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Materials Science in Additive Manufacturing               Acoustic performances of SC lattices fabricated by DLP


            calculated with  δ  and δ  calculated from the proposed   same strut length. The mean and standard deviations of the
                          1
                                2
            models.  The  mean  absolute  error  of  the  absorption   absorption coefficients are also plotted in Figure 5.
            coefficients over the entire frequency range was obtained   Overall, for fixed strut lengths, the average sound
            for each case. The calculated values of tube side length d ,   absorption performance of the  SC-Truss lattice  was
                                                        tube
            tube thickness  t , cavity layer thickness  l , and the   enhanced when the strut radius was increased. The
                                                 cav
                          tube
            perforation ratio ε  are tabulated in Supplementary Text 2   mean absorption coefficients generally increased
            in the Supplementary File.                         with increasing strut radius. The variations in sound
            3. Results                                         absorption  coefficients  became  more  fluctuating  with
                                                               increasing strut radius with fixed strut length. This can
            3.1. Manufacturing of samples and dimensional      also be observed from the higher standard deviations of
            analysis                                           the absorption coefficients with increasing strut radii.
            Representative macroscopic and microscopic sample   In addition, when the curves showed the peak and valley
            images are presented in Figure 4A and 4B, respectively. The   characteristics, increasing the strut radius resulted
            rest of the macroscopic and microscopic sample images are   in the reduced frequency of the first peak absorption
            presented in Supplementary Texts 3 and 4, respectively. The   coefficient and a higher coefficient value at the first
            strut lengths and radii of the samples were measured under   peak frequency.
            the digital microscope using pixel measurement. At least
            three measurements of both the strut lengths and radii   A               B
            were taken, and the arithmetic averages  were obtained.
            The percentage error in dimensions was calculated using
            Equation XI below.
               Percentageerror


               MeasureddimensionDesigndimension  100% (XI)    C                     D
                         Designdimeension

              The design dimensions, actual dimensions, and
            dimension error percentages are tabulated in Table 2. It is
            obvious that all the actual dimension values were close to the
            designed values the error percentages were approximately
            0%–2% and several cases were about 3%–4%. In general,   E                F
            the percentage dimension errors were acceptable and hence
            the design dimensions may be used in subsequent analytical
            analysis without a need for error corrections.
            3.2. Sound absorption coefficients of SC-Truss lattice
            structures
            The sound absorption coefficients of all the SC-Truss   G                H
            lattices are plotted in Figure 5. Each of the plots of sound
            frequencies with sound absorption coefficients was of the

            A                         B




                                                               Figure  5. Plots of the sound absorption coefficients obtained from
                                                               experimental measurements. (A) and (B) correspond to the cases for
                                                               D = 3 mm, (C) and (D) correspond to the cases for D = 5 mm, (E) and
                                                               (F) correspond to the cases for D = 6 mm, and (G) and (H) correspond to
                                                               the cases for D = 7.5 mm. (A), (C), (E), and (G) correspond to the cases
                                                               where d is the smallest among cases with the same D, while (B), (D), (F),
            Figure 4. (A) Macroscopic sample image. (B) Microscopic sample image.   and (H) correspond to the cases where d is the largest amongst cases with
            Abbreviations: D, strut length; R, strut radius.   the same D.


            Volume 1 Issue 4 (2022)                         6                      https://doi.org/10.18063/msam.v1i4.22
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