On the relationship between optimum structural topologies and geometries

U Kirsch

    Research output: Contribution to journalArticlepeer-review

    35 Citations (Scopus)


    The relationship between two optimal design problems is investigated: (a) The fixed geometry problem, where the topology is optimized for a predetermined geometry. (b) The fixed topology problem, where the geometry is optimized for a given topology. Assuming approximate linear programming formulations, conditions of optimality are derived and geometries of multiple optimal topologies are studied. Some considerations related to a general design procedure for optimization of topology, geometry and cross-sections are discussed. © 1990 Springer-Verlag.

    Original languageEnglish
    Pages (from-to)39-45
    Number of pages7
    JournalStructural Optimization
    Issue number1
    Publication statusPublished - Mar 1990


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