On the Self-Synchronization of Mechanical Vibrators : Part 3, Forced Frictional Vibrations

Abstract

In this paper the forced frictional vibrations acting upon friction, which is generally expressed as a function of relative sliding velocities, are treated from the point of view of self-synchronization. First of all, the vibrations are considered as approximately a combination of two simple harmonic vibrations, one with the frequency of free vibration, the other with the frequency of excitation. The motion is considered as a bration with the frequency of excitation with slowly varying amplitude and plase, and a certain zone of synchronization is determined next. Further an experiment is conducted to verify the result of analysis.