Random Imperfection (II)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

It was clarified in Chapter 5, for simple critical points, that the probabilistic properties of critical loads can be formulated in an asymptotic sense (when imperfections are small). In this chapter, this formulation is extended to a Dn-equivariant system that potentially has simple and double bifurcation points. For a simple critical point of a Dn-equivariant system, which is either a limit point or a pitchfork bifurcation point (cf., §8.3.1), the relevant results presented in Chapter 5are applicable.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages271-286
Number of pages16
DOIs
Publication statusPublished - 2010 Jan 1

Publication series

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

Keywords

  • Bifurcation Point
  • Critical Load
  • Multivariate Normal Distribution
  • Probability Density Function
  • Reliability Function

ASJC Scopus subject areas

  • Applied Mathematics

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