IJPAM: Volume 42, No. 3 (2008)

ANALYSIS OF FRICTION-INDUCED SELF-GENERATED
VIBRATIONS ORIGINATED FROM
MODE-COUPLING IN CLUTCHES

B. Hervé$^1$Valeo Transmissions, Route de Poulainville, Amiens Cedex 1, 80009, FRANCE, J.-J. Sinou$^2$, H. Mahé$^3$, L. Jézéquel$^4$
$^{1,2,4}$Laboratoire de Tribologie et Dynamique des Systèmes
UMR CNRS 5513
36 Avenue Guy de Collongue, Écully, 69134, FRANCE
$^2$e-mail: jean-jacques.sinou@ec-lyon.fr
$^4$e-mail: louis.jezequel@ec-lyon.fr
$^{1,3}$Valeo Transmissions
Route de Poulainville, Amiens Cedex 1, 80009, FRANCE
$^1$e-mail: benjamin.herve@valeo.com
$^3$e-mail: herve.mahe@valeo.com


Abstract.The present study deals with an audible disturbance known as automotive clutch squeal noise. A two-degrees-of-freedom phenomenological model is exposed highlighting a non conservative coupling due to the friction forces, as well as gyroscopic effects. Then, a parametric study of the stability domain is performed by application of the Hartman-Grobman Theorem, analytically and numerically. Important information is obtained on the role of the structural damping regarding the fluttering destabilization, relatively to the coupling actions and especially the gyroscopic coupling. Furthermore, a non-linear integration method is proposed in order to determine the limit cycle arising beyond the Hopf's bifurcation point and allowing characterizing the steady vibrations. Finally, some practical design recommendations are provided in order to reduce the propensity of clutches to squeal.

Received: August 17, 2007

AMS Subject Classification: 70K42

Key Words and Phrases: mode coupling instability, limit cycle

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3