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A graph-based parameterization concept for global laminate optimization

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Abstract

A new graph-based parameterization concept aimed at the global optimization of laminated structures by the means of evolutionary algorithms and finite element analysis is introduced. The motivation to develop this novel parameterization concept is twofold. First, the entire design space is accessible to optimi zation down to the smallest entity, which is a single finite element, and secondly, this concept guarantees greatest flexibility in terms of laminate layer shape and placement. The finite element mesh of a structure is represented as a mathematical graph. Substructures of this graph form fiber reinforced and possibly overlapping patches and are affiliated to virtual graph vertices representing their properties. Adapted genetic variation operators are directly applied on this graph. The method allows for concurrent optimization of number, size, shape, and position of the patches and an arbitrary number of material related properties for each of them. The novel concept overcomes the limits of traditional geometry-based approaches, as it is able to represent almost arbitrary patch shapes even on curved surfaces. Two numerical examples demonstrate the efficiency of the method.

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Authors and Affiliations

  1. ETH Zurich, Centre of Structure Technologies, Leonhardstrasse 27, CH-8092, Zurich, Switzerland

    M. Giger, D. Keller & P. Ermanni

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  1. M. Giger
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  2. D. Keller
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  3. P. Ermanni
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Correspondence to M. Giger.

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Giger, M., Keller, D. & Ermanni, P. A graph-based parameterization concept for global laminate optimization. Struct Multidisc Optim 36, 289–305 (2008). https://doi.org/10.1007/s00158-007-0165-8

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  • DOI: https://doi.org/10.1007/s00158-007-0165-8

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