TY - GEN A1 - Fügenschuh, Armin A1 - Buhl, Johannes A1 - Bambach, Markus ED - Fortz, Bernard ED - Labbé, Martine T1 - Trajectory Optimization for Wire-Arc Additive Manufacturing T2 - Operations Research Proceedings 2018 ; selected papers of the Annual International Conference of the German Operations Research Society (GOR), Brussels, Belgium, September 12-14, 2018 Y1 - 2019 SN - 978-3-030-18499-5 SN - 978-3-030-18500-8 U6 - https://doi.org/10.1007/978-3-030-18500-8 SP - 331 EP - 337 PB - Springer CY - Cham ER - TY - GEN A1 - Bambach, Markus A1 - Fügenschuh, Armin A1 - Buhl, Johannes A1 - Jensch, Felix A1 - Schmidt, Johannes ED - Bambach, Markus T1 - Mathematical Modeling and Optimization for Powder-Based Additive Manufacturing T2 - Procedia Manufacturing; Part of Special issue: 23rd International Conference on Material Forming Y1 - 2020 U6 - https://doi.org/10.1016/j.promfg.2020.04.158 SN - 2351-9789 VL - 47 SP - 1159 EP - 1163 ER - TY - GEN A1 - Bähr, Martin A1 - Buhl, Johannes A1 - Radow, Georg A1 - Schmidt, Johannes A1 - Bambach, Markus A1 - Breuß, Michael A1 - Fügenschuh, Armin T1 - Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing T2 - Optimization and Engineering N2 - We consider two mathematical problems that are connected and occur in the layer-wise production process of a workpiece using wire-arc additive manufacturing. As the first task, we consider the automatic construction of a honeycomb structure, given the boundary of a shape of interest. In doing this, we employ Lloyd’s algorithm in two different realizations. For computing the incorporated Voronoi tesselation we consider the use of a Delaunay triangulation or alternatively, the eikonal equation. We compare and modify these approaches with the aim of combining their respective advantages. Then in the second task, to find an optimal tool path guaranteeing minimal production time and high quality of the workpiece, a mixed-integer linear programming problem is derived. The model takes thermal conduction and radiation during the process into account and aims to minimize temperature gradients inside the material. Its solvability for standard mixed-integer solvers is demonstrated on several test-instances. The results are compared with manufactured workpieces. KW - Mixed-integer linear programming KW - Geometric optimization KW - Eikonal equation KW - Heat transmission KW - Additive manufacturing KW - Centroidal Voronoi tesselation Y1 - 2021 U6 - https://doi.org/10.1007/s11081-020-09552-5 SN - 1573-2924 VL - 22 IS - 2 SP - 913 EP - 974 ER -