Random imperfection (II)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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)
PublisherSpringer
Pages317-334
Number of pages18
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume149
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • 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

Fingerprint Dive into the research topics of 'Random imperfection (II)'. Together they form a unique fingerprint.

Cite this