An efficient mathematical programming method for the elastoplastic analysis of frames

Spiliopoulos, KV; Patsios, TN

dc.contributor.author	Spiliopoulos, KV	en
dc.contributor.author	Patsios, TN	en
dc.date.accessioned	2014-03-01T01:32:43Z
dc.date.available	2014-03-01T01:32:43Z
dc.date.issued	2010	en
dc.identifier.issn	0141-0296	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20204
dc.subject	Cyclic loading	en
dc.subject	Force method	en
dc.subject	Graph theory	en
dc.subject	Limit analysis	en
dc.subject	Moment/axial force interaction	en
dc.subject	Numerical methods	en
dc.subject	Plane bending	en
dc.subject	Plastic hinge	en
dc.subject	Pushover analysis	en
dc.subject	Quadratic programming	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Cyclic loading	en
dc.subject.other	Cyclic loadings	en
dc.subject.other	Force interaction	en
dc.subject.other	Limit analysis	en
dc.subject.other	Plane bending	en
dc.subject.other	Plastic hinges	en
dc.subject.other	Push-over analysis	en
dc.subject.other	Cyclic loads	en
dc.subject.other	Elastoplasticity	en
dc.subject.other	Graph theory	en
dc.subject.other	Hinges	en
dc.subject.other	Loading	en
dc.subject.other	Mathematical programming	en
dc.subject.other	Number theory	en
dc.subject.other	Numerical methods	en
dc.subject.other	Plastics	en
dc.subject.other	Professional aspects	en
dc.subject.other	Loads (forces)	en
dc.subject.other	bending	en
dc.subject.other	computer simulation	en
dc.subject.other	deformation mechanism	en
dc.subject.other	efficiency measurement	en
dc.subject.other	elastoplasticity	en
dc.subject.other	loading test	en
dc.subject.other	numerical method	en
dc.subject.other	numerical model	en
dc.subject.other	structural analysis	en
dc.subject.other	structural component	en
dc.subject.other	structural response	en
dc.title	An efficient mathematical programming method for the elastoplastic analysis of frames	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.engstruct.2009.12.045	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.engstruct.2009.12.045	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The elastoplastic nonholonomic analysis of frames is a nonlinear procedure in which the magnitude of the structural loading is incrementally modified using a proportional load factor, in accordance with a certain sequence of predefined loading patterns. It is an attempt by the structural engineering profession to estimate the strength as well as the deformations of framed structures under a given loading. In this work an analysis based on the force method and mathematical programming is presented. An elastic perfectly plastic material is assumed and conventional plastic hinges of zero length are used to model the plasticity effects. The basis of the approach is the formulation of the incremental problem as a convex parametric quadratic programming (PQP) problem between two successive plastic hinges. A novel numerical strategy is proposed that uses a fictitious load factor to convert the PQP problem to a QP one. The solution of the QP problem, by an effective standard algorithm, establishes a feasible direction on which the true solution lies. The real solution is then found, simply on the demand of the formation of a new plastic hinge that is closest to open. Possible plastic unstressing is automatically accounted for. The approach is first developed for pure bending behaviour and is then extended to cater for moment/axial force interaction. Examples of application under monotonic, variable, and cyclic loading conditions are included. The whole procedure appears to be stable, robust, and computationally efficient as it requires much less time than the alternative displacement based direct stiffness method. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Structures	en
dc.identifier.doi	10.1016/j.engstruct.2009.12.045	en
dc.identifier.isi	ISI:000277744200001	en
dc.identifier.volume	32	en
dc.identifier.issue	5	en
dc.identifier.spage	1199	en
dc.identifier.epage	1214	en