Analyzing the dynamic response of a rotor system under uncertain parameters by Polynomial Chaos Expansion

Jérôme Didier (1) , Béatrice Faverjon (2) , Jean-Jacques Sinou (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

In this paper, the quantification of uncertainty effects on response variability in rotor systems is investigated. To avoid the use of Monte Carlo simulation (MCS), one of the most straightforward but computationally expensive tools, an alternative procedure is proposed. MCS builds statistics from responses obtained from sampling uncertain inputs by using a large number of runs. However, the method proposed here is based on the stochastic finite element method using polynomial chaos expansion. The efficiency and robustness of the method proposed is demonstrated through different numerical simulations in order to analyse the random response against uncertain parameters and random excitation to assess its accuracy and calculation time.

Mots clés: dynamique des structures; incertitudes; rotor

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique [physics.med-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Systèmes dynamiques [math.DS]

Jérôme Didier, Béatrice Faverjon, Jean-Jacques Sinou. Analyzing the dynamic response of a rotor system under uncertain parameters by Polynomial Chaos Expansion. Journal of Vibration and Control, 2012, 18 (5), pp.587-607. ⟨10.1177/1077546311404269⟩. ⟨hal-00677063⟩