3.1 Design and Stiffness Assessment of Flat Rein- forcement Bead Geometry
For the experiment, optimal process parameters were determined by combining welding current and welding speed, and were subsequently categorized into low, moderate, and high heat input conditions.
Table 3 presents the sequence of welding current and welding speed values corresponding to each condition, while
Fig. 3 illustrates the representative weld bead profiles and cross-sectional views for each heat input category. The normal weld bead displayed a uniform width across the top surface and maintained a consistent cross-sectional geometry. The absence of surface imperfections confirmed that the welding process had been performed under optimal and defect-free conditions. Under low heat input conditions, humping beads formed as the molten metal failed to flow forward smoothly beneath the arc, instead pooling at the rear and solidifying in repeated humps along the weld path. These characteristics are generally attributed to inadequate heat input or unstable arc pressure
11). At elevated heat input levels, excessive penetration occurred, causing the molten metal to reach and bulge out from the underside of the lower plate as a result of excessive thermal input. To identify the optimal bead shape among acceptable formation conditions, flexural stiffness was evaluated using Equations (2) and (3), where
E denotes the elastic modulus,
I is the second moment of area,
b represents the bead width, and
h signifies the bead height. Under each condition, three reinforcement beads, each 200 mm in length, were fabricated in parallel. The bending test was then performed three times for each sample, and the average flexural stiffness and maximum bending load values derived from these tests are summarized in
Table 4.
Table 3
Welding current and speed combinations used to evaluate bead formation quality under various deposition conditions
|
No. |
Welding current (A) |
Welding speed (cm/min) |
Weld bead quality |
|
1 |
40 |
20 |
Humping bead |
|
2 |
40 |
30 |
Humping bead |
|
3 |
60 |
20 |
Normal bead |
|
4 |
60 |
30 |
Normal bead |
|
5 |
60 |
40 |
Humping bead |
|
6 |
80 |
20 |
Excessive penetration |
|
7 |
80 |
30 |
Normal bead |
|
8 |
80 |
40 |
Normal bead |
|
9 |
80 |
50 |
Normal bead |
|
10 |
80 |
60 |
Humping bead |
Fig. 3
Types of bead shape at different welding condition (a) Normal bead, (b) Humping bead, (c) Excessive penetration
Table 4
Comparative analysis of bead geometry and resulting flexural performance under varying welding conditions
|
No |
Weld condition [A, cm/min] |
Bead width [mm] |
Bead height [mm] |
Bead area [mm2] |
Ratio [Bead widthBead height]
|
Flexural stiffness [GPa] |
Peak l oad [kN] |
|
1 |
80, 30 |
4.65 |
2.26 |
5.2 |
0.48 |
0.085 |
6.14 |
|
2 |
60, 20 |
3.61 |
2.36 |
4.2 |
0.65 |
0.08 |
5.59 |
|
3 |
80, 50 |
2.97 |
1.9 |
2.8 |
0.64 |
0.061 |
4.52 |
|
4 |
60, 30 |
2.39 |
2.0 |
2.4 |
0.83 |
0.066 |
4.46 |
The comparison of bending loads across welding conditions (
Table 3) revealed superior load-bearing capacity at a current of 80 A and a welding speed of 30 cm/min. The bead formed at the optimal welding parameters (80 A current, 30 cm/min welding speed) demonstrated a greater cross-sectional area than those formed under other conditions, indicating enhanced load distribution performance. Flexural stiffness,
K, is generally defined by Equation (2) as the product of the elastic modulus (
E) and the second moment of area (
I):
where, the second moment of area I is calculated based on the bead width (b) and height (h), assuming a rectangular cross-section, as shown in Equation (3):
Thus, Given constant the elastic modulus (
E),[qls771] increasing the bead height (
h) or width (
b), or expanding the cross-sectional area, leads to a higher second moment of area (
I), which in turn enhances the structure’s resistance to bending. Given these geometric benefits, the combination of 80 A welding current and a speed of 30 cm/min is identified as the most effective condition, providing an optimal balance between mechanical strength and process reliability in bead formation
12).
