Non-reversible friction modeling and identification

In this paper, based on experimental results, a new non-reversible friction model is proposed. The model has the capability to include both hysteresis in the presliding regime and velocity hysteresis (frictional memory effect or frictional lag) in the sliding regime. In this model, a differential function, which varies between −1 and +1 and has the characters of the Bouc–Wen model, is used to take the place of a sign function. This solution smoothes the transition from presliding to sliding and the hysteresis in the presliding regime can be described. In the sliding regime, this model has the form of a combination of a general velocity-dependent model with another acceleration-dependent part. This form allows a good description of velocity hysteresis in the sliding regime. The parameter identification procedure for this new model is also presented in this paper. The simulation results show the practicability and accuracy of the model in describing friction force both in the presliding and the sliding regimes.

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