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Reduced Order Modeling Methods in Topology Optimization

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Reduced Order Modeling Methods in Topology Optimization (EN)
Ράλλης, Αθανάσιος (EL)
Rallis, Athanasios (EN)
ntua (EL)
Λαγαρός, Νικόλαος (EL)
Ριζιώτης, Βασίλειος (EL)
Παπαδόπουλος, Βησσαρίων (EL)
masterThesis
2019-03-04
2022-02-09T11:21:04Z
This thesis examines efficient solution procedures for the structural analysis problem within topology optimization. The research is motivated by the observation that when the nested approach to structural optimization is applied, most of the computational effort is invested in repeated solutions of the analysis equations. For demonstrative purposes, the discussion is limited to topology optimization of linear problems within the field of structural mechanics. The main focus of the thesis is on the utilization of various approximations to the solution of the analysis problem, where the underlying model corresponds to linear elasticity. For computational environments that enable the direct solution of large linear equation systems using matrix factorization, we utilize efficient procedures based on model order reduction via reduced basis. These approaches are tested on two- and three-dimensional topology optimization problems of minimum compliance design. The topologies generated by the approximate procedures are practically identical to those obtained by the standard approach. The thesis starts with the presentation of Structural optimization, where emphasis is given in topology optimization and the implementation of SIMP approach. We also make a brief presentation of direct and iterative solution methods for linear structural analysis. In the following chapters of the thesis the concept of model order reduction is introduced, the approximate procedures that are utilized are described and finally the results from the numerical tests are presented. (EN)
Reduced Order Modeling (EN)
ROM (EN)
Topology optimization (EN)
Model Order Reduction (EN)
English
Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Υπολογιστική Μηχανική” (EL)
Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Χημικών Μηχανικών (EL)
Default License
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Μεταπτυχιακές Εργασίες



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