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RECONSTRUCTION OF TOPOLOGY OPTIMIZED GEOMETRY WITH CASTING CONSTRAINTS IN A FEATURE-BASED APPROACH

Published online by Cambridge University Press:  19 June 2023

Johannes Mayer ,
Martin Denk  and
Sandro Wartzack
Johannes Mayer*
Affiliation:
Friedrich-Alexander-Universität Erlangen-Nürnberg, Engineering Design
Martin Denk
Affiliation:
Friedrich-Alexander-Universität Erlangen-Nürnberg, Engineering Design
Sandro Wartzack
Affiliation:
Friedrich-Alexander-Universität Erlangen-Nürnberg, Engineering Design
*
Mayer, Johannes, Friedrich-Alexander-Universität Erlangen-Nürnberg, Engineering Design, Germany, mayer@mfk.fau.de

Abstract

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Topology Optimization (TO) is an established method for the development of high strength and lightweight structural components. However, its results have to be geometrically revised to obtain a computational model that meets product development requirements. Design has to be in accordance with manufacturing constraints. Geometry reconstruction therefore still is a typically manual and tedious task, but increasingly supported by computational and automated approaches. In this paper, the inclusion of a casting constraint in an automated Medial Axis based reconstruction method is presented. Since the Medial Axis provides cross-section values by the computation of maximally inscribed spheres, this information is used for geometry reconstruction and even further for the purposeful adaption of the cross-section to match Heuver's circle method. Thereby, the directed solidification of molten material is considered. With a predefined feeder position, the demonstrator of a suspension control arm is used to show the application of the method. Resulting CAD-models are also structurally evaluated for their stiffness characteristics.

Keywords

Topology OptimizationMedial Axis TransformComputational design methodsComputer Aided Design (CAD)Lightweight design
Type
Article
Information
Proceedings of the Design Society , Volume 3: ICED23 , July 2023 , pp. 3015 - 3024
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
Copyright
The Author(s), 2023. Published by Cambridge University Press

