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Engineering Optimization in Design Processes pp 35–50Cite as

Some Approaches for Shape Finding in Optimal Structural Design

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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 63))

Abstract

Shape optimization by moving boundaries is now a well established technology, which enters commercial programs. Following the philosophy of Schmit [1], Fleury [2] and many other contributions, the movable shape problem is described by means of a blending function, which is governed by a comparatively small number of variables. This property disposes the approach favourable to mathematical progamming (MP), which can handle all types of objectives and constraints very easily. However since we have to preselect the position of the moving boundary as well as the type of the blending function, the process of finding an optimal shape is quite predetermined. We are for instance not able to create automatically voids.

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References

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Author information

Authors and Affiliations

  1. Institute for Computer Applications, University of Stuttgart, Federal Republic of Germany

    H. P. Mlejnek, U. Jehle & R. Schirrmacher

Authors
  1. H. P. Mlejnek
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  2. U. Jehle
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  3. R. Schirrmacher
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Editor information

Editors and Affiliations

  1. Institute of Mechanics and Control Engineering, University of Siegen, D-5900, Siegen, Germany

    Hans A. Eschenauer

  2. Karlsruhe Nuclear Research Center, Institute of Materials and Solid State Research IV, D-7500, Karlsruhe, Germany

    Claus Mattheck

  3. Institute of Mechanical Engineering, Aalborg University, DK-9220, Aalborg, Denmark

    Niels Olhoff

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© 1991 Springer-Verlag Berlin, Heidelberg

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Mlejnek, H.P., Jehle, U., Schirrmacher, R. (1991). Some Approaches for Shape Finding in Optimal Structural Design. In: Eschenauer, H.A., Mattheck, C., Olhoff, N. (eds) Engineering Optimization in Design Processes. Lecture Notes in Engineering, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84397-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-84397-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53589-8

  • Online ISBN: 978-3-642-84397-6

  • eBook Packages: Springer Book Archive

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