BTU overview
Faculty 1
Chair of Engineering Mathematics and Numerical Optimization Prof. Dr. rer. nat. habil. Armin Fügenschuh

MALEDIF

In powder-bed additive manufacturing, a laser beam melts a thin layer of metallic powder, which solidifies during cooling and bonds to the already processed solid material. After finishing one layer, the surface is covered with a new thin powder layer, and the melting process iterates, until an entire three-dimensional object emerges. Due to the uneven heat distribution created by the laser-beam, the object is usually under stress during the production, which can lead to significant warping after cooling. Here, we study whether the order in which each layer is processed can be used to reduce warping in the finished product. We use techniques from mixed integer programming and machine learning to find optimized printing orders.
These results are tested and analyzed with our project partners from engineering. This work is part of a larger joint effort in cooperation with partners from various mathematics departments of BTU Cottbus - Senftenberg. In this context we are also evaluating whether other production parameters apart from warping can be optimized. For example, the group for "Stochastics and their applications" examines the transition between material phases in order to simulated material properties in the finished product. On the other hand, the Chair of Applied Mathematics uses techniques from image recognition to segment the objects into discrete sections which can be processed independently.

Partners

Markus Bambach (BTU Cottbus - Senftenberg und ETH Zürich)
Michael Breuß (BTU Cottbus - Senftenberg)
Carsten Hartmann (BTU Cottbus - Senftenberg)

Finanzierung

Funding

EFRE

Related talks

  • Mathematical Modeling and Optimization for Powder-Based Additive Manufacturing, ESAFORM 2020, 04.05.2020
  • Reducing Warping in Powder-Bed Additive Manufacturing, 7. TOR-Workshop, 08.03.2021
  • Reducing Warping in Powder-Bed Additive Manufacturing, Workshop Optimierung, 25.03.2021

Related publications

  • Bambach, M., Fügenschuh, A., Buhl, J., Jensch, F., & Schmidt, J. (2020). Mathematical Modeling and Optimization for Powder-Based Additive Manufacturing. Procedia Manufacturing, 47, 1159-1163.