A computationally efficient method for the buckling analysis of shells with stochastic imperfections

Papadopoulos, V; Charmpis, DC; Papadrakakis, M

dc.contributor.author	Papadopoulos, V	en
dc.contributor.author	Charmpis, DC	en
dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:29:32Z
dc.date.available	2014-03-01T01:29:32Z
dc.date.issued	2009	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19289
dc.subject	Buckling analysis of shells	en
dc.subject	Preconditioned Conjugate Gradient method	en
dc.subject	Random eigenvalues	en
dc.subject	Random imperfections	en
dc.subject	Stochastic finite element	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Buckling	en
dc.subject.other	Computational efficiency	en
dc.subject.other	Computational mechanics	en
dc.subject.other	Finite element method	en
dc.subject.other	Random processes	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Buckling analysis of shells	en
dc.subject.other	Preconditioned Conjugate Gradient method	en
dc.subject.other	Random eigenvalues	en
dc.subject.other	Random imperfections	en
dc.subject.other	Stochastic finite element	en
dc.subject.other	Conjugate gradient method	en
dc.title	A computationally efficient method for the buckling analysis of shells with stochastic imperfections	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-008-0338-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-008-0338-3	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A computationally efficient method is presented for the buckling analysis of shells with random imperfections, based on a linearized buckling approximation of the limit load of the shell. A Stochastic Finite Element Method approach is used for the analysis of the ""imperfect"" shell structure involving random geometric deviations from its perfect geometry, as well as spatial variability of the modulus of elasticity and thickness of the shell, modeled as random fields. A corresponding eigenproblem for the prediction of the buckling load is solved at each MCS using a Rayleigh quotient-based formulation of the Preconditioned Conjugate Gradient method. It is shown that the use of the proposed method reduces drastically the computational effort involved in each MCS, making the implementation of such stochastic analyses in real-world structures affordable. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-008-0338-3	en
dc.identifier.isi	ISI:000263360400008	en
dc.identifier.volume	43	en
dc.identifier.issue	5	en
dc.identifier.spage	687	en
dc.identifier.epage	700	en