Degeneration of bifurcation hierarchy of a rectangular plate due to boundary conditions

Kiyohiro Ikeda, Masatoshi Nakazawa, Satoshi Wachi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A simply-supported rectangular plate subject to a pure bending undergoes successive hierarchial bifurcation. The bifurcation structure of this plate arises from the "hidden (circular) symmetry" of the periodic nature of its deflection. We will arrive at this structure by means of the concept of irreducible representations in the group-theoretic bifurcation theory. The boundary conditions are revealed to significantly alter the bifurcation structure.

Original languageEnglish
Pages (from-to)43s-54s
JournalStructural Engineering/Earthquake Engineering
Volume13
Issue number1
Publication statusPublished - 1996 Apr 1

Keywords

  • Bifurcation
  • Group theory
  • Hidden symmetry
  • Irreducible representations

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Arts and Humanities (miscellaneous)
  • Geotechnical Engineering and Engineering Geology

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