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W. Larbi, J.-F. Deu, N. Ayob, "Nonlinear Dynamic Analysis of Reinforced Concrete Structures Using Proper Orthogonal Decomposition and Multi-Fiber Modeling", 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 5.1, 2025,

Keywords: reinforced concrete, nonlinear dynamic analysis, proper orthogonal decomposition, multi-fiber, finite element method, model reduction, material non-linearities.

Abstract

This research proposes the extension of the Proper Orthogonal Decomposition (POD) method to reinforced concrete (RC) structures with material nonlinearities subjected to earthquakes, aiming to reduce the numerical cost of dynamic time history analysis. The approach involves reducing the structural model by projecting it onto the dominant POD modes. Material nonlinearity in RC structures, caused by steel ductility and concrete damage, is modelled using the multi-fiber section technique. Two reduction models are presented. The first is for a single base excitation: a full nonlinear analysis is performed on an initial small-duration earthquake segment, and the dominant POD modes are extracted. These modes are then used to reduce the dynamic model for the remaining earthquake duration. The second technique addresses multiple earthquakes: a complete analysis for one selected event identifies the dominant POD modes, which are then applied to reduce the model for subsequent earthquake analyses. The reduced models deliver results comparable to full models while significantly decreasing computational time (up to 96% reduction). This study demonstrates that the POD method effectively reduces the numerical cost of dynamic time history analysis for RC structures with nonlinearities under seismic loading.

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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 5.1 Nonlinear Dynamic Analysis of Reinforced Concrete Structures Using Proper Orthogonal Decomposition and Multi-Fiber Modeling W. Larbi¹, J.-F. Deu¹ and N. Ayob² ¹Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC), Conservatoire National des Arts et Métiers (CNAM), France ², Graitec, France Full Bibliographic Reference for this paper W. Larbi, J.-F. Deu, N. Ayob, "Nonlinear Dynamic Analysis of Reinforced Concrete Structures Using Proper Orthogonal Decomposition and Multi-Fiber Modeling", 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 5.1, 2025, Keywords: reinforced concrete, nonlinear dynamic analysis, proper orthogonal decomposition, multi-fiber, finite element method, model reduction, material non-linearities. Abstract This research proposes the extension of the Proper Orthogonal Decomposition (POD) method to reinforced concrete (RC) structures with material nonlinearities subjected to earthquakes, aiming to reduce the numerical cost of dynamic time history analysis. The approach involves reducing the structural model by projecting it onto the dominant POD modes. Material nonlinearity in RC structures, caused by steel ductility and concrete damage, is modelled using the multi-fiber section technique. Two reduction models are presented. The first is for a single base excitation: a full nonlinear analysis is performed on an initial small-duration earthquake segment, and the dominant POD modes are extracted. These modes are then used to reduce the dynamic model for the remaining earthquake duration. The second technique addresses multiple earthquakes: a complete analysis for one selected event identifies the dominant POD modes, which are then applied to reduce the model for subsequent earthquake analyses. The reduced models deliver results comparable to full models while significantly decreasing computational time (up to 96% reduction). This study demonstrates that the POD method effectively reduces the numerical cost of dynamic time history analysis for RC structures with nonlinearities under seismic loading. download the full-text of this paper (PDF, 13 pages, 937 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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