Critical Initial Imperfection (I)

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


The critical load of a system undergoing bifurcation is highly sensitive to initial imperfections, as we have seen in Chapter 3. This is particularly the case for domes and shell structures (Hutchinson and Koiter, 1970 [76]). In the design of such structures, it is preferable to consider the “worst” or, in other words, “most detrimental” imperfection that reduces the critical load most rapidly. Such worst imperfection is called the critical imperfection in this book.


Critical Load Limit Point Bifurcation Point Initial Imperfection Perfect System 
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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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