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

• Published in: Journal of sound and vibration Vol. 468; p. 115050
• Main Authors: Charroyer, L., Chiello, O., Sinou, J.-.J.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 03.03.2020; Elsevier Science Ltd; Elsevier
• Subjects: Acoustics; Brake system; Braking; Dynamic stability; Dynamical systems; Engineering Sciences; Estimating techniques; Finite element analysis; Finite element method; Friction-induced vibration; Initial conditions; Iterative methods; Mechanical systems; Mechanics; Nonlinear analysis; Nonlinear dynamics; Nonlinear systems; Periodic variations; Physics; Reduced basis; Shooting method; Vibration; Brake system; Reduced basis; Shooting method; Friction-induced vibration; Nonlinear analysis; SHOOTING METHOD; SYSTEME NON LINEAIRE; NONLINEAR DYNAMICS; REDUCTION METHOD; VIBRATION; BRAKE SQUEAL; FRICTION-INDUCED VIBRATION; RAILWAY NOISE; TRANSPORT FERROVIAIRE; FREIN
• ISSN: 0022-460X; 1095-8568; 1095-8568
• DOI: 10.1016/j.jsv.2019.115050

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.