Robust analysis of design in vibration of turbomachines

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

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

In the context of turbomachinery design, a small variation in the blade characteristics due to manufacturing tolerances can affect the structural symmetry creating mistuning which increases the forced response. However, it is possible to detune the mistuned system in order to reduce the forced response amplification. The main technologic solutions to introduce detuning are based on modifying blade material properties, the interface between blade and disk, or the blade shape. This paper presents a sensitivity analysis of mistuning for a given detuning in unsteady aeroelasticity. Detuning is performed by modifying blade shapes. The different kinds of blades obtained by those modifications are then distributed on the disk circumference. A new reduced-order model of the detuned disk is constructed using the cyclic modes of the different sectors which can be obtained from a usual cyclic symmetry modal analysis. Finally a stochastic analysis using a nonparametric probabilistic method to take model and system parameters uncertainties into account in the computational model is performed.

Mots clés: uncertainty quantification; mistuned bladed disk; turbomachinery; random vibration; nonparametric probabilistic approach; model uncertainties; modeling errors; random matrix; robust analysis; computational structural dynamics

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

M. Mbaye, Christian Soize, J.-P. Ousty, Evangéline Capiez-Lernout. Robust analysis of design in vibration of turbomachines. 54th ASME Turbo Expo 2009, ASME, Jun 2009, Orlando, FL, United States. pp.387-396. ⟨hal-00684506⟩