In-Plane Stick-Slip Vibration on the Surface of a Flexible Disc Clamped Between Elastic Sliders

Abstract

Abstract The in-plane stick-slip vibration of two slider systems which are driven together around the surfaces of either side of a flexible vibrating disc, and the induced transverse vibration of the disc, are investigated. The disc is taken to be an elastic annular plate and each slider has flexibility in the circumferential (in-plane) and transverse directions. The static friction coefficient is assumed to be higher than the kinetic friction coefficient. Because of the friction force acting between the disc and the slider systems, the sliders will oscillate in the stick-slip mode in the plane of the disc. The transverse vibration induced by the oscillating sliders will change the normal forces of the slider systems acting on the disc, which in turn will change the in-plane oscillation of the sliders. Therefore, the in-plane oscillation of the sliders and the transverse vibration of the disc are coupled. For different values of system parameters, the coupled in-plane oscillation of the sliders and transverse vibration of the disc will exhibit quasi-periodic as well as chaotic behaviour. Typical patterns of chaotic vibration of the slider systems and of the disc are presented in graphs to illustrate the special behaviour of this non-smooth, nonlinear dynamical system. The physical model represents a car disc brakes.