Estimation of self-sustained vibration for a finite element brake model based on the shooting method with a reduced basis approximation of initial conditions

Lucien Charroyer (1) , Olivier Chiello (1) , Jean-Jacques Sinou (2)

1 UMRAE - Unité Mixte de Recherche en Acoustique Environnementale
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The objective of this paper is to discuss and propose an original nonlinear method for the estimation of nonlinear vibrations for mechanical systems subject to friction-induced noise and vibration. To fulfill such an objective the computation of nonlinear dynamic steady-state solutions of autonomous non-smooth contact systems prone to mono-instability is performed by developing an extension of the shooting method. This adaptation consists in using a reduced basis in the iterative process of this nonlinear method in order to seek the unknown initial conditions that verify condition of periodicity of the nonlinear solution of the problem. Efficiency of the proposed approach is illustrated through numerical examples for the prediction of self-sustained vibrations of a railway braking system.

Mots clés: FRICTION-INDUCED VIBRATION; NONLINEAR DYNAMICS; SHOOTING METHOD; REDUCTION METHOD; BRAKE SQUEAL; RAILWAY NOISE

Mots clés: VIBRATION; SYSTEME NON LINEAIRE; FREIN; TRANSPORT FERROVIAIRE

Domaines: Sciences de l'ingénieur [physics]; Acoustique [physics.class-ph]

Lucien Charroyer, Olivier Chiello, Jean-Jacques Sinou. Estimation of self-sustained vibration for a finite element brake model based on the shooting method with a reduced basis approximation of initial conditions. Journal of Sound and Vibration, 2020, 468, pp.115050. ⟨10.1016/j.jsv.2019.115050⟩. ⟨hal-02380585⟩