A new model for the pre-sliding regime of friction

In this paper a new friction model for the pre-sliding regime of dry friction is proposed. Current highly accurate friction models that incorporate analysis of the pre-sliding friction regime are all dynamic models. In these models the pre-sliding regime seems to be underdeveloped. The main focus of the models lies upon the analysis of the sliding regime and therefore they are velocity dependent. In the pre-sliding regime frictional behaviour appears to be a function of displacement rather than velocity. Therefore, the proposed model is a static, position dependent model specifically formulated for the pre-sliding regime of friction. Furthermore, the model is formulated in such a way that it corresponds to the physical nature of friction currently assumed to be caused by adhesion. Therefore, the model is a modified Bristle model where clusters of molecular bonds formed due to adhesion are represented as pliable bristles with a maximum deflection and certain stiffness. For parameter estimation and validation of the model, experiments have been performed by means of a measurement setup. In the experiments, values have been obtained for the system’s initial stiffness and the maximum deflection of the bristles. The experiments show that the order of magnitude of the parameters found, correspond to the expected values. The validation experiments point out that the expected relation between the pre-sliding displacement and relaxation displacement could be confirmed. Furthermore, an expected proportional relation between the systems initial stiffness and normal load on the surface could not be invalidated. The effectiveness of the model was tested in simulations of the experimental data and by comparison to simulations made by other models. The results showed that the new model is more accurate and faster in modelling the pre-sliding regime of friction than the LuGre and Dahl model.Biocompatible designBMechEMechanical, Maritime and Materials Engineerin