Model of chatter vibrations and stability analysis of a non-linear wiper system

Sébastien Berger (1) , Pascal Ragot (1) , Jean-Jacques Sinou (2) , Evelyne Aubry (1)

1 MIPS - Modélisation, Intelligence, Processus et Système
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

This paper presents a two dimensional phenomenological non-linear model of a windscreen wiper system. This non-linear model describes the instabilities arising from the frictional contact between the glass and the rubber. The objective of this paper is to illustrate the fact that a very simple non-linear phenomenological system may be used to model and simulate chatter vibrations for wiper systems stability analysis. First, the complete non-linear phenomenological system which represents the non-linear wiper system is described. Then, the stability analysis of the system is performed by considering the eigenvalues of the linearized system around the non-linear equilibrium points. Finally, the non-linear behaviour of the mechanical system which corresponds to the “limit cycles” is investigated using a Runge-Kutta method.

Mots clés: vibration; friction; limit cycles; mechanical system; stability analysis

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Sébastien Berger, Pascal Ragot, Jean-Jacques Sinou, Evelyne Aubry. Model of chatter vibrations and stability analysis of a non-linear wiper system. International Review of Mechanical Engineering, 2008, 2 (3), pp.349-356. ⟨hal-00324085⟩