Lack of knowledge in structural model validation

Pierre Ladevèze (1) , Guillaume Puel (1, 2) , Thierry Romeuf (3)

1 LMT - Laboratoire de Mécanique et Technologie
2 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
3 EADS Space Transportation

This paper deals with the structural modeling of a family of similar, actual structures taking into account uncertainties and modeling errors. Only errors of the “structural stiffness” type are considered. We develop a new theory in which what we call the lack of knowledge (LOK) is defined through an internal variable, whose upper and lower bounds are stochastic, associated with each substructure. Two main questions are discussed: the impact of the basic LOKs on the predicted structural response and the reduction of the basic LOKs through the use of additional information.

Domaines: Vibrations [physics.class-ph]

Pierre Ladevèze, Guillaume Puel, Thierry Romeuf. Lack of knowledge in structural model validation. Computer Methods in Applied Mechanics and Engineering, 2006, 195 (37-40), pp.4697-4710. ⟨10.1016/j.cma.2005.10.017⟩. ⟨hal-00258641⟩