References

Alves, C. G. and Siefkes, T. (2021), “Automatische Erstellung von Drahtgittermodellen aus Topologieoptimierungen”, Stuttgarter Symposium für Produktentwicklung SSP 2021, Stuttgart. https://doi.org/10.18419/opus-11478CrossRefGoogle Scholar
Amenta, N., Choi, S., Kolluri, R. K. (2001), “The Power Crust, Unions of Balls, and the Medial Axis Transform”. International Journal of Computational Geometry, Theory and Applications, Vol. 19 No. 2–3, pp. 127–153. https://doi.org/10.1016/S0925-7721(01)00017-7CrossRefGoogle Scholar
Amroune, A. and Cuillière, J.-C. (2022), “Automated Lofting-Based Reconstruction of CAD-Models from 3D Topology Optimization Results”. Computer-Aided Design, Vol. 145 https://doi.org/10.1016/j.cad.2021.103183CrossRefGoogle Scholar
Bendsøe, M. P. and Sigmund, O., (2004), Topology Optimization: Theory, Methods and Applications, Springer, Berlin.CrossRefGoogle Scholar
Blum, H. (1967), “A Transformation for Extracting New Descriptors of Shape. Models for the Perception of Speech and Visual Form”, pp. 362–380.Google Scholar
Cuillière, J.-C., François, V., Drouet, J.-M., (2013), “Towards the Integration of Topology Optimization into the CAD Process”, Computer Aided Design and Applications, Vol. 11 No. 2, pp. 120–140. https://doi.org/10.1080/16864360.2014.846067CrossRefGoogle Scholar
Cuillière, J.-C., François, V. and Nana, A. (2017), “Automatic construction of structural CAD models from 3D topology optimization”, Computer Aided Design and Applications, Vol. 15 No. 1, pp. 107–121. https://doi.org/10.1080/16864360.2017.1353726CrossRefGoogle Scholar
Denk, M., Rother, K. and Paetzold, K. (2020), “Fully Automated Subdivision Surface Parametrization for Topology Optimized Structures and Frame Structures using Euclidean Distance Transformation and Homotopic Thinning”, In: Proceedings of the Munich Symposium on Lightweight Design 2020. https://doi.org/10.1007/978-3-662-63143-0_2CrossRefGoogle Scholar
Denk, M., Rother, K. and Paetzold, K., (2021), “Subdivision Surface mid-surface reconstruction of topology optimization results and thin-walled shapes using surface skeletons”, International Conference on Engineering Design, ICED21, Gothenburg, Sweden. https://doi.org/10.1017/pds.2021.538CrossRefGoogle Scholar
Harzheim, L. (2014), Strukturoptimierung: Grundlagen und Anwendungen. Europa-Lehrmittel. ISBN 978-3-8085-5882-9.Google Scholar
Kresslein, J., Haghighi, P., Park, J., Ramnath, S., Sutradhar, A. and Shah, J. J. (2018), “Automated cross-sectional shape recovery of 3D branching structures from point cloud”, Journal of Computational Design and Engineering, Vol. 5 No. 3, pp. 368–378. https://doi.org/10.1016/j.jcde.2017.11.010CrossRefGoogle Scholar
Liu, S. et al. , (2018), “A realization method for transforming a topology optimization design into additive manufacturing structures, Engineering, Vol. 4. No. 2, https://doi.org/10.1016/j.eng.2017.09.002Google Scholar
Mayer, J. and Wartzack, S. (2023), “Computational Geometry Reconstruction from 3D Topology Optimization Results: A new Approach by the Medial Axis”, Computer-Aided Design and Applications, Vol. 20 No. 5, pp. 960–975. http://dx.doi.org/10.14733/cadaps.2023.960-975CrossRefGoogle Scholar
Mayer, J., Völkl, H. and Wartzack, S. (2022), “Feature-Based Reconstruction of Non-Beam-Like Topology Optimization Design Proposals in Boundary-Representation”, Proceedings of the 33rd Symposium Design for X, DFX2022. https://doi.org/10.35199/dfx2022.21CrossRefGoogle Scholar
Mayer, J. and Wartzack, S. (2020), “Investigation of surface skeletonization methods for reconstruction of topology optimized structures”, Proceedings of the 31st Symposium Design for X, DFX2020. https://doi.org/10.35199/dfx2020.12CrossRefGoogle Scholar
Miller, R. A., Dehua, C. and Yuming, M. (2003), “Qualitative reasoning for additional die casting applications”, Project report. https://doi.org/10.2172/812027CrossRefGoogle Scholar
Nana, A., Cuillière, J.-C. and François, V. (2017), “Automatic reconstruction of beam structures from 3D”, Computers & Structures, Vol. 189, pp. 62–82. https://doi.org/10.1016/j.compstruc.2017.04.018CrossRefGoogle Scholar
Ransing, R., Sood, M. and Pao, W. (2005), “Computer implementation of Heuvers' circle method for thermal optimisation in castings”, International Journal of Cast Metals Research, Vol. 18 No. 2, pp. 119–128. http://dx.doi.org/10.1179/136404605225022910CrossRefGoogle Scholar
Rozvany, G. (2009), “A critical review of established methods of structural topology optimization”, Structural and Multidisciplinary Optimization, Vol. 37 No. 3 pp. 217–232. https://doi.org/10.1007/s00158-007-0217-0CrossRefGoogle Scholar
Stangl, T. and Wartzack, S. (2015), “Feature based interpretation and reconstruction of structural topology optimization results”, Proceedings of the 20th International Conference on Engineering Design (ICED15). Milan, Italy: Weber, C.; Husung, S.; Cascini, G.; Cantamessa, M.; Marjanovic, D.; Graziosi, S.Google Scholar
Subedi, S., Verma, C. S. and Suresh, K. (2020), “A review of methods for the geometric post-processing of topology optimized models”, Computing and Information Science in Engineering, Vol. 20 No. 6, https://doi.org/10.1115/1.4047429Google Scholar
Tagliasacchi, A. et al. (2016), “3D Skeletons: A State-of-the-Art Report”, Computer Graphics Forum, Vol. 35 No. 2, https://doi.org/10.1111/cgf.12865CrossRefGoogle Scholar
Wlodawer, R. (1966), Directional solidification of steel castings, Pergamon Press, Oxford.Google Scholar
Yin, G., Xiao, X. and Cirak, F. (2020), “Topologically robust CAD model generation for structural optimisation”, Computer Methods in Applied Mechanics and Engineering, Vol. 369. https://doi.org/10.1016/j.cma.2020.113102CrossRefGoogle Scholar