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Reliability based limit analysis of steel frames with limited residual strain energy capacity
Author(s) -
Lógó János,
Vásárhelyi Anna,
Rad Majid Movahedi,
Stocki Rafal
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810041
Subject(s) - limit analysis , structural engineering , limit (mathematics) , reliability (semiconductor) , constraint (computer aided design) , residual , nonlinear system , upper and lower bounds , limit load , strain energy , mathematics , finite element method , mathematical optimization , engineering , mathematical analysis , algorithm , physics , geometry , thermodynamics , power (physics) , quantum mechanics
The main structural elements of steel framed multi–storey structures are the columns, the beams and their connectionsmagenta, which can be considered rigid, pinned or semi–rigid. The aim of this paper is to analyze the effect of the semi–rigid connections on the limit analysis of steel structures under multi–parameter static loading where to control the plastic behavior of the structure a bound on the complementary strain energy of the residual forces is applied. The bound value is assumed to be uncertain and is modelled by a random variable. By the use of this constraint a reliability based problem formulation is constructed. The formulation of the problem yields a nonlinear mathematical programming with a nested algorithm. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)