@inbook{ea051d9962484b98be84b9d1291df8f3,

title = "Random imperfection (II)",

abstract = "The critical load of a structure is subject to a probabilistic scatter when it is modeled as a function of several random imperfections. For structures with dihedral group symmetry, this chapter offers a procedure to obtain the probability density function of the critical load. The procedure for simple critical points in Chap. 5 is extended to double bifurcation points that appear in these structures. The present procedure is applied to truss structures and cylindrical specimens of sand and concrete. Chapters 7 – 10 are foundations of this chapter.",

keywords = "Concrete specimen, Critical load, Dihedral group, Distribution of minimum values, Double bifurcation point, Imperfection, Imperfection sensitivity law, Probability density function, Random imperfection, Sand specimen, Truss structure",

author = "Kiyohiro Ikeda and Kazuo Murota",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/978-3-030-21473-9_11",

language = "English",

series = "Applied Mathematical Sciences (Switzerland)",

publisher = "Springer",

pages = "317--334",

booktitle = "Applied Mathematical Sciences (Switzerland)",

}