Abstract
Bio-inspired architectural designs are often superior for their aesthetics and structural performance. Mimicking forms and loading states of a biological structure is complex as it requires a delicate balance among geometry, material properties, and interacting forces. The goal of this work is to design a biomimetic, ultra-lightweight, bending-active structure utilizing an informed integral design approach, and thereby constructing a self-supporting cellular pavilion. A bioinspired pavilion has been designed and constructed based on the natural cellular organization observed in Radiolaria, a deep-sea microorganism. The cellularity was mimicked via Voronoi tessellation in the structure of the pavilion, whose structural performance was evaluated using finite element analysis. Accordingly, funicular structure design strategies were studied with a focus on cellular distributions and concentration responding to areas with high structural stress. The computer aided custom designed pavilion was constructed with engineered, in-house fabricated fiberglass composite materials. The bending-active lightweight structure was also validated through material performance inquiry, a partial full-scale cellular assembly, and the full-size pavilion construction. This work contributes to the design approach comprising a bending-active form-finding schematic strategy to construct the elastic bending-active structure physically and simulate computationally within the context of nature inspired innovative lightweight structure design.
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References
Lienhard, J., Alpermann, H., Gengnagel, C., & Knippers, J. (2013). Active bending, a review on structures where bending is used as a self-formation process. International Journal of Space Structures, 28, 187–196. https://doi.org/10.1260/0266-3511.28.3-4.187
Riccardo, L. M. (2017) Bending-active plates: strategies for the induction of curvature through the means of elastic bending of plate-based structures. Institut für Tragkonstruktionen und Konstruktives Entwerfen, Universität Stuttgart, Stuttgart, Germany. https://elib.uni-stuttgart.de/handle/11682/9406.
Panetta, J., Konaković-Luković, M., Isvoranu, F., Bouleau, E., & Pauly, M. (2019). X-shells: a new class of deployable beam structures. ACM Transactions on Graphics, 38(4), 1–15. https://doi.org/10.1145/3306346.3323040
Laccone, F., Malomo, L., Pietroni, N., Cignoni, P., & Schork, T. (2021). Integrated computational framework for the design and fabrication of bending-active structures made from flat sheet material. Structures, 34, 979–994. https://doi.org/10.1016/j.istruc.2021.08.004
Knippers, J., Cremers, J., Gabler, M., & Lienhard, J. (2012). Construction manual for polymers+ membranes: materials, semi-finished products, form finding, design. Birkhäuser GmbH, Munich, Germany
Lienhard, J. (2014). Bending-active structures: form-finding strategies using elastic deformation in static and kinetic systems and the structural potentials therein. Institut für Tragkonstruktionen und Konstruktives Entwerfen, Universität Stuttgart, Stuttgart, Germany. https://doi.org/10.18419/opus-107
Iwamoto, L. (2013). Digital Fabrications: Architectural and Material Techniques. Princeton Architectural Press.
Schleicher, S. (2018). Potential of 3D printed joinery for bending-active structures. Proceedings of IASS Annual Symposia, IASS 2018 Boston Symposium: Construction-aware Structural Design, Boston, USA, 1–6.
Schleicher, S., Rastetter, A., Riccardo, L. M., Schönbrunner, A., Haberbosch, N., & Knippers, J. (2015). Form-finding and design potentials of bending-active plate structures. In M. R. Thomsen, M. Tamke, C. Gengnagel, B. Faircloth, & F. Scheurer (Eds.), Modelling Behaviour: Design Modelling Symposium (pp. 53–63). Springer.
Riccardo, L. M., Schleicher, S., & Knippers, J. (2016). Bending-active plates: form and structure. Advances in architectural geometry (pp. 170–187), vdf Hochschulverlag AG, Zurich, Switzerland.
Schleicher, S., & Riccardo, L. M. (2016). Bending-active plates: form-finding and form-conversion. https://ced.berkeley.edu/research/faculty-projects/bending-active-plates-form-finding-and-form-conversion.
