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B. Toth^1,2, M. Bruggi¹ and J. Logo²

¹Department of Civil and Environmental Engineering, Politecnico di Milano, Italy
²Department of Structural Mechanics, Budapest University of Technology and Economics, Hungary

B. Toth, M. Bruggi, J. Logo, "Shape Optimization of Reticulated Shells with Loading Uncertainty via a Monte Carlo Approach", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 4.2, 2025,

Keywords: form-finding, structural optimization, force density method, uncertain loading, lattice domes, Monte Carlo simulations.

Abstract

In this contribution the design of reticulated shells is dealt with, exploring the optimal solutions that can be retrieved by a form-finding approach in the case of loading uncertainty. To this goal, a numerical tool is implemented that addresses the design of reticulated shells through funicular analysis. The force density method (FDM) is implemented to cope with the equilibrium of reticulated shells whose branches are required to behave as bars. Optimal networks are sought by coupling FDM with techniques of sequential convex programming that were originally conceived to handle formulations of size optimization for elastic structures. The mean compliance computed across a set of statistical samples is used as objective function to be minimized, whereas constraints on the total length of the branches and the standard deviation of the length of its members are enforced. Funicular networks that are fully feasible with respect to the set of enforcements are retrieved. Optimal solutions are explored for a dome, considering uncertainties affecting self-weight.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 4.2 Shape Optimization of Reticulated Shells with Loading Uncertainty via a Monte Carlo Approach B. Toth^1,2, M. Bruggi¹ and J. Logo² ¹Department of Civil and Environmental Engineering, Politecnico di Milano, Italy ²Department of Structural Mechanics, Budapest University of Technology and Economics, Hungary Full Bibliographic Reference for this paper B. Toth, M. Bruggi, J. Logo, "Shape Optimization of Reticulated Shells with Loading Uncertainty via a Monte Carlo Approach", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 4.2, 2025, Keywords: form-finding, structural optimization, force density method, uncertain loading, lattice domes, Monte Carlo simulations. Abstract In this contribution the design of reticulated shells is dealt with, exploring the optimal solutions that can be retrieved by a form-finding approach in the case of loading uncertainty. To this goal, a numerical tool is implemented that addresses the design of reticulated shells through funicular analysis. The force density method (FDM) is implemented to cope with the equilibrium of reticulated shells whose branches are required to behave as bars. Optimal networks are sought by coupling FDM with techniques of sequential convex programming that were originally conceived to handle formulations of size optimization for elastic structures. The mean compliance computed across a set of statistical samples is used as objective function to be minimized, whereas constraints on the total length of the branches and the standard deviation of the length of its members are enforced. Funicular networks that are fully feasible with respect to the set of enforcements are retrieved. Optimal solutions are explored for a dome, considering uncertainties affecting self-weight. download the full-text of this paper (PDF, 9 pages, 485 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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