Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping - Archive ouverte HAL
Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2007

Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping

Résumé

Friction-induced vibrations due to coupling modes can cause severe damage and are recognized as one of the most serious problems in industry. In order to avoid these problems, engineers must find a design to reduce or to eliminate mode coupling instabilities in braking systems. Though many researchers have studied the problem of friction-induced vibrations with experimental, analytical and numerical approaches, the effects of system parameters, and more particularly damping, on changes in stable-unstable regions and limit cycle amplitudes are not yet fully understood. The goal of this study is to propose a simple non-linear two-degree-of-freedom system with friction in order to examine the effects of damping on mode coupling instability. By determining eigenvalues of the linearized system and by obtaining the analytical expressions of the Routh-Hurwitz criterion, we will study the stability of the mechanical system's static solution and the evolution of the Hopf bifurcation point as functions of the structural damping and system parameters. It will be demonstrated that the effects of damping on mode coupling instability must be taken into account to avoid design errors. The results indicate that there exists, in some cases, an optimal structural damping ratio between the stable and unstable modes which decreases the unstable region. We also compare the evolution of the limit cycle amplitudes with structural damping and demonstrate that the stable or unstable dynamic behaviour of the coupled modes are completely dependent on structural damping.
Fichier principal
Vignette du fichier
Mode_coupling_instability_in_friction-induced_vibrations_and_its_dependency_on_system_parameters_including_damping.pdf (1.12 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00207759 , version 1 (18-01-2008)

Identifiants

Citer

Jean-Jacques Sinou, Louis Jezequel. Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping. European Journal of Mechanics - A/Solids, 2007, 26 (1), pp.106-122. ⟨10.1016/j.euromechsol.2006.03.002⟩. ⟨hal-00207759⟩
291 Consultations
1312 Téléchargements

Altmetric

Partager

More