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T. Světlík¹, M. Mrovec², L. Pospíšil¹ and M. Cermak¹

¹Department of Mathematics, VSB – Technical University of Ostrava, Czechia
²School of Chemistry, University of Sydney, Camperdown, Australia

doi:10.4203/ccc.9.10.4

T. Světlík, M. Mrovec, L. Pospíšil, M. Cermak, "Size Optimisation of 2D Frame Structures using Inexact Restoration", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.4, 2024, doi:10.4203/ccc.9.10.4

Keywords: frame structure, structural optimization, finite element method, inexact restoration, gradient method, nonlinear programing.

Abstract

In this paper, we focus on the size optimization of frame structures with the aim of minimizing the structural weight under the necessary conditions for serviceability and usability, such as deformation and stress constraints. Using the Finite Element Method, this approach leads to the area of nonlinear programming with a nonlinear cost function as well as nonlinear inequality constraints. We tackle this issue using Inexact Restoration (IR). Unlike traditional optimization methods, the IR algorithm separates the feasibility restoration from the objective function improvement, allowing for a more efficient search for the optimal solution. This method is particularly advantageous in dealing with the complex, non-linear behavior of beam structures with various constraints. We review the theory, present our implementation and compare results using a benchmark.

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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: 9 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.4 Size Optimisation of 2D Frame Structures using Inexact Restoration T. Světlík¹, M. Mrovec², L. Pospíšil¹ and M. Cermak¹ ¹Department of Mathematics, VSB – Technical University of Ostrava, Czechia ²School of Chemistry, University of Sydney, Camperdown, Australia doi:10.4203/ccc.9.10.4 Full Bibliographic Reference for this paper T. Světlík, M. Mrovec, L. Pospíšil, M. Cermak, "Size Optimisation of 2D Frame Structures using Inexact Restoration", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.4, 2024, doi:10.4203/ccc.9.10.4 Keywords: frame structure, structural optimization, finite element method, inexact restoration, gradient method, nonlinear programing. Abstract In this paper, we focus on the size optimization of frame structures with the aim of minimizing the structural weight under the necessary conditions for serviceability and usability, such as deformation and stress constraints. Using the Finite Element Method, this approach leads to the area of nonlinear programming with a nonlinear cost function as well as nonlinear inequality constraints. We tackle this issue using Inexact Restoration (IR). Unlike traditional optimization methods, the IR algorithm separates the feasibility restoration from the objective function improvement, allowing for a more efficient search for the optimal solution. This method is particularly advantageous in dealing with the complex, non-linear behavior of beam structures with various constraints. We review the theory, present our implementation and compare results using a benchmark. download the full-text of this paper (PDF, 13 pages, 605 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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