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Necessary and Sufficient Conditions for Zero‐stiffness Postbuckling
Author(s) -
Jia Xin,
Höfinger Gerhard,
Mang Herbert A.
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010079
Subject(s) - sensitivity (control systems) , zero (linguistics) , stiffness , structural engineering , path (computing) , mathematics , control theory (sociology) , computer science , engineering , control (management) , philosophy , linguistics , electronic engineering , artificial intelligence , programming language
In the course of sensitivity analysis of the initial postbuckling behavior of elastic structures, a special case may occur which is referred to as zero‐stiffness postbuckling. The purpose of this paper is to present sufficient and necessary conditions for this special case which is associated with a favorable form of transition from imperfection sensitivity to imperfection insensitivity in the course of sensitivity analysis of the initial postbuckling path. Koiter's initial postbuckling analysis is chosen as the vehicle for quantification of the initial postbuckling behavior. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)