Study of nonlinear behaviors and modal reductions for friction destabilized systems. Application to an elastic layer

Andréa Loyer (1, 2, 3) , Jean-Jacques Sinou (1) , Olivier Chiello (2) , Xavier Lorang (3)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 IFSTTAR/LTE - Laboratoire Transport et Environnement
3 R&D - SNCF - Département recherche et développements

As noise reduction tends to be part of environmental directives, predicting squeal noise generated by disc brakes is an important industrial issue. It involves both the transient and stationary nonlinear dynamics of self-excited systems with frictional contact. Time simulation of the phenomenon is an attractive option for reducing experiment costs. However, since such computations using full finite element models of industrial disc brake systems is time-consuming, model reduction has to be performed. In this paper, both the transient and stationary nonlinear behaviors of the friction destabilized system and the effect of dynamical reduction on the nonlinear response of a simple friction destabilized system are carried out. The first part provides a description of the general modeling retained for friction destabilized systems. Then, discretization and solving processes for the stability analysis and the temporal evolution are presented. The third part presents an analysis of a sliding elastic layer for different operating conditions, in order to better understand the nonlinear behavior of such systems. Finally, spatial model reduction is performed with different kinds of reduction bases in order to analyze the different effects of modal reductions. This clearly shows the necessity of including static modes in the reduction basis and that nonlinear interactions between unstable modes are very difficult to represent with reduced bases. Finally, the proposed model and the associated studies are intended to be the benchmark cases for future comparison.

Mots clés: structural dynamic; friction-induced vibration; reduction

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

Andréa Loyer, Jean-Jacques Sinou, Olivier Chiello, Xavier Lorang. Study of nonlinear behaviors and modal reductions for friction destabilized systems. Application to an elastic layer. Journal of Sound and Vibration, 2012, 331 (5), pp.1011-1041. ⟨10.1016/j.jsv.2011.10.018⟩. ⟨hal-00649091⟩