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<export-example>
  <doc>
    <id>24982</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>363</pageFirst>
    <pageLast>369</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject_ref</type>
    <publisherName>Springer</publisherName>
    <publisherPlace>Cham</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2020-01-09</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computation of Stable Honeycomb Structures for Additive Manufacturing</title>
    <abstract language="eng">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.&#13;
&#13;
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.</abstract>
    <parentTitle language="eng">Operations Research Proceedings 2018, Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Brussels, Belgium, September 12-14, 2018</parentTitle>
    <identifier type="isbn">978-3-030-18499-5</identifier>
    <identifier type="doi">10.1007/978-3-030-18500-8_45</identifier>
    <identifier type="issn">978-3-030-18500-8</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="UBICOseries">Operations Research Proceedings book series</enrichment>
    <author>
      <firstName>Martin</firstName>
      <lastName>Bähr</lastName>
    </author>
    <editor>
      <firstName>Bernard</firstName>
      <lastName>Fortz</lastName>
    </editor>
    <submitter>
      <firstName>Annette</firstName>
      <lastName>Kallweit</lastName>
    </submitter>
    <author>
      <firstName>Georg</firstName>
      <lastName>Radow</lastName>
    </author>
    <editor>
      <firstName>Martine</firstName>
      <lastName>Labbé</lastName>
    </editor>
    <author>
      <firstName>Michael</firstName>
      <lastName>Breuß</lastName>
    </author>
    <author>
      <firstName>Armin</firstName>
      <lastName>Fügenschuh</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Additive manufacturing Centroidal, Voronoi tessellation, Energy minimisation, Geometric optimisation, Eikonal equation, Fast marching</value>
    </subject>
    <collection role="institutes" number="1303">FG Angewandte Mathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <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>
  <doc>
    <id>28655</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber>49</pageNumber>
    <edition/>
    <issue/>
    <volume/>
    <type>book</type>
    <publisherName/>
    <publisherPlace>Cottbus</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2022-03-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing</title>
    <identifier type="doi">10.26127/btuopen-5079</identifier>
    <enrichment key="UBICOseries">Cottbus Mathematical Preprints ;  10</enrichment>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <author>
      <firstName>Martin</firstName>
      <lastName>Bähr</lastName>
    </author>
    <submitter>
      <firstName>Annette</firstName>
      <lastName>Fischer</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>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
</export-example>
