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A Finite Element Approach for Trajectory Optimization in Wire-Arc Additive Manufacturing

In: Operations Research Proceedings 2021

Author

Listed:
  • Johannes Schmidt

    (Brandenburg University of Technology Cottbus-Senftenberg)

  • Johannes Buhl

    (Brandenburg University of Technology Cottbus-Senftenberg)

  • Armin Fügenschuh

    (Brandenburg University of Technology Cottbus-Senftenberg)

Abstract

In wire-arc additive manufacturing (WAAM), the desired workpiece is built layer-wise 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.

Suggested Citation

  • Johannes Schmidt & Johannes Buhl & Armin Fügenschuh, 2022. "A Finite Element Approach for Trajectory Optimization in Wire-Arc Additive Manufacturing," Lecture Notes in Operations Research, in: Norbert Trautmann & Mario Gnägi (ed.), Operations Research Proceedings 2021, pages 325-330, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-08623-6_48
    DOI: 10.1007/978-3-031-08623-6_48
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