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Materials Science in Additive Manufacturing                             TPMS for perfect sound absorption


































            Figure 3. Design model of graded primitive structures with different thicknesses
            Abbreviation: GP: Graded primitive


















            Figure 4. Design model of multicavity-GP-Ⅰ and multicavity-GP-Ⅱ
            Abbreviation: GP: Graded primitive

            coefficients at 500, 630, 800, 1000, 1250, 1600, 2000, 2500,   Table 4. The processing parameter for laser powder bed
            3150, 4000, 5000, and 6300 Hz.                     fusion

            2.4. Acoustic band structure                       Laser       Scanning    Layer thickness   Scanning
                                                               power (W)  speed (mm/s)    (mm)      space (mm)
            The Bloch wave vector k of TPMS is applied to analyze the   200  1200          0.03        0.09
            band gap of the acoustic metamaterial and is considered a
            complex (Equation VII); k’ is the real component, and k”   Table 5. Chemical composition of AlSi7Mg powder
            is the imaginary component of the Bloch wave vector k.
            The imaginary part represents the amplitude attenuation   Element  Al     Si   Mg   Ti   Fe   Zn
            characteristics of a wave. When k” = 0, it indicates that the   Composition (wt. %)  Balance  7.01  0.56  0.15  0.073  0.015
            wave is a free-traveling wave, and the phase changes along
            the wave propagation direction, whereas the amplitude   curve of the imaginary part k” of the Bloch wave vectwith
            remains unchanged. When k” ≠ 0, it indicates that the wave   frequency, the bandgap range of the acoustic metamaterial
            is attenuated. Therefore, by analyzing the changes in the   can be determined.


            Volume 4 Issue 1 (2025)                         6                              doi: 10.36922/msam.5737
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