Postbuckling Behavior of Column with Nonlinear Stress-Strain Characteristics

Atsuo Murata, Yasufumi Kume, Fumio Hashimoto

Research output: Contribution to journalArticlepeer-review


In this paper, the postbuckling behavior of a column with nonlinear stress-strain characteristics is analysed by means of a catastrophe theory. As a result, it is shown that the postbuckling behavior of the column with linear stress-strain characteristics is modeled by the cusp catastrophe. Moreover, it is clarified that the postbuckling behavior of the column with nonlinear (symmetric and cubic) stress-strain characteristics must be analysed by the butterfly catastrophe.

Original languageEnglish
Pages (from-to)2074-2079
Number of pages6
JournalJournal of the Japan Society for Precision Engineering
Issue number12
Publication statusPublished - 1986
Externally publishedYes


  • bifurcation set
  • butterfly catastrophe
  • catastrophe theory
  • cusp catastrophe
  • imperfection force
  • perturbation method
  • postbuckling
  • unstable phenomenon

ASJC Scopus subject areas

  • Mechanical Engineering

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