Form finding of shells by structural optimization |
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Authors: | K. -U. Bletzinger E. Ramm |
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Affiliation: | (1) Present address: Institut für Baustatik, University of Stuttgart, Pfaffenwaldring 7, Postfach 801140, D-7000 Stuttgart 80, Germany |
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Abstract: | Shell structures are known to be extremely parameter sensitive; even small changes of the initial design, e.g., to the shape of the shell, may drastically change the internal stress state. The ideal case for concrete shells is a pure membrane stress state in compression for all loading conditions. Since in many realistic situations the solution for an optimal shape is not obvious, the need for form finding methods is evident. This paper presents computational methods of structural optimization as a general tool for the form finding of shells. The procedure as a synthesis of design modelling, structural analysis and mathematical optimization is discussed with special emphasis on the modelling stage. Several examples show the power of the approach and the similarities to experimental solutions. |
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Keywords: | Computer aided geometrical design Form finding Shells Structural optimization |
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