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Materials Science in Additive Manufacturing                         Bead geometry prediction in laser-arc AM



            bead dimensions is both intricate and non-linear, calling   chemical compositions of the substrate and the wire are
            for further intensive study. Because individual regression   provided in Table 3.
            models are constrained by their respective hypothesis
            spaces, no single model can guarantee an optimal result;   2.2. Experiment design
            therefore, ensemble schemes that combine multiple   Within the WAAM process, the weld bead dimensions are
            models  are generally employed to enhance prediction   strongly affected by the choice of process parameters. An
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            accuracy. Put  differently,  simple  ML or  neural-network   increase in wire feed speed leads to greater weld bead width
            approaches alone may not suffice, whereas more elaborate   and height.  A larger arc length adjustment broadens the
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            ensemble architectures are able to offer superior predictive   bead width, whereas a higher pulse correction decreases
                                                                       35
            accuracy. In addition, incorporating explainable-analysis   its height.  Within LAHAM, an optimal laser power level
            methods enables researchers to grasp data features more   supports geometric uniformity, whereas overly high power
            thoroughly and to probe the effect of process parameters   causes size variability.  Accordingly, this study concentrates
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            on bead-geometry predictions. These analytic approaches,   on the influence of wire feed speed (v ), welding speed (v ),
                                                                                                            t
                                                                                            w
            once validated, support investigators in deepening their   arc length correction (l), pulse correction (f), and laser
            data understanding and hence in assessing more precisely   power (p) on weld bead width (W) and height (H).
            the impact of process parameters on predictive outcomes.  In Figure 3, the full factorial design with three factors
              Herein, we present a particle swarm optimization   at three levels and the Box–Behnken design are depicted
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            (PSO)-based ensemble predication (PSO-EP) that     schematically. The Box–Behnken design,  as opposed
            combines four base models – Gaussian process regression   to the full factorial design, prevents extreme condition
            (GPR), SVR, artificial neural networks (ANN), and   combinations and efficiently captures second-order effects
            extreme learning machines (ELM) – with PSO employed to   with a reduced number of experiments, and was therefore
            calibrate their respective weights. The predictive capability   employed in this work. First, this study followed the process
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            of PSO-EP is benchmarked against single base learners and   window recommended in reference  and employed single-
            alternative ensemble methods, and the results verify the   factor screening experiments to define the valid ranges of
            superiority of the proposed approach. In addition, based   each influencing factor, encoding their upper and lower
            on Shapley theory, an interpretability study is carried out   bounds as +1 and –1, respectively; the selected key factors
            in  which visual  tools, including  feature-importance and   and their symbols are detailed in Table 4. Table 5 displays
            sample-distribution charts, afford deeper insights into how   the 46 coded experimental conditions and outcomes.
            individual features and samples sway the predictive results.  Table 6 comprises 20 randomly sampled process parameter
                                                               configurations  and  associated  weld  geometry  metrics,
            2. Materials and methods                           used as the validation and test datasets. To assess the
                                                               reproducibility of the experimental dataset, six repeated
            2.1. Experimental setup                            trials were conducted under the central-point parameter
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            The system utilized in this study is depicted in Figure 1.   configuration, and the coefficient of variation (CV)  was
            In the system, the composite heat source is composed   employed for evaluation. The analysis revealed CV values
            of a welding machine (Fronius CMT Advanced 4000R,   of 3.25% for bead width and 2.74% for bead height –
            Austria) and a fiber laser system (Raycus RFL-C3300W,   both markedly lower than the commonly accepted 10%
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            China). The fiber laser system consists of a laser source, an   benchmark – providing strong evidence of high data
            output head, and a cooling unit, with the relative position   consistency. As illustrated in Figure 4, all the weld beads
            of the laser output head and the welding gun is illustrated   were well-formed and defect-free. The overall experimental
            in Figure 1. Line structured light (Gocator 2430, Canada)   count was determined based on Equation I.
            was utilized to obtain the point cloud data of the weld bead   N = 2q(q−1)+C                   (I)
            morphology. The procedure of laser-scanning the actual         0
            weld bead morphology and generating the point cloud is   where q is the number of experimental parameters, and
            depicted in Figure 2. The motion platform used is a CNC   C  denotes the number of repetitions needed to minimize
                                                                0
            machine tool (Fana FA2818HG, China). The deposition   errors arising from environmental and human factors. In
            material  is  ER2319  aluminum  alloy  (1.2  mm  diameter),   this paper, q is 5, and C  is 6.
                                                                                 0
            and the base material is 2219 aluminum alloy. During the
            manufacturing process, the welding mode was cold metal   2.3. Particle swarm optimization-based ensemble
            transfer pulse advance (CMT-PADV), with the laser CMT   prediction
            process parameters listed in Table 2. Before the experiment,   In the proposed ensemble forecasting framework, the
            the substrate was processed and cleaned with acetone. The   four base learners – ANN, GPR, SVR, and ELM – are first


            Volume 4 Issue 3 (2025)                         3                         doi: 10.36922/MSAM025220036
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