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Materials Science in Additive Manufacturing                                Base shape generation for HAM



            illustrated in Figure 12. This step is intended to evaluate   4.1. Case study 1
            and search for the optimal base shape. Since the material   The model described in this case study was derived from a
            waste rate determined by volume could directly impact   study on cold spraying process . Using this method, the
                                                                                        [48]
            the AM and NAM processing time, we only focused on   authors built the whole model from zero volume, causing
            the volume of material in this research. To facilitate the   wastage of many materials. After analyzing the  CAD
            searching process, an objective function concerning waste   model, we learn that a quite large volume can be fabricated
            material volume is defined in Equation V:          by traditional method easily and only very small complex
              min: F  = ω  (f  − f  ∩ f ) + ω  (f  − f  ∩ fi)  (V)  structure, like the four feet, can be fabricated by iterative or
                             p
                    r
                                       p
                                          p
                          i
                                i
                       1
                                     2
            where  F  is the material use rate,  fi is the base shape   sequential AM and NAM processes. Hence, we generated
                                                               a base shape with an aim to save material and time for this
                   r
            (Figure  13A), and  f  is the volume of the finished part   case. The CAD model of this case is shown in Figure 14.
                            p
            volume. Figure 13B shows the base shape after machining   It is a reproduction of the example CAD model used in
            from the casting shown in  Figure  13A.  Figure  13C   Lynch et al. .
                                                                        [48]
            shows the subparts which need to be added through
            AM processing (CS spraying AM module is used as      Based on the CAD model of the bracket, the voxelization
            example in this research) to the qualified base shape. ω    and generation of skeleton were operated in accordance
                                                          1
            and  ω  are the weights  assigned  to the cost of AM and   with the above-mentioned method in MATLAB, as
                 2
            NAM processing, respectively, in terms of subtractive   illustrated in Figure 15A and B. A modified skeleton was
            manufacturing processes and materials. Here,  ω  and   adopted to replace the original one. The original subparts
                                                      1
            ω  are related in an equation, that is, ω  + ω  = 1. In this   can be decided by the branches based on the joint points,
                                                2
                                            1
             2
            research, the weights were set at 0.95 and 0.05, respectively.   similarly with the tree model. The subparts of the bracket
            This objective function could be directly used as fitness   are shown in Figure 16.
            function in the PSO. In this research, we defined two main   The selected branch combination after GA calculation
            evaluation criteria for illustration and general application.   is shown in  Figure  18A. The following optimization
            In industrial application, different specific criteria can be   is conducted by the mentioned PSO algorithm with
            defined according to HAM processing constraints and   consideration of the above-mentioned constraints and
            other objectives related to time, cost, and quality.  material use rate. The optimization procedure is depicted
                                                               in  Figure  17, which shows that the optimal solution is
            4. Case studies                                    found after 32 iterations.
            In this section, we use two examples manufactured by a   To simplify the whole process, circle was used as cross-
            cold spraying-based HAM platform in different complexity   section in this case study, and ball shapes were used as
            levels to demonstrate the proposed method.         joints to connect the adjacent branches, as illustrated in
            Table 1. Parameters for Genetic Algorithm (GA) in Galapagos editor
             Option         Max. stagnant      Population      Initial boost    Maintain (%)      Inbreeding (%)
            Description         50                50               2                5                 75



                          A                        B                             C














                      Figure 13. (A) Base shape of the tree structure; (B) qualified base shape after machining; and (C) cold-sprayed subparts.


            Volume 2 Issue 4 (2023)                         9                       https://doi.org/10.36922/msam.2103
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