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A mathematical programming computational model for disproportionate collapse analysis of steel building frames

TitleA mathematical programming computational model for disproportionate collapse analysis of steel building frames
Publication TypeJournal Article
Year of Publication2012
AuthorsGerasimidis S, Ampatzis A., Bisbos CD
JournalOptimization Letters
Volume6
Issue3
Start Page525
Pagination525-535
Date Published03/2012
ISSN1862-4472
KeywordsDamaged steel frames, disproportionate collapse analysis, limit analysis, Linear programming, Robustness
Abstract

Disproportionate collapse analysis aims to assure that frames, a common structural system of buildings, can survive unforeseen local events and a central modeling tool of such abnormal deterioration is the concept of column loss. This paper formulates an appropriate computational model on the basis of mathematical optimization, using the collapse load analysis problem of steel frames with pre-existing damage. A respective collapse load robustness measure is proposed. The model has the ability to consider both full and partial column/node removals. It renders to be a linear programming model, if the US steel design regulations are used. A practical example is presented and several aspects are discussed.

DOI10.1007/s11590-011-0278-2