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In wire-arc additive manufacturing, a wire is molten by an electrical or laser arc and deposited droplet-by-droplet to construct the desired workpiece, given as a set of two-dimensional layers. The weld source can move freely over a substrate plate, processing each layer, but there is also the possibility of moving without welding. A primary reason for stress inside the material is the large thermal gradient caused by the weld source, resulting in lower product quality. Thus, it is desirable to control the temperature of the workpiece during the process. One way of its optimization is the trajectory of the weld source. We consider the problem of finding a trajectory of the moving weld source for a single layer of an arbitrary workpiece that maximizes the quality of the part and derive a novel mixed-integer PDE-constrained model, including the calculation of a detailed temperature distribution measuring the overall quality. The resulting optimization problem is linearized and solved using the state-of-the-art numerical solver IBM CPLEX. Its performance is examined by several computational studies.
Steel cladding structures such as sandwich panels can replace bracing systems to provide further stability to individual structural members such as beams and columns. Previous researches studied the stabilizing effects of sandwich panels on the whole structure at ambient temperatures. It was shown that considerable savings could be achieved in the case of using steel cladding systems. In the STABFI (Steel Cladding Systems for Stabilisation of Steel Buildings in Fire) project, the primary objective was to study the stabilizing behavior of cladding systems in the fire. The current thesis is a part of the STABFI project focusing on the bending and translational stiffness of sandwich panels at ambient and elevated temperatures.
The thesis consists of two separate parts, the bending and translational performance of sandwich panels at ambient and elevated temperatures. Sandwich panels are typically composites of two thin steel sheets and a core of higher thickness and lower density. They are valued for their excellent thermal properties. This research employs two different materials, including mineral wool (MW) and Polyisocyanurate (PIR), as a core.
In the first part of the thesis, the bending tests carried out in Prague are described. The experimental results are presented in the first phase of this part. A finite element (FE) model is developed to validate simulations with experimental results, and then a comprehensive parametric study is carried out. During the parametric study, different factors such as panel thickness, width, span, the thickness of steel sheets, and the fire's influence on panels' mechanical behavior are investigated. Moreover, the analytical solutions obtained from Eurocodes (EN 14509, 2013) at ambient temperature are employed to predict the bending stiffness values. The analytical solutions are then developed to apply at elevated temperatures by incorporating the reduction factors into the equations. Eventually, the accuracy of suggested analytical equations is compared with numerical results.
In the second part of the thesis, after presenting the translational tests which also conducted in Prague and validation of FE models, an extensive parametric study on the decisive factors such as the steel sheet thicknesses, screw diameters and temperature effects on the sandwich panel connections behavior is performed. The parametric study shows how each parameter affects the shear resistance and stiffness of sandwich panel connections. Furthermore, the deterioration of shear performance at elevated temperatures is evaluated. The analytical solutions achieved from the ECCS manual are used to estimate the shear stiffness and resistance of connections at ambient temperatures. At elevated temperatures, the equations are developed to anticipate the abovementioned values in the fire case. Finally, the safety and accuracy of proposed analytical solutions are assessed.
Since the beginning of its development in the 1950s, mixed integer programming (MIP) has been used for a variety of practical application problems, such as sequence optimization. Exact solution techniques for MIPs, most prominently branch-and-cut techniques, have the advantage (compared to heuristics such as genetic algorithms) that they can generate solutions with optimality certificates. The novel process of additive manufacturing opens up a further perspective for their use. With the two common techniques, Wire Arc Additive Manufacturing (WAAM) and Laser Powder Bed Fusion (LPBD), the sequence in which a given component geometry must be manufactured can be planned. In particular, the heat transfer within the component must be taken into account here, since excessive temperature gradients can lead to internal stresses and warpage after cooling. In order to integrate the temperature, heat transfer models (heat conduction, heat radiation) are integrated into a sequencing model. This leads to the problem class of MIPDECO: MIPs with partial differential equations (PDEs) as further constraints. We present these model approaches for both manufacturing techniques and carry out test calculations for sample geometries in order to demonstrate the feasibility of the approach.
In wire-arc additive manufacturing (WAAM), the desired workpiece is built layerwise by a moving heat source depositing droplets of molten wire on a substrate plate. To reduce material accumulations, the trajectory of the weld source should be continuous, but transit moves without welding, called deadheading, are possible. The enormous heat of the weld source causes large temperature gradients, leading to a strain distribution in the welded material which can lead even to cracks. In summary, it can be concluded that the temperature gradient reduce the quality of the workpiece. We consider the problem of finding a trajectory of the weld source with minimal temperature deviation from a given target temperature for one layer of a workpiece with welding segments broader than the width of the weld pool. The temperature distribution is modeled using the finite element method. We formulate this problem as a mixed-integer linear programming model and demonstrate its solvability by a standard mixed-integer solver.