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Materials Science in Additive Manufacturing                             TPMS for perfect sound absorption




                         A                                     B




















                         C                                     D


















            Figure 19. The upper and lower limits of sound absorption coefficient frequency band above 0.5: (A) uniform triply periodic minimal surface (TPMS) and
            multicavity-TPMS, and (B) graded TPMS and multicavity-graded TPMS. The semi-absorption bandwidth of: (C) Uniform TPMS and multicavity-TPMS,
            and (D) graded TPMS and multicavity-graded TPMS

            multicavity-primitive structures, the multicavity design of   further reduce the lower frequency limit. Additionally, the
            types Ⅰ and Ⅱ enhanced the noise reduction coefficient by   upper limit of multicavity-gyroid, multicavity-primitive,
            2.1% and 24.6%, respectively.                      multicavity-IWP,  and  multicavity-diamond  structures
              The upper and lower limits of the frequency band of the   are all higher than 6300 Hz, which is the test limit of the
            sound absorption coefficient above 0.5 (semi-absorption)   impedance tube (500 – 6300 Hz) used in this study.
            are displayed in Figure 19A. The diamond structure has   The upper and lower limits of the frequency band of the
            the lowest frequency lower limit, while the primitive   semi-absorption of graded TPMS structures are displayed
            structure has the highest frequency lower limit. As the   in Figure 19B. As the thickness of GP increases, the lower
            thickness of TPMS increases, the lower limit frequency   limit frequency of GP-Ⅰ and GP-Ⅱ shifts to a lower frequency.
            shifts to a lower frequency. The lowest frequency lower   The lower limit frequency of GP-30 mm-Ⅰ is 1250 Hz, which
            limit of Diamond-30  mm is 1310  Hz, which is 510  Hz   is 570 Hz lower than that of Primitive-30 mm. However,
            lower  than Primitive-30  mm.  The  upper  limit  of the   the lower limit frequency of GP-30 mm-Ⅱ is 2160  Hz,
            primitive and gyroid structures exhibits a decreasing trend   which is 340 Hz higher than that of Primitive-30 mm. This
            with increasing thickness, but the upper limit of IWP and   highlights that the graded design with a small unit cell size
            diamond structures decreases first and then increases   on the side of the incident sound wave can lower the limit
            with increasing thickness. For the multicavity design of   of  the  semi-absorption  frequency,  but  the  graded  design
            TPMS structures, the multicavity-IWP structure has the   with a large unit cell size on the side of the incident sound
            lowest frequency (820 Hz), which is 490 Hz and 600 Hz   wave increases the lower limit of the semi-absorption
            lower than that of Diamond-30  mm and IWP-30  mm,   frequency. After the multicavity composite design of GP
            respectively. This indicates that the multicavity design can   structures, the lower limit of the semi-absorption frequency


            Volume 4 Issue 1 (2025)                         18                             doi: 10.36922/msam.5737
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