On random imperfections for structures of regular-polygonal symmetry

Kazuo Murota, Kiyohiro Ikeda

研究成果: Article査読

16 被引用数 (Scopus)

抄録

A theoretical study is made on the effect of random initial imperfections on the load-bearing capacities of structures of regular-polygonal symmetry. The group-theoretic method is employed to implement the symmetry in the formulation. In view of the concept of critical initial imperfection, the explicit form of probability density function of the load-bearing capacity of structures is derived for random initial imperfections. In particular, tight bounds on the range of load-bearing capacity are presented for various types of simple and double critical points. The theoretical and empirical probability distribution functions are compared for simple truss structures to show the validity and effectiveness of the present method.

本文言語English
ページ(範囲)1780-1803
ページ数24
ジャーナルSIAM Journal on Applied Mathematics
52
6
DOI
出版ステータスPublished - 1992 1月 1
外部発表はい

ASJC Scopus subject areas

  • 応用数学

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