Asymptotic Analysis of the damping response of a structure

Βαφείδης, Αναστάσιος; Vafeidis, Anastasios

dc.contributor.author	Βαφείδης, Αναστάσιος	el
dc.contributor.author	Vafeidis, Anastasios	en
dc.date.accessioned	2017-02-17T08:43:27Z
dc.date.available	2017-02-17T08:43:27Z
dc.date.issued	2017-02-17
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/44377
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.5626
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Υπολογιστική Μηχανική”	el
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Computational Singular Perturbation	en
dc.subject	Multi scale systems	en
dc.subject	Singular Perturbation Theory	en
dc.subject	System of differential equations	en
dc.subject	structural equation models	en
dc.title	Asymptotic Analysis of the damping response of a structure	en
dc.title	Ασυμπτωτική Ανάλυση της αποσβετικής συμπεριφοράς μιας κατασκευής	el
heal.type	masterThesis
heal.classification	ΑΣΥΜΠΤΩΤΙΚΗ ΘΕΩΡΙΑ	el
heal.classification	ASYMPTOTIC THEORY	en
heal.classification	ΚΑΤΑΣΚΕΥΕΣ	el
heal.classificationURI	http://data.seab.gr/concepts/1ef69ccdd4c60110b3ff694b7f8ee892a83cc29a
heal.classificationURI	http://data.seab.gr/concepts/1ef69ccdd4c60110b3ff694b7f8ee892a83cc29a
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh99004820
heal.classificationURI	http://data.seab.gr/concepts/72be95939b1fb18b489af6b5e1fd9257bc9bc6a2
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2016-10-26
heal.abstract	To building model is consisted of damped harmonic oscillation equations which are second order ordinary differential equation. The study and model reduction of building models is important because buildings is the most popular structure and their accurate simulation of their response requires dense discretization and leads to large-scale systems. Here, the fast/slow dynamics of the building models will be analysed, by employing the Computational Singular Perturbation (CSP) algorithm to an 8 oor building. Given a multi-scale (stiff) N-dimension system of ordinary differential equations which exhibits M fast time scales, the solution is attracted quickly on a N - M Slow Invariant Manifold (SIM). On the SIM the building response is governed by a system, which is free of the fast time scales, so that the ow there is characterized by the slow time scales. The CSP algorithm provides an approximation of the SIM and of the slow system. A number of CSP-related diagnostic tools are employed for the analysis of the building model, which provide all the relevant physical understanding for the different phenomena that appear during building vibrations. The purpose of the present analysis of the building model under various external loadings and excitations is to identify (i) the natural eigenmodes of the buildings that stimulated, (ii) the contribution of each natural eigenmode to the building vibration, (iii) the natural eigenmodes that correspond to the time scales at each instant, (iv) the evolution of the SIM under significant changes of the loading case. Finally, the results of the CSP method are compared to other model reduction methods mentioned by Antoulas et al..	en
heal.advisorName	Γκούσης, Δημήτριος	el
heal.committeeMemberName	Παπαδόπουλος, Βησσαρίων	el
heal.committeeMemberName	Καραντώνης, Αντώνιος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Χημικών Μηχανικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	92 σ.	el
heal.fullTextAvailability	true