This study introduced a redesigned flat reinforcement bead based on the optimal welding parameters, 80 A current and 30 cm/min speed, and conducted a comparative analysis of its structural characteristics against the traditional GR geometry. The GR geometry used for comparison was originally proposed by Josten et al. (2020). As illustrated in
Fig. 4(a), it consists of horizontally aligned long reinforcement beads, with shorter vertical beads interspersed between them
6). This geometry is limited by the excessive number of reinforcement beads, which complicates the fabrication process and prolongs the welding process. Accordingly, a new two-layer reinforcement bead pattern (TLR) was developed to maintain equivalent structural rigidity while reducing the total number of beads required. Bending stiffness was theoretically shown-via Equations (2) and (3)-to depend on the cross-sectional geometry. Based on this relationship, the TLR shape illustrated in
Fig. 4(b) was developed and its performance assessed through bending experiments. The bending test results are presented in
Fig. 5(a), showing that the NR specimen, which had no reinforcement, exhibited the lowest maximum load at around 2.6 kN. The GR shape exhibited a maximum bending load of 9.28 kN, representing an increase of 60% over the NR specimen. The TLR shape further improved performance, reaching 10.38 kN, which is-an additional increase of about 11.8% compared to the GR shape. This result is attributed to the differences in load distribution and structural continuity associated with each reinforcement geometry.
Fig. 5(b) illustrates the GR-shaped specimen, and
Fig. 5(c) shows the TLR-shaped specimen. The distinct differences in structural response are clearly visible through the geometries of the reinforcement beads and the corresponding deformation patterns exhibited during testing. Notably, the TLR shape maintains continuous connections between the reinforcement beads, which facilitates broader load distribution and enhances structural stability by preventing buckling under stress. Conversely, the GR geometry exhibited limited spacing between vertical beads and inadequate continuity at the joints, which resulted in stress localization and premature buckling under increased loading. Thus, the TLR shape introduced in this study is considered a highly effective reinforcement strategy, offering enhanced bending stiffness with fewer bead applications, thereby improving both structural performance and manufacturing efficiency.
Fig. 4
Schematic diagrams of reinforcement bead patterns, (a) GR pattern with alternating long horizontal and short vertical beads5), (b) Proposed TLR pattern designed for enhanced stiffness with reduced bead count
Fig. 5
(a) Bending test results of NR, GR, and TLR patterns, (b) Reinforced sample with GR pattern, (c) Reinforced sample with TLR pattern
The TLR design boosts flexural stiffness by enlarging the second moment of area under bending loads applied orthogonally to the weld orientation. Conversely, when the bending load aligns with the welding direction, the beads function independently with minimal structural integration. This results in localized stress accumulation and a decrease in the overall effective bending stiffness. To overcome these limitations and enhance both stress distribution and load transfer efficiency across multiple directions, the SR shape was developed with a curved path and a symmetrical structure on both sides. The design enables effective stress distribution along a curved path and enhances structural cohesion by maintaining uninterrupted connectivity through the central region.
Fig. 6 presents the development and production process of the SR-shaped reinforcement bead, where images (a) to (c) show the step-by-step deposition of beads following a curved path. Under optimal welding conditions (80 A current and 30 cm/min speed), three parallel reinforcement beads were first deposited as shown in
Fig. 6(a). Then, curved “S”-shaped beads were deposited on both sides, as demonstrated in
Fig. 6(b) and (c). Subsequently, the final shape was completed by enhancing the continuity between adjacent beads, achieved by increasing the current to 87 A in the central area to fuse the joints, as shown in
Fig. 6(d).
Fig. 7 presents a comparison of the bending test outcomes for the TLR and SR reinforcement patterns. The TLR pattern demonstrates a maximum bending load of 10.4 kN, with effective load distribution and enhanced structural rigidity achieved through strong cross-sectional connectivity between the beads. In contrast, the SR pattern achieved the highest load-bearing capacity between the two designs, reaching a maximum bending load of 13.9 kN. The applied load continued to rise consistently up to a displacement of about 33 mm, indicating stable and sustained load transfer throughout the process. This outcome is attributed to the smoothly curved and continuous bead path, which effectively eliminates abrupt geometric transitions along the stress flow path and ensures even distribution of stress across the entire structure. Such a characteristic proves the structural efficiency of the bead design based on a curved geometry.
