Critical Initial Imperfection (II)

  • Kiyohiro Ikeda
  • Kazuo Murota
Part of the Applied Mathematical Sciences book series (AMS, volume 149)


The critical load of a structural system undergoing bifurcation is highly sensitive to initial imperfections. In the design of such a system, it is preferable to consider the “worst” or, in other words, the “most detrimental” imperfection that reduces the critical load most rapidly. Such a worst imperfection has been formulated in Chapter 4 for simple critical points. Since multiple critical points appear generically for symmetric structures, such as domes and shell structures, the worst imperfection of a multiple critical point has drawn keen engineering interest.


Critical Load Bifurcation Point Double Point Equilibrium Path Initial Imperfection 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Kiyohiro Ikeda
    • 1
  • Kazuo Murota
    • 2
  1. 1.Department of Civil EngineeringTohoku UniversityAoba SendaiJapan
  2. 2.Department of Mathematical InformaticsUniversity of TokyoTokyoJapan

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