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Vibrations and Stability at the
Bulk and at the Interface
The purpose of this chapter is to introduce the mathematical background
and physical concepts for the study of friction-induced vibrations, instabili-
ties, and self-organization. These three phenomena are inter-related. Linear
vibrations and waves caused by friction can become unstable under certain
circumstances. In that case, the amplitude of vibration may grow unlimit-
edly within the linear vibration and stability analysis. However, the linear
models are based on the assumption that the amplitudes of the vibrations
are small. With the growing amplitude, this assumption will not be ...