Random imperfection (II)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


The critical load of a structure is subject to a probabilistic scatter when it is modeled as a function of several random imperfections. For structures with dihedral group symmetry, this chapter offers a procedure to obtain the probability density function of the critical load. The procedure for simple critical points in Chap. 5 is extended to double bifurcation points that appear in these structures. The present procedure is applied to truss structures and cylindrical specimens of sand and concrete. Chapters 7 – 10 are foundations of this chapter.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages18
Publication statusPublished - 2019 Jan 1

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


  • Concrete specimen
  • Critical load
  • Dihedral group
  • Distribution of minimum values
  • Double bifurcation point
  • Imperfection
  • Imperfection sensitivity law
  • Probability density function
  • Random imperfection
  • Sand specimen
  • Truss structure

ASJC Scopus subject areas

  • Applied Mathematics


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