Statistics of normally distributed initial imperfections
type: Item
instance of: scholarly article
title: Statistics of normally distributed initial imperfections
zbMATH Open document ID: 0781.73030
DOI: 10.1016/0020-7683(93)90160-9
author: Kiyohiro Ikeda
author: Kazuo Murota
published in: International Journal of Solids and Structures
publication date: 1994-02-10T00:00:00Z
review text: This paper offers a theoretical study on the probabilistic nature of critical loads (buckling loads) of structures subject to normally distributed initial imperfections. Explicit forms of probability density function of critical loads are derived for various types of critical points. Double bifurcation points of structures with regular-polygonal symmetry are dealt with by means of the group-theoretic bifurcation theory. The distribution of minimum values of the critical loads is investigated to present a statistical design index.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74A40
zbMATH DE Number: 473174
zbMATH Keywords: critical loads
zbMATH Keywords: probability density function
zbMATH Keywords: double bifurcation points
zbMATH Keywords: regular-polygonal symmetry
zbMATH Keywords: group-theoretic bifurcation theory
zbMATH Keywords: statistical design index
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90160-9
OpenAlex ID: W1985672721
description: scientific article; zbMATH DE number 473174