Topology optimization considering material and geometric uncertainties using stochastic collocation methods

Boyan Stefanov Lazarov, Mattias Schevenels, Ole Sigmund

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The aim of this paper is to introduce the stochastic collocation methods in topology optimization for mechanical systems with material and geometric uncertainties. The random variations are modeled by a memory-less transformation of spatially varying Gaussian random fields which ensures their physical admissibility. The stochastic collocation method combined with the proposed material and geometry uncertainty models provides robust designs by utilizing already developed deterministic solvers. The computational cost is discussed in details and solutions to decrease it, like sparse grids and discretization refinement are proposed and demonstrated as well. The method is utilized in the design of compliant mechanisms.
    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Volume46
    Issue number4
    Pages (from-to)597-612
    ISSN1615-147X
    DOIs
    Publication statusPublished - 2012

    Keywords

    • Topology optimization
    • Robust design
    • Material uncertainties
    • Geometric uncertainties
    • Stochastic collocation
    • Sparse grids

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