Technical Papers
Nov 28, 2019

Optimization Strategies for Grid Shells: The Role of Joints

Publication: Journal of Architectural Engineering
Volume 26, Issue 1

Abstract

Structural optimization techniques are being usefully employed for the design of large grid shell structures. Indeed, thanks to the use of innovative strategies and mathematical algorithms, it is possible to combine different design parameters and structural requirements in a global process finalized to obtain solutions optimized for structural and architectural aspects. In the case of grid shells, a relevant role is played by the joints, which particularly influence both the local and the global stability. Nevertheless, few studies specifically concerning the role of joints in the optimization of grid shell structures are currently available. The aim of the study here presented is to carry out efficient optimization strategies for grid shell structures that specifically account for the role of joints. In particular, considering the possibility of having joint configurations able to offer different constraint conditions for members, the proposed strategies combine the common sizing optimization technique of members with the possibility to vary the configuration of joints. As shown in the paper, the proposed optimization strategies allow obtaining lighter solutions with respect to the ones obtained by only using the sizing optimization technique, particularly when global stability represents the governing phenomenon.

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References

Adriaenssens, S. M. L., and M. R. Barnes. 2001. “Tensegrity spline beam and grid shell structures.” Eng. Struct. 23 (1): 29–36. https://doi.org/10.1016/S0141-0296(00)00019-5.
Bulenda, T., and J. Knippers. 2001. “Stability of grid shells.” Comput. Struct. 79 (12): 1161–1174. https://doi.org/10.1016/S0045-7949(01)00011-6.
Day, A. S. 1965. “An introduction to dynamic relaxation.” Engineer 219: 218–221.
De Matteis, G., G. Brando, and F. M. Mazzolani. 2011. “Experimental and numerical analysis of pure aluminium for dynamic applications.” Appl. Mech. Mater. 82 (Jul): 136–141. https://doi.org/10.4028/www.scientific.net/AMM.82.136.
Dimcic, M. 2011. “Structural optimization of grid shells based on genetic algorithms.” Ph.D. thesis, Institute of Building Structures and Structural Design, Univ. of Stuttgart.
Dini, M., G. Estrada, M. Froli, and N. Baldassini. 2013. “Form-finding and buckling optimisation of gridshells using genetic algorithms.” In Proc., IASS Annual Symp., edited by J. B. Obrębski and R. Tarczewski. Wroclam, Poland: Wroclam Univ. of Techology.
Fan, F., H. Ma, Z. Cao, and S. Shen. 2011. “A new classification system for the joints used in lattice shells.” Thin Walled Struct. 49 (12): 1544–1553. https://doi.org/10.1016/j.tws.2011.08.002.
Formisano, A., and F. M. Mazzolani. 2008. “Numerical investigation of a new aluminium alloy reticular space structure.” In Proc. 9th Int. Conf. on Computational Structures Technology. Stirlingshire, UK: Civil-Comp Press.
Grande, E., M. Imbimbo, and V. Tomei. 2016. “A two-stage approach for the design of grid shells.” In Proc., 3rd Int. Conf. on Structures and Architecture, ICSA 2016, edited by P. J. S. Cruz, 551–557. Boca Raton, FL: CRC Press.
Grande, E., M. Imbimbo, and V. Tomei. 2018a. “Role of global buckling in the optimization process of grid shells: Design strategies.” Eng. Struct. 156 (Feb): 260–270. https://doi.org/10.1016/j.engstruct.2017.11.049.
Grande, E., M. Imbimbo, and V. Tomei. 2018b. “Structural optimization of grid shells: Design parameters and combined strategies.” J. Archit. Eng. 24 (1): 04017027. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000286.
Linkwitz, K., and D. Veenendaal. 2014. “Nonlinear force density method: Constraints of force and geometry.” In Shell structures for architecture: Form finding and optimization, 143–155. London: Routledge.
Pone, S., S. Colabella, B. Parenti, D. Lancia, A. Fiore, B. D’Amico, F. Portioli, R. Landolfo, M. D’Aniello, and C. Ceraldi. 2013. “Construction and form-finding of a post-formed timber grid-shell.” In Proc., 2nd Int. Conf. on Structures and Architecture: Concepts, Applications and Challenges, ICSA 2013, edited by P. J. S. Cruz, 245–252. Boca Raton, FL: CRC Press.
Richardson, J. N., S. Adriaenssens, R. Filomeno Coelho, and P. Bouillard. 2013. “Coupled form-finding and grid optimization approach for single layer grid shells.” Eng. Struct. 52 (Jul): 230–239. https://doi.org/10.1016/j.engstruct.2013.02.017.
Saremi, S., S. Mirjalili, and A. Lewis. 2017. “Grasshopper optimisation algorithm: Theory and application.” Adv. Eng. Software 105 (Mar): 30–47. https://doi.org/10.1016/j.advengsoft.2017.01.004.
Schek, H. J. 1974. “The force density method for form finding and computation of general networks.” Comput. Methods Appl. Mech. Eng. 3 (1): 115–134. https://doi.org/10.1016/0045-7825(74)90045-0.
Van der Linden, L. P. L. 2015. “Innovative joints for gridshells.” M.Sc. thesis, Delft Univ. of Technology.
Williams, C. 2014. “The Multihalle and the British Museum: A comparison of two gridshells.” In Shell structures for architecture: Form finding and optimization, 239–245. London: Routledge.
Winslow, P., S. Pellegrino, and S. B. Sharma. 2010. “Multi-objective optimization of free-form grid structures.” Struct. Multidiscip. Optim. 40 (1–6): 257–269. https://doi.org/10.1007/s00158-009-0358-4.

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Go to Journal of Architectural Engineering
Journal of Architectural Engineering
Volume 26Issue 1March 2020

History

Received: Jul 22, 2018
Accepted: Mar 29, 2019
Published online: Nov 28, 2019
Published in print: Mar 1, 2020
Discussion open until: Apr 28, 2020

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Authors

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Ernesto Grande, Ph.D. [email protected]
Associate Professor of Structural Design, Dept. of Sustainability Engineering, Univ. Guglielmo Marconi, via Plinio 44, 00193 Roma, Italy (corresponding author). Email: [email protected]
Maura Imbimbo, Ph.D. [email protected]
Associate Professor of Structural Design, Dept. of Civil and Mechanical Engineering, Univ. of Cassino and Southern Lazio, via G. Di Biasio 43, 00143 Cassino, Italy. Email: [email protected]
Valentina Tomei, Ph.D. valentina.tomei4unibo.it
Research Fellow, Interdepartmental Centers for Industrial Research – Building and Construction (CIRI-EC), Univ. of Bologna, Via del Lazzaretto 15/5, 40131 Bologna, Italy. Email: valentina.tomei4unibo.it

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