Friction-induced vibration of a stick-slip oscillator with random field friction modelling

In this paper, stochastic planar stick-slip motions are investigated using a slider-on-belt model where the coefficient of friction (COF) of the contact interface is modelled as a random field. New three-variable stick-slip transition criteria are proposed to improve the accuracy and robustness of the algorithm. Stochastic analyses are performed concerning the Peak-to-Valley value of the displacement and friction forces and the time duration of the stick state. It is found that the correlation length of the COF random field is dominantly responsible for the stochastic behaviours of the system. In contrast, the belt velocity and the mean value of the COF have a significant influence on the time duration of the stick state compared with the corresponding deterministic slider-on-belt model.

Automated summary

This study investigates stochastic planar stick-slip motions using a slider-on-belt model, where the coefficient of friction (COF) at the contact interface is modeled as a random field. New three-variable stick-slip transition criteria are proposed for improved accuracy and robustness. Stochastic analyses are performed on the Peak-to-Valley displacement and friction forces, as well as the duration of the stick state. The results show that the correlation length of the COF random field is the primary factor influencing the system's stochastic behavior, while the belt velocity and mean COF value significantly affect the stick state duration compared to the deterministic model.