Non-conservative beating in sliding friction affected systems: transient amplification of vibrational energy and a technique to determine optimal initial conditions

摘要

Systems with friction are non-conservative as a consequence of the fundamental character of friction as a physical phenomenon: usually friction is associated with dissipative effects, but sometimes also with self-excitation. The present paper deals with the effect that sliding friction has on beating phenomena, which are very common in multidimensional systems with imperfect symmetries. It turns out that sliding friction has a significant influence on the energy budget of beating states, it may even lead to substantial transient amplification of the total vibrational energy. After describing the phenomenon a technique is provided to determine the initial conditions leading to optimal transient amplification of vibrational energy in sliding friction affected beating oscillations. Also intuitive as well as formal explanations for the effect's mechanism are given.