Geometric nonlinear dynamic analysis of uncertain structures with cyclic symmetry - Application to a mistuned industrial bladed disk

Evangéline Capiez-Lernout (1) , Christian Soize (1) , M. Mbaye (2)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 Turbomeca

This paper deals with the dynamical analysis of a mistuned industrial rotating integrally bladed disk, for which the operating regime under consideration takes into account the nonlinear geometrical effects induced by large displacements and deformations. First, a dedicated mean nonlinear reduced-order model of the tuned structure is explicitly constructed using the finite element method. The random nature of the mistuning is then modeled by using the nonparametric probabilistic approach extended to the nonlinear geometric context. The capability of the methodology to be applied to realistic industrial models is demonstrated through the paper. The dynamic analysis of the random response is then conducted in the frequency domain in order to quantify the impact of the nonlinear geometrical effects on the mistuned structure.

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]

Evangéline Capiez-Lernout, Christian Soize, M. Mbaye. Geometric nonlinear dynamic analysis of uncertain structures with cyclic symmetry - Application to a mistuned industrial bladed disk. International Conference on Uncertainty in Structural Dynamics, USD2014, Sep 2014, Leuven, Belgium. pp.1-14. ⟨hal-01066543⟩