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M. Bruggi ¹, H. Ismail^1,2 and J. Lógó²

¹Politecnico di Milano, Department of Civil and Environmental Engineering, Milano, Italy
²Budapest University of Technology and Economics, Department of Structural Mechanics, Budapest, Hungary

doi:10.4203/ccc.3.5.6

M. Bruggi, H. Ismail, J. Lógó, "An application of multiscale topology optimization with loading uncertainty", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 5.6, 2022, doi:10.4203/ccc.3.5.6

Keywords: topology optimization, multi-scale optimization, additive manufacturing, robust design, homogenization, mathematical programming.

Abstract

A multi-scale topology optimization approach is investigated that grades the main geometrical feature of a porous microstructure within a design domain. Instead of using deterministic optimization, an efficient probabilistic framework is developed to account for uncertainty in the loading amplitude. Numerical homogenization is employed to derive the material schemes that interpolate the elastic properties of the period microstructure. A displacement-constrained minimum volume problem is implemented to control pointwise the displacement field and is endowed with an additional enforcement governing the minimum amount of graded porous material. The formulation is used to simultaneously define i) boundaries and ii) internal arrangements of circular holes with graded radius, for optimal 2D components (any object subject to loads and constraints, e.g. mechanical parts, structural components, elements of the building envelope, design pieces, industrial design objects...) Numerical tests are show investigating multi-scale layouts that are inherently robust with respect to loading uncertainty.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 3 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and J. Kruis Paper 5.6 An application of multiscale topology optimization with loading uncertainty M. Bruggi ¹, H. Ismail^1,2 and J. Lógó² ¹Politecnico di Milano, Department of Civil and Environmental Engineering, Milano, Italy ²Budapest University of Technology and Economics, Department of Structural Mechanics, Budapest, Hungary doi:10.4203/ccc.3.5.6 Full Bibliographic Reference for this paper M. Bruggi, H. Ismail, J. Lógó, "An application of multiscale topology optimization with loading uncertainty", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 5.6, 2022, doi:10.4203/ccc.3.5.6 Keywords: topology optimization, multi-scale optimization, additive manufacturing, robust design, homogenization, mathematical programming. Abstract A multi-scale topology optimization approach is investigated that grades the main geometrical feature of a porous microstructure within a design domain. Instead of using deterministic optimization, an efficient probabilistic framework is developed to account for uncertainty in the loading amplitude. Numerical homogenization is employed to derive the material schemes that interpolate the elastic properties of the period microstructure. A displacement-constrained minimum volume problem is implemented to control pointwise the displacement field and is endowed with an additional enforcement governing the minimum amount of graded porous material. The formulation is used to simultaneously define i) boundaries and ii) internal arrangements of circular holes with graded radius, for optimal 2D components (any object subject to loads and constraints, e.g. mechanical parts, structural components, elements of the building envelope, design pieces, industrial design objects...) Numerical tests are show investigating multi-scale layouts that are inherently robust with respect to loading uncertainty. download the full-text of this paper (PDF, 8 pages, 276 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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