Structural Behavior of Thin-Walled Metal Silos Subject to Different Flow Channel Sizes under Eccentric Discharge Pressures

Sadowski, Adam J.; Rotter, J.

doi:10.1061/(asce)st.1943-541x.0000530

Cited by 12 publications

(9 citation statements)

References 21 publications

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“…The phenomenon of deeper imperfections causing a rise in buckling strength has been documented before in computational studies of imperfection sensitivity in cylindrical shells under unsymmetrical loading conditions (e.g. Sadowski and Rotter, 2012, 2013a) and poses a problem in establishing codified imperfection sensitivity relationships for use in design. The Eurocode on Metal Shells EN 1993-1-6 (2007) provides a safeguard against this eventuality for designers using the ‘GMNIA’ procedure to design a shell by requiring the analysis to investigate an imperfection amplitude 10% smaller than the codified value.…”

Section: Influence Of Cylinder Length On Imperfection Sensitivitymentioning

confidence: 92%

Imperfection sensitivity in cylindrical shells under uniform bending

Fajuyitan

Sadowski

2018

Advances in Structural Engineering

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Efforts are ongoing to characterise a comprehensive resistance function for cylindrical shells under uniform bending, a ubiquitous structural system that finds application in load-bearing circular hollow sections, tubes, piles, pipelines, wind turbine support towers, chimneys and silos. A recent computational study by Rotter et al. (2014) demonstrated that nonlinear buckling of perfect elastic cylinders under bending is governed by four length-dependent domains-'short', 'medium', 'transitional' and 'long'-depending on the relative influence of end boundary conditions and cross-section ovalisation. The study additionally transformed its resistance predictions into compact algebraic relationships for use as design equations within the recently-developed framework of Reference Resistance Design (RRD). This paper extends on the above to present a detailed computational investigation into the imperfection sensitivity of thin elastic cylindrical shells across the most important length domains, using automation to carry out the vast number of necessary finite element analyses. Geometric imperfections in three forms-the classical linear buckling eigenmode, an imposed cross-section ovalisation, and a realistic manufacturing 'weld depression' defectare applied to demonstrate that imperfection sensitivity is strongly length-dependent but significantly less severe than for the closely-related load case of cylinders under uniform axial compression. The axisymmetric weld depression almost always controls as the most deleterious imperfection. The data is processed computationally to offer an accurate yet conservative lower-bound algebraic design characterisation of imperfection sensitivity for use within the RRD framework. The outcomes are relevant to researchers and designers of large metal shells under bending and will appeal to computational enthusiasts who are encouraged to adopt the automation methodology described herein to explore other structural systems.

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Section: Influence Of Cylinder Length On Imperfection Sensitivitymentioning

confidence: 92%

Imperfection sensitivity in cylindrical shells under uniform bending

Fajuyitan

Sadowski

2018

Advances in Structural Engineering

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“…Examples of buckling strengths of silos with different imperfection forms are shown in Fig. 4 based on previous work by the authors (Sadowski & Rotter, 2011b;2012a). The beneficial effect may be seen to be very large; the axisymmetric weld depression suggests an increase in buckling strength of up to 12 times that of the perfect shell for a mid-sized flow channel.…”

Section: Behavior Of the Imperfect Silo Under Eccentric Pipe Flowmentioning

confidence: 88%

“…Fig. 4 -Illustration of buckling strengths for silos with different imperfection forms under eccentric discharge (after Rotter, 2011b and2012a) In a second study, Sadowski and Rotter (2012a) investigated the effect of eigenmodeaffine imperfections on a slender silo under eccentric discharge and reached a very similar conclusion for reasons that are explained in detail shortly. These imperfections Published in: International Journal of Solids and Structures, 50, 781-794.…”

Section: Behavior Of the Imperfect Silo Under Eccentric Pipe Flowmentioning

confidence: 88%

Exploration of novel geometric imperfection forms in buckling failures of thin-walled metal silos under eccentric discharge

Sadowski

Rotter

2013

International Journal of Solids and Structures

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“…By contrast, highly localised stress states (near supports, boundaries, openings etc.) and shells under very unsymmetrical loads [88] can be much more sensitive to changes of geometry and less so to geometric imperfections.…”

Section: Fig 3 Measured Imperfections On the Port Kembla 24 M Diamementioning

confidence: 99%

Shell buckling transformed: Mechanics, design processes and their inter‐relation

Rotter

2017

Stahlbau

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Herrn Univ.‐Prof. em. Dr.‐Ing. Herbert Schmidt zur Vollendung seines 80. Lebensjahres gewidmet This paper, in honour of Professor Herbert Schmidt, provides a brief description of two parallel but connected historical developments in the field of the buckling of thin metal shells, an area in which Professor Schmidt has made very significant contributions over the last four decades. The developments in shell buckling mechanics have been enormous over the last century, in addressing challenging practical problems and in changing from difficult mathematics to universal access for competent engineers. The second development has been in design calculations for practising engineers, moving from crude empiricism based on simple tests into a complete framework that can house all computational predictions in a structured manner, permitting very complex problems to be fully characterised. These two fields are quite separate, especially in the early part of the 20th century, and still lie somewhat apart, but the problems encountered in practical engineering continue to influence the development of shell buckling mechanics, whilst the conceptual framework for practical design is evolving to accommodate the most complex of findings in structural mechanics.

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Structural Behavior of Thin-Walled Metal Silos Subject to Different Flow Channel Sizes under Eccentric Discharge Pressures

Cited by 12 publications

References 21 publications

Imperfection sensitivity in cylindrical shells under uniform bending

Imperfection sensitivity in cylindrical shells under uniform bending

Exploration of novel geometric imperfection forms in buckling failures of thin-walled metal silos under eccentric discharge

Shell buckling transformed: Mechanics, design processes and their inter‐relation

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