@inbook{3e44fa299865416387b3d2d22090e66c,

title = "Experimentally observed bifurcation diagrams",

abstract = "There is a qualitative gap between mathematical bifurcation diagrams and experimentally observed force versus displacement curves. This chapter introduces a procedure to fill this gap by extending the Koiter law for describing imperfection sensitivity at a pitchfork bifurcation point. This procedure is applied to a truss dome structure and sand specimens. Chapters 2 and 3 are foundations of this chapter. This chapter is extended to a system with group symmetry in Chap. 9 and is applied to the imperfect bifurcation of cylindrical specimens in Chap. 14.",

keywords = "Bifurcation diagram, Imperfection, Imperfection sensitivity, Koiter law, Pitchfork bifurcation, Sand specimen, Truss dome",

author = "Kiyohiro Ikeda and Kazuo Murota",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/978-3-030-21473-9_6",

language = "English",

series = "Applied Mathematical Sciences (Switzerland)",

publisher = "Springer",

pages = "141--164",

booktitle = "Applied Mathematical Sciences (Switzerland)",

}