) and   to the second resonance peak of the sound absorption
            multicavity-IWP structures                         coefficient curves of IWP-24 mm and IWP-30 mm.


            Volume 4 Issue 1 (2025)                         12                             doi: 10.36922/msam.5737
   34   35   36   37   38   39   40   41   42   43   44