Direct calculation of critical points in parameter sensitive systems

dc.citation.firstpage34en_US
dc.citation.journalTitleComputers & Structuresen_US
dc.citation.lastpage47en_US
dc.citation.volumeNumber117en_US
dc.contributor.authorMoghaddasie, Behrangen_US
dc.contributor.authorStanciulescu, Ilincaen_US
dc.date.accessioned2014-08-04T20:53:46Zen_US
dc.date.available2014-08-04T20:53:46Zen_US
dc.date.issued2013en_US
dc.description.abstractAt critical points along the equilibrium path, sudden and sometimes catastrophic changes in the structural behaviour are observed. The equilibrium path, load-bearing capacity and locations of critical points can be sensitive to variations in parameters, such as geometrical imperfections, multi-parameter loadings, temperature and material properties. This paper introduces an incremental-iterative procedure to directly calculate the critical load for parameterized elastic structures. A modified Newton's method is proposed to simultaneously set the residual force and the minimum eigenvalue of the tangent stiffness matrix to zero by using an iterative algorithm. To demonstrate the performance of this method, numerical examples are presented.en_US
dc.identifier.citationMoghaddasie, Behrang and Stanciulescu, Ilinca. "Direct calculation of critical points in parameter sensitive systems." <i>Computers & Structures,</i> 117, (2013) Elsevier: 34-47. http://dx.doi.org/10.1016/j.compstruc.2012.11.001.en_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.compstruc.2012.11.001en_US
dc.identifier.urihttps://hdl.handle.net/1911/76360en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordstability boundaryen_US
dc.subject.keywordsensitivity analysisen_US
dc.subject.keywordcontrol parameteren_US
dc.subject.keywordcritical loaden_US
dc.subject.keywordarc-length methoden_US
dc.subject.keywordconservative systemsen_US
dc.titleDirect calculation of critical points in parameter sensitive systemsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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