Nonlinear Analysis of Frame Structures based on Augmented Total Potential Energy Minimization

Αντριώτης, Χαράλμπος; Andriotis, Charalampos

dc.contributor.author	Αντριώτης, Χαράλμπος	el
dc.contributor.author	Andriotis, Charalampos	en
dc.date.accessioned	2015-10-30T11:44:20Z
dc.date.available	2015-10-30T11:44:20Z
dc.date.issued	2015-10-30
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/41481
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.4868
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) "Analysis and Design of Earthquake Resistant Structures"	el
dc.rights	Default License
dc.subject	Large Displacements	en
dc.subject	Plasticity	en
dc.subject	FEM	en
dc.subject	Beam-Column Elements	en
dc.subject	Fibers	en
dc.subject	Variational Principles	en
dc.subject	Μη γραμμική ανάλυση	el
dc.subject	Ίνες	el
dc.title	Nonlinear Analysis of Frame Structures based on Augmented Total Potential Energy Minimization	en
heal.type	masterThesis
heal.classification	Finite Element Analysis	en
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2015-06-11
heal.abstract	In this work a new beam – column element for geometrically and material nonlinear analysis of frame structures is presented. The Total Potential Energy functional is augmented by adding new constraint terms with Lagrange multipliers to ensure compatibility and minimization is performed implementing primal – dual nonlinear optimization methods. This procedure generates a hybrid – type finite element, having the rotation along the element as the only internal approximated field, derived via a curvature based interpolation. The stress resultants at every position of the element are determined with the cross sections discretized into fibers. The formulation presented fully addresses large displacement theory with no simplifications for curvature and axial deformation. The solution scheme follows the standard Newton – Raphson and arc – length numerical methods to derive the equilibrium path. Validation and verification of the proposed model is performed via comparative analysis with other beam – column finite elements, solving benchmark nonlinear analysis problems cited in the literature. Numerical results show that the proposed element allows for coarser discretization of the structural members than the standard force based elements, to obtain results of the same accuracy.	en
heal.sponsor	Onassis Foundation	en
heal.advisorName	Κουμούσης, Βασίλειος	en
heal.committeeMemberName	Γαντές, Χαράλαμπος	en
heal.committeeMemberName	Φραγκιαδάκης, Μιχαήλ	en
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Πολιτικών Μηχανικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	73 p.	en
heal.fullTextAvailability	true