Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties

Papadopoulos, V; Stefanou, G; Papadrakakis, M

dc.contributor.author	Papadopoulos, V	en
dc.contributor.author	Stefanou, G	en
dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:29:57Z
dc.date.available	2014-03-01T01:29:57Z
dc.date.issued	2009	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19413
dc.subject	Buckling analysis	en
dc.subject	Non-Gaussian stochastic fields	en
dc.subject	Nonlinear shell finite element	en
dc.subject	Random imperfections	en
dc.subject	Spectral representation	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling analysis	en
dc.subject.other	Non-Gaussian stochastic fields	en
dc.subject.other	Nonlinear shell finite element	en
dc.subject.other	Random imperfections	en
dc.subject.other	Spectral representation	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Finite element method	en
dc.subject.other	Gaussian distribution	en
dc.subject.other	Gaussian noise (electronic)	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Random processes	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Systems engineering	en
dc.subject.other	Uncertainty analysis	en
dc.subject.other	Buckling	en
dc.title	Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2009.03.006	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2009.03.006	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper, the effect of material and thickness spatial variation on the buckling load of isotropic shells with random initial geometric imperfections is investigated. To this purpose, a random spatial variability of the elastic modulus as well as of the thickness of the shell is introduced in addition to the random initial geometric deviations of the shell structure from its perfect geometry. The main novelty of this paper compared to previous works is that a non-Gaussian assumption is made for the distribution of the two aforementioned uncertain parameters i.e. the modulus of elasticity and the shell thickness which are described by two-dimensional uni-variate (2D-1V) homogeneous non-Gaussian stochastic fields. The initial geometric imperfections are described as a 2D-1V Gaussian non-homogeneous stochastic field with properties derived from corresponding experimental measurements. Numerical examples are presented focusing on the influence of the non-Gaussian assumption on the variability of the buckling load, which is calculated by means of the Monte Carlo Simulation method. It is shown that the choice of the marginal probability distribution for the description of the material and thickness variability is crucial since it affects significantly the statistics of the buckling load of imperfection sensitive shell-type structures. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2009.03.006	en
dc.identifier.isi	ISI:000266045800004	en
dc.identifier.volume	46	en
dc.identifier.issue	14-15	en
dc.identifier.spage	2800	en
dc.identifier.epage	2808	en