Probabilistic analysis of buckling loads of structures via extended Koiter law

Kiyohiro Ikeda, Makoto Ohsaki, Kentaro Sudo, Toshiyuki Kitada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Initial imperfections, such as initial deflection or remaining stress, cause deterioration of buckling strength of structures. The Koiter imperfection sensitivity law has been extended to describe the mechanism of reduction for structures. The extension is twofold: (1) a number of imperfections are considered, and (2) the second order (minor) imperfections are implemented, in addition to the first order (major) imperfections considered in the Koiter law. Yet, in reality, the variation of external loads is dominant over that of imperfection. In this research, probabilistic evaluation of buckling loads against external loads subjected to probabilistic variation is conducted by extending the concept of imperfection sensitivity. A truss arch subjected to dead and live loads is considered as a numerical example. The mechanism of probabilistic variation of buckling strength of this arch is described by the proposed method, and its reliability is evaluated.

Original languageEnglish
Pages (from-to)167-178
Number of pages12
JournalStructural Engineering and Mechanics
Issue number1
Publication statusPublished - 2009 May 10
Externally publishedYes


  • Buckling loads
  • Imperfection sensitivity law
  • Probabilistic analysis

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering


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