Nonlinear stability of thin elastic cylinders of different length under global bending

J. Michael Rotter, Adam J. Sadowski*, Lei Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Many thin-walled cylindrical shells are used in structural applications in which the dominant loading condition is global bending. Key examples include chimneys, wind turbine support towers, pipelines, horizontal tanks, tubular piles and silos. The buckling behaviour of these structures in bending is complex due to the coupling between cross-section ovalisation and local bifurcation buckling. Analytical treatments of this problem have a history going back almost a century and still constitute an active and challenging research area.

This paper investigates in detail the effect of cylinder length on the nonlinear elastic buckling behaviour of clamped cylindrical tubes under global bending, covering a very wide range of lengths. It is found that the behaviour may be classified into four distinct length-dependent domains with clearly-defined boundaries which have here been assigned the names 'short', 'medium', 'transitional' and 'long'. Algebraic characterisations of the computed nonlinear moment-length relationships are proposed for design purposes. (C) 2014 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)2826-2839
Number of pages14
JournalInternational Journal of Solids and Structures
Volume51
Issue number15-16
DOIs
Publication statusPublished - 1 Aug 2014

Keywords

  • Nonlinear elastic buckling
  • Ovalisation
  • Linear bifurcation analysis
  • Cylindrical shells
  • Tubes in bending
  • Length effects
  • LARGE PLASTIC-DEFORMATION
  • LONG CYLINDRICAL-SHELLS
  • FRACTURE RESPONSE
  • ORTHOTROPIC TUBES
  • CURVED PIPES
  • PRESSURE
  • COLLAPSE
  • INSTABILITIES
  • BEHAVIOR
  • SUBJECT

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