Fig. 6
Schematic illustration of the fabrication process for the SR shaped reinforcement bead, (a–c) sequential deposition steps, (d) final sample with completed bead
Fig. 7
Bending test results of TLR, and SR shape
3.2 Revised Gusset Design for Improved Corner Reinforcement
The gusset shape employed in the previous study (Josten et al., 2020) involves depositing a total of 16 layers of reinforcement beads, making the manufacturing process less practical because of the high number of layers involved
6). Therefore, this study focused on refining the shape to minimize production time and enhance the ease of the manufacturing process. To reduce irregularities in bead shape and discontinuities between layers that occur during multi-layer deposition, a flattening treatment was applied to the edge area prior to the deposition of reinforcement beads. The surface control method is recognized as an essential technique for improving shape accuracy in the WAAM process, while a multi-bead overlapping approach that minimizes interference between beads has also been shown to achieve similar improvements
13,14). To examine the influence of deposition direction on shape stability, Bead- On-Plate (BOP) welding was conducted prior to the deposition of the gusset structure. As shown in
Fig. 8, continuous deposition in a single direction led to a progressive increase in bead shape inconsistency and interlayer discontinuity as the number of layers grew. The underlying cause is the repeated accumulation of arc strikes at the starting point of each layer, where the intense heat and localized current from arc ignition are concentrated on the same spot. This leads to shape instability, such as excessive melting, bead widening, and the development of step-like formations. A prior study (Shukla et al., 2020) also demonstrated that in the CMT-based WAAM process, depositing multiple layers along the same path results in a gradual increase in bead width during the initial stages, along with a decline in shape uniformity. These findings further highlight the detrimental effects of arc strike accumulation on the overall shape quality
15). In contrast, applying a cross-directional deposition approach dispersed the starting points, thereby mitigating the accumulation effect and leading to a more consistent bead shape and enhanced deposition stability.
Fig. 8
Bead shape according to stacking direction, (a) repeated stacking from the same start point (Fixed-start stacking) (b) stacking with alternating start points from left and right sides (Alternating-start stacking)
A weaving deposition technique was applied in the edge region to enhance initial deposition stability. The weaving technique generates broad, low-profile beads and has proven effective in minimizing surface irregularities resulting from gravitational effects and heat accumulation, particularly within the WAAM process. Earlier studies (Bultman & Saldaña, 2023; Ji-Young Shin, 2024) demonstrated that adjusting the amplitude and frequency of the weaving path leads to improved geometric accuracy and smoother surfaces. Likewise, Aldalur et al. (2020) highlighted that layering methods using triangular or vibrational weaving contribute to stabilizing the initial base shape and ensuring consistent shape alignment in the following layers
15-17). To fine- tune the weaving parameters, amplitude (1.5 to 3.0 mm) and frequency (2.0 and 5.0 Hz) were varied, and BOP tests were carried out with a welding current of 80 A and a welding speed of 30 cm/min.
Fig. 9 presents the cross-sectional profile and a conceptual illustration of the reinforcement bead under different weaving conditions. The definitions of valley depth and pitch distance are provided together, accompanied by a visual comparison of shape variations resulting from different amplitude and frequency combinations. The experiment revealed a notable reduction in pitch distance with increasing frequency, alongside a tendency for the bead surface area to grow as the amplitude was raised. This trend is quantitatively detailed in
Table 5 as well as
Fig. 10(a) and 10(b). As frequency rises, valley depth remains relatively stable, whereas pitch distance decreases substantially, resulting in an overall increase in the valley depth-to-pitch distance ratio. After thoroughly evaluating cross-sectional shape stability and deposition efficiency, an amplitude of 1.5 mm and a frequency of 5 Hz were identified as the optimal conditions. Using the determined weaving parameters, a redesigned gusset was created to improve deposition efficiency over the previous gusset configuration. The new design incorporates a combination of the cross- deposition method and the weaving process, following a path where the left side is deposited first, then connected and welded to the right side. During the initial four layers, flattening is achieved through weaving, after which deposition continues using the 3-point line method.
Fig. 11(a) illustrates the stacking sequence and a summary of the process. A total of eight deposition layers were used to successfully form a geometric structure resembling the original gusset design. The final fabricated sample is presented in
Fig. 11(b), and the total production time was found to be reduced by around 66.6% compared to the previous design.
