Oscillations Caused by Solid Friction : Part 3, In the Case of Maximum Static Friction Different from Kinetic Friction without Slipping

Abstract

This paper concerns theoretically with self-excited oscillations caused by solid friction. A model, in which solid friction and spring force are applied to a block lying on a moving belt, is used to represent this class of mechanical problem. The solid friction force considered is assumed to vary with the relative sliding velocities between two solid bodies, namely, the friction-velocity characteristic is given by a polygon having two straight line segments and the critical value of static friction is 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. The appearances of amplitudes and periods of limit cycles are also described in nondimensional forms against the velocity of a moving belt for various characteristics of the friction-velocity function.