Experimentally observed bifurcation diagrams

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

There is a qualitative gap between mathematical bifurcation diagrams and experimentally observed force versus displacement curves. This chapter introduces a procedure to fill this gap by extending the Koiter law for describing imperfection sensitivity at a pitchfork bifurcation point. This procedure is applied to a truss dome structure and sand specimens. Chapters 2 and 3 are foundations of this chapter. This chapter is extended to a system with group symmetry in Chap. 9 and is applied to the imperfect bifurcation of cylindrical specimens in Chap. 14.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages141-164
Number of pages24
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

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

Keywords

  • Bifurcation diagram
  • Imperfection
  • Imperfection sensitivity
  • Koiter law
  • Pitchfork bifurcation
  • Sand specimen
  • Truss dome

ASJC Scopus subject areas

  • Applied Mathematics

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