Fig. 9
Process condition window for weaving deposition: effects of amplitude and frequency on bead surface morphology, including valley depth and pitch distance
Table 5
Results of cross-section observation according to weaving variable
|
Frequency (Hz) |
Amplitude [mm] |
Pitch distance [mm] |
Valley depth [mm] |
Ratio [Valley depthPitch distance]
|
Bead width [mm] |
|
2 |
1.5 |
3.52 |
0.33 |
0.09 |
6.20 |
|
2 |
3.47 |
0.68 |
0.20 |
6.74 |
|
2.5 |
3.43 |
0.86 |
0.25 |
7.46 |
|
3 |
3.42 |
1.21 |
0.35 |
8.54 |
|
3 |
1.5 |
2.82 |
0.32 |
0.11 |
6.08 |
|
2 |
2.76 |
0.50 |
0.18 |
6.60 |
|
2.5 |
2.60 |
0.69 |
0.27 |
7.76 |
|
3 |
2.55 |
0.62 |
0.24 |
9.82 |
|
4 |
1.5 |
2.16 |
0.23 |
0.11 |
6.44 |
|
2 |
2.15 |
0.61 |
0.28 |
7.26 |
|
2.5 |
2.16 |
0.49 |
0.23 |
9.46 |
|
3 |
2.23 |
0.50 |
0.22 |
11.06 |
|
5 |
1.5 |
2.03 |
0.38 |
0.19 |
7.18 |
|
2 |
2.00 |
0.43 |
0.21 |
9.2 |
|
2.5 |
1.92 |
0.44 |
0.23 |
11.52 |
Fig. 10
Effect of frequency and amplitude on bead geometry, (a) Variation in pitch distance with changing frequency at a constant amplitude, (b) Variation in valley depth-to-pitch distance ratio with changing amplitude at a constant frequency
Fig. 11
Schematic diagram of GUSSET with weaving deposition, (a) Stepwise weaving process for initial flattening; Step 1: left-side deposition, Step 2: right-side deposition, Step 3: flattening completed, (b) Final sample after 8-layer stacking
3.3 Deformation Analysis of SR-Shaped Reinforce- ment Beads and New Gusset Using Surface Profile Measurements
The prior deposition experiments on the new SR- shaped reinforcement bead and new gusset served as preliminary tests to optimize process conditions and understand the mechanisms ensuring shape stability using flat specimens. The next step involves assessing potential local deformation when applied to actual vehicle components and quantitatively evaluating their practical applicability. In this study, the two reinforcement designs were implemented on the front side member, which is an actual automotive component, and 3D surface measurements were conducted. Using PolyWorks software, the shapes before and after bead deposition were aligned, allowing for a detailed quantitative analysis of the resulting deformation (
Fig. 12). According to a previous study (Ninshu Ma et al., 2020), metal expands when heated during welding and contracts upon cooling. When this expansion and contraction are unevenly constrained, it results in residual stresses and localized deformations
18). Specifically, when jig restraints are applied, overall deformation is limited; however, stress tends to concentrate in certain areas, potentially causing localized adverse deformation. Indeed, the evaluation showed that the right SR-shaped bead welded under jig restraint experienced suppressed cooling due to thermal expansion, resulting in an internal shrinkage strain of -1.587 mm. In contrast, the unconstrained SR-shaped bead on the upper left area of the component, where clamping was not possible, exhibited unrestricted expansion and contraction, leading to an outward deformation measuring +1.552 mm. It indicates that the shape expands outward freely, without any restriction on thermal expansion. Despite being based on the same design, the deformations under contrasting constraint conditions were nearly symmetrical at +1.552 mm and -1.587 mm, indicating that the new SR-shaped reinforcement bead can be precisely and uniformly implemented on real curved parts. Addition- ally, only slight deformations of +0.002 mm and -0.005 mm were observed in areas beyond the weld zone, verifying that the base material of the new gusset underwent minimal distortion due to the heat input reduction provided by the weaving process.
Fig. 12
Analysis of front side member reinforcement welding using 3D scanning equipment, (a) Before welding, (b) After welding with deformation distribution, (c) Actual part with applied SB and GUSSET reinforcements