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



            A                      B









            C                      D







                                                               Figure 9. Plot of the porosity of the SC-Truss lattices against the mean
                                                               percentage errors of the sound absorption coefficients obtained from
            E                      F                           experiments and numerical models.
                                                               properties with high accuracies. Therefore, this work is a
                                                               valuable contribution to both the acoustics and materials
                                                               community in determining appropriate expressions of the
                                                               correction factors so that researchers and manufacturers
                                                               may use the MMC model to predict the sound absorption
                                                               or transmission properties of the SC-Truss lattices without
            G                      H                           having to be too concerned about the correctness of the
                                                               correction factors in the model.

                                                               5. Conclusions
                                                               In this work, the acoustic properties of truss lattice
                                                               structures based on the SC crystal structure were
                                                               investigated. Many samples of SC-Truss lattices of varying
                                                               unit cell lengths and strut radii were fabricated using
                                                               vat  photopolymerization,  and  their  sound  absorption
            Figure 8. Plots of the sound absorption coefficients obtained from both   properties were measured using an impedance tube. It
            experimental  measurements  and  numerical  modeling  using  the  MMC   was shown that as the strut radius increases, the sound
            model. (A) and (B) correspond to the cases for D = 3 mm, (C) and (D)   absorption performances generally increase and become
            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.   more resonant-like. This work also investigated the use
            (A), (C), (E), and (G) correspond to the cases where d is the smallest   of both the DB model and the MMC model to model the
            amongst cases with the same D, while (B), (D), (F), and (H) correspond to   sound absorption performances of the SC-Truss lattices
            the cases where d is the largest amongst cases with the same D.  and compared them with the experimental results. It was
                                                               determined that the correction factors in the MMC model
            the edges of the holes were round or sharp, respectively,   may be calculated based on the empirical relation given
            which several prior works using Maa’s formulation set δ    in Equations XII and XIII, using present design geometry
                                                          2
            as 0.85 [21,30,31,35] . However, this work has shown that such   parameters. Furthermore, it was determined that the DB
            crude choices of  δ  and  δ  may not be effective in the   model was able to model the sound absorption coefficients
                                  2
                           1
            context of lattice structures due to the vast difference in   for lattice samples with porosities as low as 0.7, hence
            length scales and pore shapes. Rather, the values may be   seemingly stretching the limits of the validity of the model.
            related to the detailed geometry of the lattice unit cells and   For lattices with porosities lower than 0.7, the MMC model
            pores and must be determined on a case-by-case basis.   is a more appropriate acoustics approach than the DB
            For the SC-Truss, no research works have documented   model. This work will be of significant utility to materials
            the process of determining appropriate expressions for δ    researchers who are studying the acoustic properties
                                                          1
            and δ  for the MMC model to model the sound absorption   of novel porous materials, as well as manufacturers of
                2

            Volume 1 Issue 4 (2022)                         10                     https://doi.org/10.18063/msam.v1i4.22
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