Reduced Order Modeling Methods in Topology Optimization

Ράλλης, Αθανάσιος; Rallis, Athanasios

dc.contributor.author	Ράλλης, Αθανάσιος	el
dc.contributor.author	Rallis, Athanasios	en
dc.date.accessioned	2022-02-09T11:21:04Z
dc.date.available	2022-02-09T11:21:04Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/54609
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.22307
dc.rights	Default License
dc.subject	Topology optimization	en
dc.subject	Reduced Order Modeling	en
dc.subject	ROM	en
dc.subject	Model Order Reduction	en
dc.title	Reduced Order Modeling Methods in Topology Optimization	en
dc.contributor.department	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Υπολογιστική Μηχανική”	el
heal.type	masterThesis
heal.classification	Δομική Μηχανική	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2019-03-04
heal.abstract	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
heal.advisorName	Λαγαρός, Νικόλαος	el
heal.committeeMemberName	Ριζιώτης, Βασίλειος	el
heal.committeeMemberName	Παπαδόπουλος, Βησσαρίων	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Χημικών Μηχανικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	65 σ.	el
heal.fullTextAvailability	false