Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities

Abstract

A numerical study of dynamic instabilities and vibrations of mechanical systems with friction is presented. Of particular interest are friction-induced vibrations, self-excited oscillations and stick-slip motion. A typical pin-on-disk apparatus is modeled as the assembly of rigid bodies with elastic connections. An extended version of the Oden-Martins friction model is used to represent properties of the interface. The mechanical model of the frictional system is the basis for numerical analysis of dynamic instabilities caused by friction and of self-excited oscillations. Coupling between rotational and normal modes is the primary mechanism of resulting self-excited oscillations. These oscillations combine with high-frequency stick-slip motion to produce a significant reduction of the apparent kinetic coefficient of friction. As a particular study model, a pin-on-disk experimental setup has been selected. A good qualitative and quantitative correlation of numerical and experimental results is observed.

Contact stresses: a short survey of models and methods of computations

“…regularization, linearization, etc. Vibrating systems with friction are considered as rigid bodies or deformable structures, see Dahl [11], Lötstet [101], Popp and Stelter [102], Armstrong-Hélouvry [23], Ibrahim [24], Tworzydlo et al [103], Ferri [104], Bajer [64], Feeny et al [105], Dankowicz [78], Bogacz and Ryczek [106], Gaul and Nitsche [107], Berger [108], Awrejcewicz and Sendkowski [109], Bauchau and Ju [110], Wojewoda [18].…”

On the minimal model for the low frequency wobbling instability of friction discs

“…Great attention was paid in the past to the various dynamic phenomena in the slider -disk contact [6 -11]. The main applications here are the standard test rigs for measurement of the friction coefficient [8], friction brakes [10] and magnetic disk drives [9]. Various instabilities usual in automotive drive trains can be split at least into two groups.…”

A Model of Adhesion Excited Micro-vibrations

“…Another macroscopic model is the one proposed by Oden and Martins, which defines normal and tangential interface laws [7]. While, such models are well suited to describe the phenomenon of stick-slip and squeal generation [6,8], they are not appropriate for describing small perturbations around the steady sliding equilibrium position [8].…”