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Extension of the Lack of Knowledge (LOK) theory to force uncertainties

Extension of the Lack of Knowledge (LOK) theory to force uncertainties

Authors :
Ladevèze, Pierre
Enjalbert, Paul
Puel, Guillaume
Romeuf, Thierry
Laboratoire de Mécanique et Technologie (LMT)
École normale supérieure - Cachan (ENS Cachan)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
Laboratoire de mécanique des sols, structures et matériaux (MSSMat)
CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)
EADS Space Transportation
EADS - European Aeronautic Defense and Space
Source :
Proceedings of IMAC XXIV-Conference & Exposition on Structural Dynamics, IMAC XXIV-Conference & Exposition on Structural Dynamics, IMAC XXIV-Conference & Exposition on Structural Dynamics, 2006, Saint-Louis, United States. pp.CD-ROM
Publication Year :
2006
Publisher :
HAL CCSD, 2006.

Abstract

International audience; This paper deals with the structural modeling of a family of similar, actual structures taking into account uncertainties and modeling errors. The concept of Lack Of Knowledge (LOK), first introduced in [1,2], consists in globalizing the various sources of errors on the substructure using internal variables, called the LOK variables, defined over an interval whose upper and lower bounds follow probabilistic laws. From these basic LOK, we can derive for the whole structure the effective LOK for a quantity of interest a, resulting in an interval with stochastic bounds that we can compare with experimental values. First, errors on the ”structural stiffness” have been considered [1,2,4]. Here we go further, extending the concept of LOK to modelize errors on applied forces, the mathematical framework being the same.

Details

Language :
English
Database :
OpenAIRE
Journal :
Proceedings of IMAC XXIV-Conference & Exposition on Structural Dynamics, IMAC XXIV-Conference & Exposition on Structural Dynamics, IMAC XXIV-Conference & Exposition on Structural Dynamics, 2006, Saint-Louis, United States. pp.CD-ROM
Accession number :
edsair.dedup.wf.001..833e8ff8b388c5bbbe54341b93e0a5c0