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Imperfection sensitivity due to coupled local instability: a non‐convex QP solution algorithm
Author(s) -
Casciaro Raffaele,
Mancusi Giovanna
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1650
Subject(s) - maxima and minima , simplex , buckling , mathematics , quadratic equation , sensitivity (control systems) , set (abstract data type) , regular polygon , mathematical optimization , instability , algorithm , computer science , combinatorics , mathematical analysis , structural engineering , geometry , engineering , physics , electronic engineering , mechanics , programming language
The paper deals with the collapse safety of slender elastic structures subjected to local buckling interaction. Using Koiter's asymptotic approach, the mechanical problem is reduced to the search for all the local minima of an indefinite quadratic form over the unit simplex. An efficient recursive branch‐and‐cut algorithm is proposed for solving this non‐convex QP problem, allowing a numerical procedure providing statistical information about the collapse load for a given distribution of random imperfections to be set up. Copyright © 2006 John Wiley & Sons, Ltd.