Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction

Friction-induced vibration of mechanical systems has significant academic appeal and industrial implications. This paper presents a novel approach to studying the friction-induced planar vibrations of a two-rigid-disc system with a finite contact area. In this approach, a set of discrete two-dimensional LuGre models are introduced to calculate the dynamics of the system, eliminating the need for a stick–slip transition criterion required by static friction models. Complex eigenvalue analysis and transient dynamic analysis are performed to analyse the linear stability and bifurcation properties of the system. The spatial variation of the coefficient of friction is also considered, modelled for the first time as an interval field and is found to greatly impact the system’s stick–slip behaviour and cause oscillations around equilibrium points.