Safety-design criteria of sliding systems for preventing friction-induced vibration

In order to acquire safety-design criteria for preventing friction-induced vibration, dimensionless analysis and numerical simulation have been conducted for a single-degree-of-freedom system with friction. The model includes the discontinuity between static and kinetic friction and the dependence of the kinetic friction coefficient on the relative velocity. Dimensionless description reduces the number of parameters from nine to five; four of the five dimensionless parameters control the occurrence limit of friction-induced vibration. We have derived the occurrence-limit equation on the basis on a previous study on stick–slip in the Coulomb friction model, and we have constructed the discriminant inequalities with the four parameters. They are sufficient conditions for preventing friction-induced vibration, i.e., not only stick–slip but also instability of steady sliding; they are expected to provide safety-design criteria of sliding systems with high usability and high accuracy.