Computation of Stable Honeycomb Structures for Additive Manufacturing

Martin Bähr (), Georg Radow (), Michael Breuß () and Armin Fügenschuh ()
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Martin Bähr: Brandenburg University of Technology
Georg Radow: Brandenburg University of Technology
Michael Breuß: Brandenburg University of Technology
Armin Fügenschuh: Brandenburg University of Technology

A chapter in Operations Research Proceedings 2018, 2019, pp 363-369 from Springer

Abstract: 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.

Keywords: Additive manufacturing; Centroidal Voronoi tessellation; Energy minimisation; Geometric optimisation; Eikonal equation; Fast marching (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-030-18500-8_45

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DOI: 10.1007/978-3-030-18500-8_45

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