Self-Excited Vibration of the Three-Degrees of Freedom System

Stick-slip vibration is an important issue which shall be considered in applications requiring high-precision motion. A straight-forward example is presented for the understanding of this phenomena specially in complex systems. A three-degrees of freedom mass-damper-spring is considered. This system is excited by a friction force imposed from a moving surface. The vibration response and velocity of system’s components under various initial conditions will be calculated and reported. The effect of initial conditions, velocity of moving surface and its coefficient of friction will be studied and discussed. The result of this study provides a general structure for vibro-acoustical analysis of self-excited vibrating systems. Friction-Induced Vibrations, Self-Excited systems, Stick-Slip, Chaotic Dynamics