On the Occurrence Conditions of Stick-Slip Phenomena

Abstract

Self-excited oscillations caused by solid friction are treated theoretically. A model, in which solid friction and spring force are applied to a block lying on a moving surface, is used to represent this class of mechanical problem. The solid friction force concidered is assumed to vary with the relative sliding velocities between two solid bodies, namely the friction-velocity characteristics is given by a polygon having two straight line segments and the critical value of static friction is equal to, or different from the value of kinetic friction without slipping. Several types of limit cycles and the regions in which they occur are shown in figures according to the characteristics of the friction-velocity function.