<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>26560</id>
    <completedYear/>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>913</pageFirst>
    <pageLast>974</pageLast>
    <pageNumber/>
    <edition/>
    <issue>2</issue>
    <volume>22</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2020-12-18</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing</title>
    <abstract language="eng">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.</abstract>
    <parentTitle language="eng">Optimization and Engineering</parentTitle>
    <identifier type="doi">10.1007/s11081-020-09552-5</identifier>
    <identifier type="issn">1573-2924</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="Fprofil">1 Energiewende und Dekarbonisierung / Energy Transition and Decarbonisation</enrichment>
    <enrichment key="Fprofil">4 Künstliche Intelligenz und Sensorik / Artificial Intelligence and Sensor Technology</enrichment>
    <author>
      <firstName>Martin</firstName>
      <lastName>Bähr</lastName>
    </author>
    <submitter>
      <firstName>Annette</firstName>
      <lastName>Kallweit</lastName>
    </submitter>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Buhl</lastName>
    </author>
    <author>
      <firstName>Georg</firstName>
      <lastName>Radow</lastName>
    </author>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schmidt</lastName>
    </author>
    <author>
      <firstName>Markus</firstName>
      <lastName>Bambach</lastName>
    </author>
    <author>
      <firstName>Michael</firstName>
      <lastName>Breuß</lastName>
    </author>
    <author>
      <firstName>Armin</firstName>
      <lastName>Fügenschuh</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Mixed-integer linear programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Geometric optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Eikonal equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Heat transmission</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Additive manufacturing</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Centroidal Voronoi tesselation</value>
    </subject>
    <collection role="institutes" number="1303">FG Angewandte Mathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
    <collection role="institutes" number="3405">FG Hybride Fertigung</collection>
  </doc>
</export-example>
