Periodic and quasi-periodic solutions for multi-instabilities involved in brake squealReport as inadecuate




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1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes 2 PSA - PSA Peugeot - Citroën

Abstract : This paper is devoted to the computation of nonlinear dynamic steady-state solutions of autonomous systems subjected to multi-instabilities and proposes a new nonlinear method for predicting periodic and quasi-periodic solutions intended for application to the disc brake squeal phenomenon. Firstly, finite element models of a pad and a disc are reduced to include only their contact nodes by using a Craig and Bampton strategy. Secondly, a complex eigenvalue analysis is performed showing two unstable modes for a wide range of friction coefficients, after which a Generalized Constrained Harmonic Balance Method GCHBM is presented. This method can compute nonlinear periodic or pseudo-periodic responses depending on the number of unstable frequencies. The numerical results are in good agreement with those of time marching methods.

Keywords : friction non-linear dynamic squeal





Author: Nicolas Coudeyras - Samuel Nacivet - Jean-Jacques Sinou -

Source: https://hal.archives-ouvertes.fr/



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