Improvement of the accuracy of scaled corrector method and proposal of a bifurcation analysis procedure for symmetric structures

Kiyohiro Ikeda, Akito Yanagimoto, Hirohisa Noguchi

Research output: Contribution to journalArticlepeer-review

Abstract

The Scaled corrector method has come to be acknowledged as an efficient bifurcation analysis procedure that does not require the eigenvalue analysis; however, its accuracy remains to be improved. As a remedy of this, we propose a new bifurcation analysis procedure that combines the mechanism of bifurcation of symmetric structure with the Scaled corrector method. The bifurcation mode is made highly accurate by decomposing Scaled corrector vector into a number of vectors and, in turn, choosing the predominant one. The usefulness of this technique was demonstrated through the application to the bifurcation analysis of the hexagonal truss dome to extract the bifurcation mode, and to search for the bifurcation point with high accuracy.

Original languageEnglish
Pages (from-to)362-370
Number of pages9
JournalDoboku Gakkai Ronbunshuu A
Volume62
Issue number2
DOIs
Publication statusPublished - 2006
Externally publishedYes

Keywords

  • Bifurcation analysis
  • Dihedral group
  • Eigenvector
  • Scaled corrector
  • Symmetric structure
  • Truss dome

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering

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