Imperfection sensitivity of thin elastic cylindrical shells subject to partial axial compression

Song, Cy Y.; Teng, Jinguang; Rotter, J.

doi:10.1016/j.ijsolstr.2004.05.040

Cited by 96 publications

(58 citation statements)

References 27 publications

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“…6 below, were introduced at evenly-spaced intervals up the silo so that the wall had many local imperfections. This imperfection form was developed as a realistic simulation of the joints created during welding of metal sheets, and has been widely used in numerical studies of imperfection sensitivity in cylinders because it is one of the most damaging credible imperfection forms for a uniformly compressed cylinder (Teng & Rotter, 1992;Song et al, 2004).…”

Section: Numerical Modelmentioning

confidence: 99%

Study of Buckling in Steel Silos under Eccentric Discharge Flows of Stored Solids

Sadowski

Rotter

2010

J. Eng. Mech.

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The most serious loading condition for slender thin-walled metal silos has long been recognized to be the condition of discharge, with eccentric discharge causing more catastrophic failures than any other. Two key reasons for this high failure rate are the difficulties in characterizing the pressure distribution caused by eccentric solids flow, and in understanding the associated unsymmetrical stresses in the silo wall. Few studies have addressed either the linear elastic behavior of such a silo or its buckling failure under eccentric discharge.In this study, the eccentric discharge pressures are characterized using the new rules of the European Standard EN 1991-4 on Silos and Tanks. This novel description of unsymmetrical pressures permits a study of the structural behavior leading to buckling during eccentric discharge, including the critical effects of change of geometry and imperfection sensitivity, to be undertaken using geometrically and materially nonlinear computational analyses. The mechanics of the behavior are found to be quite complicated. A silo which is safe under axisymmetric loading is found to be susceptible to catastrophic stability failure under eccentric discharge.

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Section: Numerical Modelmentioning

confidence: 99%

Study of Buckling in Steel Silos under Eccentric Discharge Flows of Stored Solids

Sadowski

Rotter

2010

J. Eng. Mech.

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“…It can be seen that the load versus the axial shortening curve is nearly linear up to the collapse load. The first linear stage in the pre-buckling path is when the structure deforms elastically after which there is a transition from the elastic deformation to the plastic deformation [2]. The post-collapse/post-buckling path shows a drop in the load as the axial shortening continues to increase.…”

Section: Resultsmentioning

confidence: 99%

“…The post-collapse/post-buckling path shows a drop in the load as the axial shortening continues to increase. This is because, in the post-collapse region, there is weakening in the behaviour of the cylinder [2], thereby causing a drop in the load carrying capacity of the cylinder as the axial shortening continues to increase. Figure 7.…”

Section: Resultsmentioning

confidence: 99%

“…Conversely, for thicker cylinders with a reduced radius-to-thickness ratio, their failure is characterised by plastic collapse [1]. The buckling strength of the cylindrical shell under axial compression has been adjudged to be particularly sensitive to the imperfections in the shell [2,3]. This sensitivity to geometric imperfections on the actual buckling load of the axially compressed cylindrical shell structure is however strongly dependent on the form of the imperfection approach adopted.…”

Section: Introductionmentioning

confidence: 99%

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Buckling behaviour of imperfect axially compressed cylinder with an axial crack

Ifayefunmi¹,

Fadzullah²

2017

Int. J. Automot. Mech. Eng.

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This paper studies the buckling behaviour of cylindrical shell structures with an axial crack subjected to axial compression. This work is both experimental and theoretical. The results of the test on four laboratory scale mild steel cylinders and the associated theoretical estimation of the buckling loads for a cylinder with no cracks are provided. The geometry parameters of the cylinder were assumed as follows: the radius-to-thickness ratio (R/t) was taken as 100, while the axial length-to-thickness ratio L/R, was 2.2. The nominal thickness of the specimen was 0.5 mm. Cylinders had an axial crack introduced to a fraction of the cylinder's axial length. The magnitude of the crack length-to-cylinder axial length varies between 0 and 0.15. All four cylinders were subjected to axial compression using an instron universal testing machine. The experimental results reveal that the load carrying capacity of the cylindrical shells is strongly dependent on the crack length, i.e., increasing the crack length leads to a decrease in the buckling load of the cylindrical shells. As an example, the cylinder with an axial crack extending by 15% of its axial length will lead to an approximate reduction of 31% in the load carrying capacity of the shell.

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“…Systems with locally elevated compressive stresses thus exhibit a significantly decreased imperfection sensitivity [61,62]. In particular, the minute numerical 'imperfections' introduced by the helical meshing become negligible in comparison to the effect of explicitly modelled geometric imperfections and the analysis of the structure may now benefit fully from the well-defined geometrical representation.…”

Section: Behaviour Of Spiral Welded Cylinders Under Axial Compressionmentioning

confidence: 99%

Modelling and behaviour of cylindrical shell structures with helical features

Sadowski

Rotter

2014

Computers & Structures

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Spiral welding or bonding is a particularly efficient and cost-effective method of constructing continuous tubes. However the understanding of the mechanics of such structures is not yet well developed. This is in no small part due to the difficulties involved in their computational analysis.Cylindrical shells are traditionally modelled using rectangular finite elements oriented parallel to the meridional and circumferential axes. However, spiral features are particularly challenging to model because such features are not orthogonal to the axes of the cylinder. Commercial finite element pre-processors often struggle to mesh these with anything other than a free triangulation. A superior mesh would consist of wellconditioned rectangular elements oriented orthogonally with respect to the axes of the helix, termed a 'helical mesh', but this requires significant programming effort. A helical mesh is particularly important if features of the shell such as geometric imperfections, residual stresses, weld material and heat affected zones, and bonding in systems using adhesives are required to follow the helical form. Helically wound structural forms are widely used in different applications that demand continuous cylindrical forms. The most common uses in structural engineering are in spiral wound tubes, piles, chimneys and pipelines. This paper describes a powerful computational procedure developed by the authors to generate high quality helical meshes. Special emphasis is placed on the modelling of geometric deviations defined relative to the helix, appropriate for the analysis of spiral welded and stiffened tubes. The effect of helical meshing is illustrated using benchmark examples of perfect and imperfect cylinders under axial compression.Published in: Computers and Structures, 133C,[90][91][92][93][94][95][96][97][98][99][100][101][102]

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Imperfection sensitivity of thin elastic cylindrical shells subject to partial axial compression

Cited by 96 publications

References 27 publications

Study of Buckling in Steel Silos under Eccentric Discharge Flows of Stored Solids

Study of Buckling in Steel Silos under Eccentric Discharge Flows of Stored Solids

Buckling behaviour of imperfect axially compressed cylinder with an axial crack

Modelling and behaviour of cylindrical shell structures with helical features

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