Laccone, F., Malomo, L., Pérez, J., Pietroni, N., Ponchio, F., Bickel, B., & Cignoni, P. (2020). A bending-active twisted-arch plywood structure: Computational design and fabrication of the FlexMaps Pavilion. SN Applied Sciences, 2(9), 1–9. https://doi.org/10.1007/s42452-020-03305-w
Riccrdo, L. M., & Knippers, J. (2017). On the behaviour of bending-active plate structures. Proceedings of the IASS Annual Symposium 2017 “Interfaces: architecture, engineering, science, 2017 Hamburg, Germany, 1–9.
Riccardo, L. M., Fragkia, V., Längst, P., Lienhard, J., Noël, R., Šinke Baranovskaya, Y., Tamke, M., & Ramsgaard Thomsen, M. (2018). Isoropia: An encompassing approach for the design, analysis and form-finding of bending-active textile hybrids. Proceedings of IASS Annual Symposia, IASS 2018 Boston Symposium: Construction-aware Structural Design, Boston, USA, 1–8.
Brancart, S., Popovic L. O., De Laet, L., & De Temmerman, N. (2018). Bending-active reciprocal structures: geometric parameters and their stiffening effect. Proceedings of IASS Annual Symposia, IASS 2018 Boston Symposium: Construction-aware Structural Design, Boston, USA, 1–8.
Sonntag, D., Bechert, S., & Knippers, J. (2017). Biomimetic timber shells made of bending-active segments. International Journal of Space Structures, 32, 149–159.
Gengnagel, C., Hernández, E. L., & Bäumer, R. (2013). Natural-fibre-reinforced plastics in actively bent structures. Proceedings of the Institution of Civil Engineers - Construction Materials, 166(6), 365–377.
Bletzinger, K.-U., Firl, M., Linhard, J., & Wüchner, R. (2010). Optimal shapes of mechanically motivated surfaces. Computer Methods in Applied Mechanics and Engineering, 199, 324–333.
Adriaenssens, S., Block, P., Veenendaal, D., & Williams, C. (2014). Shell structures for architecture: Form finding and optimization. Routledge.
Harikumar, A., Bovolo, F., & Bruzzone, L. (2017). An internal crown geometric model for conifer species classification with high-density lidar data. IEEE Transactions on Geoscience and Remote Sensing, 55(5), 2924–2940. https://doi.org/10.1109/TGRS.2017.2656152
Larson, A. J., Cansler, C. A., Cowdery, S. G., Hiebert, S., Furniss, T. J., Swanson, M. E., & Lutz, J. A. (2016). Post-fire morel (Morchella) mushroom abundance, spatial structure, and harvest sustainability. Forest Ecology and Management, 377, 6–25.
Anderson, O. R. (2012). Radiolaria. Springer. https://doi.org/10.1007/978-1-4612-5536-9
Hollis, C. J. (1993). Latest cretaceous to late Paleocene radiolarian biostratigraphy: A new zonation from the New Zealand region. Marine Micropaleontology, 21(4), 295–327. https://doi.org/10.1007/s42452-020-03305-w
Morphocode. (2009). Radiolaria: microworld’s architecture. https://morphocode.com/radiolaria-microworld-architecture/
Liu, B., Faisal, T., Saft, C. L., Heath, J., Jaber, S. A., Dang, Q., Reaux, C., Welty, O., & Nguyen, S. (2019). Lightweight cellular structure: A formless fiberglass buildup utilize bending-active. Proceedings of the IASS Annual Symposium 2019 – Structural Membranes 2019 Form and Force, Barcelona, Spain, 1–5.
Duthie, L. (2014). Radiolaria shell structure. https://blogs.ubc.ca/bionictimber/2014/03/01/radiolaria-shell-structure/
Chiu, S. (1995). Aboav-Weaire’s and Lewis’ laws—A review. Materials characterization, 34(2), 149–165. https://doi.org/10.1016/1044-5803(94)00081-U
Lewis, F. T. (1931). A comparison between the mosaic of polygons in a film of artificial emulsion and the pattern of simple epithelium in surface view (cucumber epidermis and human amnion). The Anatomical Record, 50(3), 235–265.
