Imperfection sensitivity analysis of hill-top branching with many symmetric bifurcation points

Makoto Ohsaki, Kiyohiro Ikeda

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


Imperfection sensitivity properties are derived for finite dimensional elastic conservative systems exhibiting hill-top branching at which arbitrary many bifurcation points coincide with a limit point. The critical load at a hill-top branching point is demonstrated to be insensitive to initial imperfections when all the bifurcation points are individually symmetric. Therefore, it is not dangerous to design a frame or truss so that many members buckle simultaneously at the limit point, although the notion of the danger of optimization by compound bifurcation is widespread.

Original languageEnglish
Pages (from-to)4704-4719
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number16
Publication statusPublished - 2006 Aug


  • Coincident buckling
  • Hill-top branching
  • Imperfection sensitivity
  • Member buckling
  • Symmetric bifurcation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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