Dynamic hysteresis model derivated from lugre model

This paper presents a dynamic hysteresis model; which is a modification of the well known LuGre model. This model has been based on a modification to the LuGre model dynamic, which could be seen as a forward and backward displacement in the steady state solution of the dynamic LuGre model. The LuGre friction model is based on the average deflection of the bristles; implicitly, it is based on the relationship between stress and strain of the bristles under deformation. From the friction model point of view, this dynamic hysteresis model can capture the deformation behaviour between stress and strain beyond the elasticity region for the material (the bristles), a region where the relationship between stress and strain is no longer linear. So, our model can capture the friction phenomena of the original LuGre model and presents a new behaviour in the pre-sliding regime. Simulation results are presented to support our contribution.