A modified LuGre friction model for an accurate prediction of friction force in the pure sliding regime

• A modified version of LuGre friction model (LuGre-Mod) is proposed.
• LuGre model can only show counter-clockwise hysteretic loop, where our one, LuGre-Mod, can also exhibit clockwise behaviour.
• Linear analysis shows stability change via Hopf bifurcation.
• Linear term in LuGre-Mod model plays crucial role in system stability.

We propose a new friction model based on the well known LuGre friction model that can accurately describe the nature of friction force in the gross sliding regime. The modification is based on the responses observed from a single degree-of-freedom friction-induced vibration system. Numerical analysis shows that the friction curve in the gross sliding regime can only show counter clockwise hysteretic loops without violating other essential features. We then develop a new friction model by modifying the LuGre friction model that can describe both clockwise as well as counter clockwise hysteretic loops in the pure sliding domain.