Robust updating of computational models with uncertainties for dynamical systems

Evangéline Capiez-Lernout (1) , Christian Soize (1)

1 LaM - Laboratoire de Mécanique

This paper deals with the robust updating of stochastic computational models of composite sandwich panels in the context of structural dynamics in the low- and medium-frequency range, for which experimental results are available. The uncertain computational model is constructed using the nonparametric probabilistic approach which takes into account model and data uncertainties. The formulation of the robust updating problem includes the effects of uncertainties and consists in minimizing a cost function with respect to an admissible set of updating parameters. Several cost functions are constructed, validated and compared using the experimental results. The results of the robust updating problem shows that the methods proposed are efficient for updating the computational model in both low- and medium-frequency range.

Mots clés: uncertainty quantification; robust updating; composite sandwich materials; low frequency: medium frequency; structural dynamics; random vibration; nonlinear stochastic dynamics; coupled dynamical systems; random unceratinties; nonparametric probabilistic method; model uncertainties; modeling errors; random matrix

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]

Evangéline Capiez-Lernout, Christian Soize. Robust updating of computational models with uncertainties for dynamical systems. COMPDYN 2007, Computational Methods in Structural Dynamics and Earthquake Engineering, Rethymno, Crete, Greece, June 13-15, 2007,, Jun 2007, Rethymno, Crete, Greece. pp.Pages: 1-12. ⟨hal-00689722⟩