Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing
| Autor: | Markus Bambach, Johannes Buhl, Armin Fügenschuh, Martin Bähr, Johannes Schmidt, Georg Radow, Michael Breuß |
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| Rok vydání: | 2020 |
| Předmět: |
Centroidal Voronoi tesselation
Geometric optimization 0209 industrial biotechnology Control and Optimization Linear programming Additive manufacturing Computer science Aerospace Engineering Boundary (topology) 02 engineering and technology Topology 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Mixed-integer linear programming Heat transmission Eikonal equation Electrical and Electronic Engineering Civil and Structural Engineering Delaunay triangulation Mechanical Engineering Process (computing) 020207 software engineering Trajectory optimization Thermal conduction Honeycomb structure Software |
| Zdroj: | Optimization and Engineering, 22 (2) |
| ISSN: | 1573-2924 1389-4420 |
| Popis: | 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. Optimization and Engineering, 22 (2) ISSN:1389-4420 ISSN:1573-2924 |
| Databáze: | OpenAIRE |
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