Robust multiphase topology optimization accounting for manufacturing uncertainty via stochastic collocation
| Autor: | Vahid Keshavarzzadeh, Kai A. James |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
Control and Optimization Collocation Computer science Linear elasticity Topology optimization 0211 other engineering and technologies 02 engineering and technology Computer Graphics and Computer-Aided Design Computer Science Applications Quadrature (mathematics) symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Control and Systems Engineering Convergence (routing) symbols Gaussian quadrature Engineering design process Software 021106 design practice & management Interpolation |
| Zdroj: | Structural and Multidisciplinary Optimization. 60:2461-2476 |
| ISSN: | 1615-1488 1615-147X |
| DOI: | 10.1007/s00158-019-02333-4 |
| Popis: | This paper presents a computational framework for multimaterial topology optimization under uncertainty. We combine stochastic collocation with design sensitivity analysis to facilitate robust design optimization. The presence of uncertainty is motivated by the induced scatter in the mechanical properties of candidate materials in the additive manufacturing process. The effective elastic modulus in each finite element is obtained by an interpolation scheme which is parameterized with three distinct elastic moduli corresponding to the available design materials. The parametrization enables the SIMP-style penalization of intermediate material properties, thus ensuring convergence to a discrete manufacturable design. We consider independent random variables for the elastic modulus of different materials and generate designs that minimize the variability in the performance, namely structural compliance. We use a newly developed quadrature rule, designed quadrature, to compute statistical moments with reduced computational cost. We show our approach on numerical benchmark problems of linear elastic continua where we demonstrate the improved performance of robust designs compared with deterministic designs. We provide the MATLAB implementation of our approach. |
| Databáze: | OpenAIRE |
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