Abstract
On account of the high efficiency of discrete digital design when comparing with 3d-printing in the background of additive manufacture, this essay is going to introduce a hybrid high-efficiency method that is combined with BESO and SIMP for solving topology optimization in discrete digital design. The reason is that both BESO in Karamba3D and SIMP in Millipede have some disadvantages and cannot optimize the structure in an extremely efficient way in discrete design. Based on the project TRANSFOAMER (Chen Ran, Chen Zhilin, Shao Gefan, Wei Na, 2016–2017), RC4, Bartlett School of Architecture, loads of tests will be conducted to demonstrate how hybrid method is operated and why it is more efficient than each single method. Finally, the method will be applied to the project to design some productions.
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Nomenclature: FR = Filter radius; ER = Evolution rate; V* = Volume fraction constraint; λα = Sensitivity of element α; λth add = Element sensitivity threshold value (adding); λth del = Element sensitivity threshold value (deleting); ΔSE = change in strain energy; tol = Convergence tolerance, le-5; V* = Volume fraction constraint.
References
Aremu, A., Ashcroft, I., Hague, R., Wildman, R.: Suitability of SIMP and BESO Topology Optimization Algorithm for Additive Manufacture. PHD. Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, pp. 679–692 (2010)
Beghini, L., Beghini, A., Katz, N., Baker, W., Paulino, G.: Connecting architecture and engineering through structural topology optimization. Eng. Struct. 59, 716–726 (2014)
Bendsøe, M., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71(2), 197–224 (1988)
Bendsøe, M.: Optimal shape design as a material distribution problem. 1st ed. [Lyngby]: Danmarks Tekniske Højskole. Matematisk Institut (1989)
Buchanan, R.: Wicked problems in design thinking. Des. Issues 8(2), 5 (1992)
Carpo, M.: Breaking the curve. ArtForum 52(6), 168–173 (2014)
Gershenfeld, N., Carney, M., Jenett, B., Calisch, S., Wilson, S.: Macro-fabrication with digital materials: robotic assembly. In: Architectural Design: Material Synthesis: Fusing the Physical and the Computational, vol. 85, no. 5, pp. 122–7 (2015)
Goodman, N.: “Analogues and digits.” Languages of art: an approach to a theory of symbols, pp. 159–164. Hackett Publishing, Indianapolis, IN (1968)
Huang, X., Xie, Y.M.: Convergent and mesh-independent solutions for the bidirectional evolutionary structural optimization method. Finite Elem. Anal. Des. 43, 11 (2007)
Kohler, G.: ROK-Rippmann Oesterle Knauss GmbH|Projects|The Programmed Wall. Rok-office.com. http://www.rok-office.com/projects/040-programmed-wall/
Marcus Vitruvius Pollio BC.14. The ten books on architecture. 1st edn.
Martinez, J.: A note on the theoretical convergence properties of the SIMP method. Struct. Multidiscip. Optim. 29(4), 319–323 (2004)
Moritz, H., Orlinski, A., Clemens, P., Matthew, T., Robert, V., Christoph, Z.: BESO for karamba. Clemens Preisinger, Vienna (2017)
Querin, O., Steven, G., Xie, Y.: Evolutionary structural optimisation (ESO) using a bidirectional algorithm. Eng. Comput. 15(8), 1031–1048 (1998)
Razvan, C.: Overview of Structural Topology Optimization Methods for Plane and Solid Structures. Annals of the Oradea University. Fascicle of Management and Technological Engineering, vol. XXIII (XIII), 2014/3(3) (2014)
Retsin, G.: Discrete assembly and digital materials in architecture. In: Proceedings of ECAADE 34, FABRICATION|Robotics: Design & Assembling, Vol. 1 (Aug 2016), pp. 143–151 (2015)
Retsin, G., Gracia, M., Soler, V.: Discrete computation for additive manufacturing. Fabricate 2017, 178–183 (2017)
Rietz, A.: Sufficiency of a finite exponent in SIMP (power law) methods. Struct. Multidiscip. Optim. 21(2), 159–163 (2001)
Rittel, H.: Second generation design methods. In: Interview in Design Methods Group, 5th Anniversary Report, DMG Occasional Paper 1, 1972, pp. 5–10. Reprinted in Cross, N. (ed.) Developments in Design Methodology, pp. 317–327. Wiley, Chichester (1984)
Saddiqi, Z.A.: Concrete Structures, 2nd edn. Help Civil Engineering Publisher, Lahore (1997)
Sanchez, J.: “polyomino-Reconsidering Serial Repetition in Combinatorics”. In: ACADIA 14: Design Agency, 23--25 Oct. 2014, Los Angeles, ACADIA/Riverside Architectural Press, p. 91–100 (2014)
Sigmund, O.: A 99-line topology optimization code written in Matlab. Struct. Multidiscip. Optim. 21(2), 120–127 (2001)
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Shao, G. (2020). Comparison of BESO and SIMP to Do Structural Topology Optimization in Discrete Digital Design, and then Combine Them into a Hybrid Method. In: Yuan, P., Xie, Y., Yao, J., Yan, C. (eds) Proceedings of the 2019 DigitalFUTURES . CDRF 2019. Springer, Singapore. https://doi.org/10.1007/978-981-13-8153-9_18
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