Elastic Stability of Circular Cylindrical Shells

Yamaki, N.; Simitses, George J.

doi:10.1115/1.3169089

Cited by 186 publications

(182 citation statements)

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“…This is a ubiquitous benchmark in the field of shell buckling and has been studied very extensively in the past (e.g. [16,19,37,40,44,45,46,47,49,52]). However, this deceptively simple problem is widely recognised to be one of the most challenging to model computationally.…”

Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

“…To illustrate this through a visual example, a common imperfection in cylindrical shells has traditionally been the eigenmode [37,38,39,40,41,42] where the wall is deformed into sinusoidal waves in terms of the meridional and circumferential nodal coordinates.…”

Section: Generation Of Geometric Imperfectionsmentioning

confidence: 99%

“…The shell was loaded with the classical elastic critical buckling stress resultant N cl (Eq. 19) along one edge where the radial displacement and meridional rotation (but not the meridional displacement) were restrained (clamped C3 condition [40]) while the other edge was restrained against both radial and meridional displacements and meridional rotation (clamped C1 condition).…”

Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

“…Such a cylinder exhibits a discontinuous load path due to sudden bifurcation at buckling [40] which must be transformed into a smooth snapthrough response if it is to be followed by path-tracing methods. This is usually achieved by introducing a small mesh perturbation in the form of an eigenmode [48,49,50], though load-disturbance methods are also possible [51,52].…”

Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

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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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Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

Section: Generation Of Geometric Imperfectionsmentioning

confidence: 99%

Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

Section: Verification Of Helical Meshing -Cylinder Under Axial Comprementioning

confidence: 99%

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Modelling and behaviour of cylindrical shell structures with helical features

Sadowski

Rotter

2014

Computers & Structures

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“…Various other general investigations have been achieved since then. They have dealt with the effect of both distributed and/or localized imperfections on reduction of the buckling load: Arbocz (2005); Yamaki (1984); Bushnell (1989); Godoy (1993) and Gusic et al (2000). Kim and Kim (2002) have considered a generalized initial geometric imperfection having a modal superposition form.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of Buckling Strength for Compressed Cylindrical Shells with Interacting Localized Geometric Imperfections

Bahaoui¹,

Khamlichi²,

Bakkali³

et al. 2010

American J. of Engineering and Applied Sciences

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Problem statement: Elastic cylindrical shells are common structures in the fields of civil engineering and engineering mechanics. These thin-walled constructions may undergo buckling when subjected to axial compression. Buckling limits to large extent their strength performance. This phenomenon depends hugely on the initial distributed or localized geometric imperfections that are present on the shell structure. Localized geometric imperfections result in general from the operation of welding strakes to assemble the shell structure. In this study, reliability of buckling strength as it could be affected by shell material and geometry parameters was investigated. The localized geometric imperfections were chosen to be entering and having either a triangular or a wavelet form. Interaction between three localized imperfections had also been considered. Approach: A special software package which was dedicated to buckling analysis of quasi axisymmetric shells was used in order to compute the buckling load via the linear Euler buckling procedure. A set of five factors including shell aspect ratios, defect characteristics and the distance separating the localized initial geometric imperfections had been found to govern the buckling problem. A parametric study was performed to determine their relative influence on the buckling load reduction. Reliability analysis was carried out by using first order reliability method. Results: Wavelet imperfection was found to be more severe than triangular form in the range of low amplitude imperfections. It was shown also by comparison with the single imperfection case that further diminution of the critical load is obtained for three interacting imperfections. The interval distance separating the localized geometric imperfections was found to have important influence on the reliability index. Conclusion/Recommendations: In the he range of investigated parameters, reliability was found to increase with the distance separating the localized geometric imperfections. This can help performing optimal design of assembled strakes.

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