Worst imperfection (I)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


The critical load of a system undergoing bifurcation, such as domes and shells, is highly sensitive to imperfections. It is important to capture the “worst imperfection” that reduces the critical load of this system most rapidly. This chapter presents a procedure to determine the worst pattern of imperfections. This procedure is applied to a truss dome structure. Chapter 3, “Imperfection Sensitivity Laws,” is a foundation of this chapter, and this chapter is extended to a system with group symmetry in Chap. 10.

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

Publication series

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


  • Bifurcation equation
  • Critical point
  • Imperfection
  • Imperfection sensitivity
  • Limit point
  • Pitchfork bifurcation
  • Transcritical bifurcation
  • Truss dome
  • Worst imperfection

ASJC Scopus subject areas

  • Applied Mathematics


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