Abstract
The rapid development of Additive Manufacturing (AM) enables a high geometrical freedom for the production of lightweight cellular structures. Through the newly gained possibilities in individualization and complexity in the areas of design and construction, optimization and generation of the initial design becomes even more important. We discuss a mixed-integer linear program (MIP) to generate a three-dimensional construction of cellular structures for a static case of loading. Additionally, based on the optimized structures, an automated construction in a CAD system allowing a numerically simulation of nonlinear material behaviour is presented. The model is planned as a support tool for engineers.
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Notes
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The calculation were executed on a workstation with an Intel Xeon E5-2637 v3 (3.5 GHz) and 128 GB RAM using CPLEX Version 12.6.1. The CAD construction (Inventor 2017 Pro) as well as the FEM simulation (Ansys 18.2) was performed on a workstation with an Intel Core i7-4710HQ (2.5 GHz), NVIDIA GeForce GTX 860M (4096 MB) and 16 GB RAM.
References
Chu, C., Graf, G., Rosen, D.W.: Design for additive manufacturing of cellular structures. Comput. Aided Des. Appl. 5(5), 686–696 (2008)
Brackett, D., Ashcroft, I., Hague, R.: Topology optimization for additive manufacturing. In: Proceedings of the Solid Freeform Fabrication Symposium, Austin, pp. 348–362 (2011)
Reintjes, C., Hartisch, M., Lorenz, U.: Lattice structure design with linear optimization for additive manufacturing as an initial design in the field of generative design. In: Proceedings 2017 of the Conference on Operations Research, pp. 451–457. Springer, Berlin (2017)
Gally, T., Gehb, C.M., Kolvenbach, P., Kuttich, A., Pfetsch, M.E., Ulbrich, S.: Robust truss topology design with beam elements via mixed integer nonlinear semidefinite programming. In: Uncertainty in Mechanical Engineering II, pp. 229–238. Trans Tech Publications (2015)
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Reintjes, C., Hartisch, M., Lorenz, U. (2019). Design and Optimization for Additive Manufacturing of Cellular Structures Using Linear Optimization. In: Fortz, B., Labbé, M. (eds) Operations Research Proceedings 2018. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-18500-8_46
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DOI: https://doi.org/10.1007/978-3-030-18500-8_46
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