Stick-slip motion in one-dimensional continuous systems and in systems with several degrees of freedom

Stick-slip is the name for a vibration phenomenon characterized by a jerky motion in systems that are required to perform uniform sliding at, in most cases, low sliding velocities. This jerky motion is caused firstly by the dependence of the frictional force on the sliding velocity and secondly by the elastic and damping properties of the system. There are many cases where this stick-slip motion can be seen; one of the most investigated examples is the feeding mechanism in machining processes. More trivial examples are the bow sliding on a string of a violin, the chalk sliding on a chalkboard, and squealing brakes. Another example is long moving assembly lines in factories, where stick-slip motion sometimes occurs