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Computation of Stable Honeycomb Structures for Additive Manufacturing

In: Operations Research Proceedings 2018

Author

Listed:
  • Martin Bähr

    (Brandenburg University of Technology)

  • Georg Radow

    (Brandenburg University of Technology)

  • Michael Breuß

    (Brandenburg University of Technology)

  • Armin Fügenschuh

    (Brandenburg University of Technology)

Abstract

In certain additive manufacturing processes of industrial interest, the task arises to build up structures layer-wise in a purely vertical manner. The question arises how to construct such a structure in a convenient way so that it is structurally as stable as possible. In this paper, 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 realisations. For computing the incorporated Voronoi tessellation we consider the use of a Delaunay triangulation or the Eikonal equation. As a main point of our paper, we give a comparison of these two methods. We show that one can make use of the arising graph of the honeycomb structure as input for a specific routing scheme that enhances printability when the printing material stays soft for some time during the printing process.

Suggested Citation

  • Martin Bähr & Georg Radow & Michael Breuß & Armin Fügenschuh, 2019. "Computation of Stable Honeycomb Structures for Additive Manufacturing," Operations Research Proceedings, in: Bernard Fortz & Martine Labbé (ed.), Operations Research Proceedings 2018, pages 363-369, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-18500-8_45
    DOI: 10.1007/978-3-030-18500-8_45
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