The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections

Papadopoulos, V; Iglesis, P

dc.contributor.author	Papadopoulos, V	en
dc.contributor.author	Iglesis, P	en
dc.date.accessioned	2014-03-01T01:27:24Z
dc.date.available	2014-03-01T01:27:24Z
dc.date.issued	2007	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18433
dc.subject	Evolutionary spectra	en
dc.subject	Non-linear shell finite element	en
dc.subject	Non-uniform random axial loading	en
dc.subject	Random imperfections	en
dc.subject	Spectral representation	en
dc.subject.classification	Mechanics	en
dc.subject.other	Evolutionary spectra	en
dc.subject.other	Non-linear shell finite element	en
dc.subject.other	Random axial loading	en
dc.subject.other	Random imperfections	en
dc.subject.other	Spectral representation	en
dc.subject.other	Buckling	en
dc.subject.other	Computer simulation	en
dc.subject.other	Cost effectiveness	en
dc.subject.other	Finite element method	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Stochastic control systems	en
dc.subject.other	Thickness measurement	en
dc.subject.other	Shells (structures)	en
dc.title	The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2007.02.027	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2007.02.027	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In the present paper, the effect of random non-uniform axial loading on the buckling behaviour of isotropic thin-walled imperfect cylindrical shells is investigated. Random initial (out-of-plane) geometric imperfections, thickness and material property variability, together with a non-uniform stochastic axial loading are incorporated into a cost-effective non-linear stochastic finite element analysis using the non-linear TRIC shell element. For this purpose, the concept of an initial 'imperfect' structure is introduced involving not only deviations of the shell structure from its perfect geometry but also a spatial variability of the modulus of elasticity as well as of the thickness of the shell. The initial imperfections as well as the axial loading are modeled as stochastic fields with statistical properties that are either based on an available data bank of measured initial imperfections or assumed, in cases where no experimental data is available. Based on these simulation features, a simple and realistic approach is proposed for the estimation of the variability (scatter) of the limit loads by means of a brute-force Monte Carlo Simulation procedure. In addition, 'worst case' buckling scenarios are identified by means of a sensitivity analysis with respect to assumed parameters used for the description of stochastic fields that are not supported by corresponding experimental measurements. In addition it is shown that in the context of such sensitivity analysis, modeling of the non-uniformity of the axial loading is, from a computational point of view, fully equivalent to modeling the geometric boundary imperfections. The numerical tests performed demonstrate the significant role that the random varying axial loading plays on the buckling behaviour of imperfection sensitive structures like the axially compressed thin-walled cylinder considered in this study. (c) 2007 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.2007.02.027	en
dc.identifier.isi	ISI:000249214700029	en
dc.identifier.volume	44	en
dc.identifier.issue	18-19	en
dc.identifier.spage	6299	en
dc.identifier.epage	6317	en