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dc.contributor.authorMoghaddasie, Behrang
Stanciulescu, Ilinca
dc.date.accessioned 2014-08-04T20:53:46Z
dc.date.available 2014-08-04T20:53:46Z
dc.date.issued 2013
dc.identifier.citation Moghaddasie, Behrang and Stanciulescu, Ilinca. "Direct calculation of critical points in parameter sensitive systems." Computers & Structures, 117, (2013) Elsevier: 34-47. http://dx.doi.org/10.1016/j.compstruc.2012.11.001.
dc.identifier.urihttps://hdl.handle.net/1911/76360
dc.description.abstract At 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.
dc.language.iso eng
dc.publisher Elsevier
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.title Direct calculation of critical points in parameter sensitive systems
dc.type Journal article
dc.citation.journalTitle Computers & Structures
dc.subject.keywordstability boundary
sensitivity analysis
control parameter
critical load
arc-length method
conservative systems
dc.citation.volumeNumber 117
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1016/j.compstruc.2012.11.001
dc.type.publication post-print
dc.citation.firstpage 34
dc.citation.lastpage 47


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