Faisal, T. R., Hristozov, N., Rey, A. D., Western, T. L., & Pasini, D. (2012). Experimental determination of Philodendron melinonii and Arabidopsis thaliana tissue microstructure and geometric modeling via finite-edge centroidal Voronoi tessellation. Physical Review E, 86(3), 031921. https://doi.org/10.1103/PhysRevE.86.031921
Radiolaria: Biology. https://doi.org/10.1007/s42452-020-03305-w.
Okabe, A., Boots, B., Sugihara, K., & Chiu, S. N. (2009). Spatial tessellations: Concepts and applications of Voronoi diagrams. John Wiley & Sons.
Blackman, J., & Mulheran, P. (1996). Scaling behavior in submonolayer film growth: A one-dimensional model. Physical Review B, 54(16), 11681. https://doi.org/10.1103/PhysRevB.54.11681
Faisal, T. R., Hristozov, N., Western, T. L., Rey, A. D., & Pasini, D. (2014). Computational study of the elastic properties of Rheum rhabarbarum tissues via surrogate models of tissue geometry. Journal of Structural Biology, 185(3), 285–294. https://doi.org/10.1016/j.jsb.2014.01.012
González, D. L., Pimpinelli, A., & Einstein, T. (2011). Spacing distribution functions for the one-dimensional point-island model with irreversible attachment. Physical Review E, 84(1), 011601. https://doi.org/10.1103/PhysRevE.84.011601
Clifford, B., & McGee, W. (2013). Range: Matter Design. Matter Design Press.
Zhao, B., Chen, W., Hu, J., Chen, J., Qiu, Z., Zhou, J., & Gao, C. (2016). Mechanical properties of ETFE foils in form-developing of inflated cushion through flat-patterning. Construction and Building Materials, 111, 580–589.
Angelucci, G., & Mollaioli, F. (2018). Voronoi-like grid systems for tall buildings. Frontiers in Built Environment. https://doi.org/10.1007/s42452-020-03305-w
Su, Y., Wu, Y., Ji, W., & Sun, X. (2021). Computational morphogenesis of free-form grid structures with Voronoi diagram. Computer-Aided Civil and Infrastructure Engineering, 36(3), 318–330. https://doi.org/10.1111/mice.12621
Froli, M., & Laccone, F. (2017). Experimental static and dynamic tests on a large-scale free-form Voronoi grid shell mock-up in comparison with finite-element method results. International Journal of Advanced Structural Engineering, 9(3), 293–308. https://doi.org/10.1007/s40091-017-0166-9
Pietroni, N., Tonelli, D., Puppo, E., Froli, M., Scopigno, R., & Cignoni, P. (2015). Statics aware grid shells. Computer Graphics Forum, 34(2), 627–641. https://doi.org/10.1111/cgf.12590
ASTM D3039 (2017), Standard test method for tensile properties of polymer matrix composite materials, ASTM International.
Acknowledgements
The authors would like to thank the team of students who worked on this project: Quoc Dang, Jesse Heath, Sami Jaber, Son Nguyen, Catherine Reaux, Olivia Welty, and Professor Corey Saft, as well as the support of Dr. Charles Taylor, Dr. Jacob King and Yasmeen Qudsi on waterjet cutting. The authors acknowledge the support provided by the University of Louisiana at Lafayette, the College of the Arts, and by MAO.JIN.DAO Design.
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Liu, B., Faisal, T.R. Computational Design and Fabrication of a Bending-Active Structure Using Fiberglass: A Bioinspired Pavilion Mimicking Marine Microorganism Radiolaria. J Bionic Eng 19, 471–482 (2022). https://doi.org/10.1007/s42235-021-00150-4
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DOI: https://doi.org/10.1007/s42235-021-00150-4