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A comparative study of bounding techniques in dynamic shakedown of elasto‐plastic structures
Author(s) -
Corradi Leone,
Nova Roberto
Publication year - 1974
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290030204
Subject(s) - shakedown , bounding overwatch , sequence (biology) , extension (predicate logic) , range (aeronautics) , basis (linear algebra) , limit (mathematics) , computer science , matrix (chemical analysis) , interval (graph theory) , structural engineering , mathematical optimization , algorithm , mathematics , engineering , finite element method , geometry , mathematical analysis , materials science , artificial intelligence , biology , composite material , genetics , programming language , aerospace engineering , combinatorics
Abstract Two conceptually different procedures to obtain upper bounds to displacements and deformations developed in the dynamic evolution of elasto‐plastic structures are considered. Computationally, both methods require the dynamic analysis of a linear system and a sequence of constrained optimization problems, each roughly analogous to a limit analysis procedure in the quasi‐static range, with a substantial saving in effort when compared to an incremental analysis of the plasto‐dynamic response. A discrete model for frames is proposed and the two approaches are reformulated in a convenient matrix form. The approaches are then compared on the basis of the information needed (total or plastic displacements, deformations, dissipated energy), of the usefulness of results obtained and of the computational effort involved. The results seem to indicate the practical usefulness of these techniques and encourage the extension of the study to broader classes of structures.