Worst imperfection (II)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The worst imperfection advanced for simple critical points in Chap. 4 is extended in this chapter to systems with dihedral group symmetry based on the group-theoretic bifurcation theory in Chap. 8 and its application to the dihedral group Dn in Chap. 9. This group expresses the symmetry of domes and shells that are highly sensitive to imperfections. In their design, it is important to capture the “worst imperfection” that reduces the critical load most rapidly. This chapter is a prerequisite for Chap. 11.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages297-316
Number of pages20
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

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

Keywords

  • Dihedral group
  • Double bifurcation point
  • Imperfection sensitivity law
  • Imperfection sensitivity matrix
  • Simple bifurcation point
  • Stability
  • Symmetry
  • Truss dome
  • Worst imperfection

ASJC Scopus subject areas

  • Applied Mathematics

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  • Cite this

    Ikeda, K., & Murota, K. (2019). Worst imperfection (II). In Applied Mathematical Sciences (Switzerland) (pp. 297-316). (Applied Mathematical Sciences (Switzerland); Vol. 149). Springer. https://doi.org/10.1007/978-3-030-21473-9_10