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Automatisiertes Design von Stabwerken, Bauteilen und Materialien

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • J. Zowe

    (Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik)

  • W. Achtziger

    (Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik)

  • M. Kočvara

    (Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik)

  • H. Hörnlein

    (Daimler-Benz Aerospace AG (DASA), Postfach 801160)

  • J. Oberndorfer

    (Scientific Software Consulting)

Abstract

The paper deals with automated design of engineering structures. A mathematical model for maximum stiffness truss designs is briefly outlined. This model is first treated by an approach leading to a non-convex large-scaled optimization problem. It is shown how this can be rewritten as a convex problem. The second approach is based on non-smooth optimization techniques. We close with a brief introduction to the optimization of continuum structures. In this case the question of optimal material dominates the design problem. Discretizing the model we end up with optimization problems similar to the truss situation considered first. Several numerical examples support our claim of effectivity of the approaches pre sented.

Suggested Citation

  • J. Zowe & W. Achtziger & M. Kočvara & H. Hörnlein & J. Oberndorfer, 1997. "Automatisiertes Design von Stabwerken, Bauteilen und Materialien," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 525-536, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_43
    DOI: 10.1007/978-3-642-60550-5_43
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