Abstract
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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Gorczyca-Cole J.L., Sherwood J.A. and Chen J. (2007). A friction model for thermostamping commingled glass-polypropylene woven fabrics. Composites A 38: 393–406
Choi J.J., Han S.I. and Kim J.S. (2006). Development of a novel dynamic friction model and precise tracking control using adaptive back-stepping sliding model controller. Mechatronics 16: 97–104
Livanos G.A. and Kyrtatos N.P. (2007). Friction model of a marine diesel engine piston assembly. Tribol. Int. 40: 1441–1453
Armstrong-Hélouvry B., Dupont P. and Canudas de Wit C. (1994). A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30(7): 1083–1138
Björklund S. (1997). A random model for micro-slip between nominally flat surfaces. ASME J. Tribol. 119: 726–732
Sampson J.B., Morgan F., Reed D.W. and Muskat M. (1943). Friction behavior during the slip portion of the stick-slip process. J. Appl. Phys. 14(12): 689–700
Rabinowicz E. (1958). The intrinsic variables affection the stick-slip process. Proc. Phys. Soc. Lond. 471: 668–675
Dahl, P.R.: A solid friction model. The Aerospace Corporation, EI Segundo, CA, Tech. Rep. TOR-158, pp. 3107–3118
Futami S., Furutani A. and Yoshida S. (1990). Nanometer positioning and its micro-dynamics. Nanotechnology 1(1): 31–37
Iwan, W.D., Caughey, T.K.: The Dynamic Response of Bilinear Hysteretic Systems. PhD Thesis, California Institute of Technology, California (1961)
Bouc, R.: Forced vibration of mechanical system with hysteresis. In: Proceedings of the 4th Conference on Nonlinear Oscillations. Prague, P. 315 (1967)
Wen Y.K. (1976). Method of random vibration of hysteretic systems. ASCE J. Eng. Mech. Div. 102: 249–263
Rabinowicz E (1958). The intrinsic variables affecting the stick-slip process. Proc. Phys. Soc. Lond. 471: 668–675
Bell R. and Burdekin M. (1969–1970). A study of the stick-slip motion of machine tool feed drives. Proc. Inst. Mech. Eng. 184(1): 543–557
Hess D.P. and Soom A. (1990). Friction at lubricated line contact operation at oscillating sliding velocities. ASME J.Tribol. 112: 147–152
Den Hartog J.P. (1931). Forced vibration with Combined Coulomb and Viscous Friction. Trans. ASME APM 53(9): 107–115
Popp K. and Stelter P. (1990). Non-linear oscillations of structures induced by dry friction. In: Schiehlen, W. (eds) Non-Linear Dynamics in Engineering Systems, pp. Springer, New York
Powell J. and Wiercigroch M. (1992). Influence of nonreversible Coulomb characteristics on the response of a harmonically excited linear oscillator. Mach. Vib. I(2): 94–104
Wiercigroch M. (1993). Comments on the study of a harmonically excited linear oscillator with a Coulomb damper. J. Sound Vib. 167(3): 560–563
Stefañski A., Wojewoda J., Wiercigroch M. and Kapitaniak T. (2003). Chaos caused by non-reversible dry friction. Chaos Solitons Fractals 16: 661–664
Stefañski A., Wojewoda J. and Furmanik K. (2001). Experimental and numerical analysis of self-excited friction oscillator. Chaos Solitons Fractals 12: 1691–1704
Wojewoda J., Kapitaniak T., Barron R. and Brindley J. (1993). Complex behavior of a quasiperiodically forced system with dry friction. Chaos Solitons Fractals 3(1): 35–46
Canudasde Wit C., Olsson H., Astrom K.J. and Lischinsky P. (1995). A new model for control of systems with friction. IEEE Trans. Automat. Contr. 40(3): 419–425
Armstrong-Hélouvry B., Dupont P. and Canudasde Wit C. (1994). A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30(7): 1083–1138
Stefañski A., Wojewoda J., Wiercigroch M. and Kapitaniak T. (2006). Regular and chaotic oscillations of friction force. Proc. IMechE C J. Mech. Eng. Sci. 220: 273–284
Sofonea M., Rodríguez-Arós A. and Viaño J.M. (2005). A class of integro-differential variational inequalities with applications to viscoelastic contact. Math. Comput. Model. 41: 1355–1369
Ikhouane F. and Rodellar J. (2005). On the hysteretic Bouc–Wen model, Part I: Forced limit cycle characterization. Nonlinear Dyn. 42: 63–78
Al-Bender F., Lampaert V. and Swevers J. (2004). Modeling of dry sliding friction dynamics: From heuristic models to physically motivated models and back. Chaos 14(2): 446–460
Lampaert V., Al-vender F. and Swevers J. (2004). Tribol.Lett. 16: 95
Kappagantu, R., Feeny, B.: Impact and friction of solids, structures and intelligent machines. In: Guran A. (ed.) Series on Stability, Vibration and Control of Systems: Series B, Vol. 14. World Scientific, Singapore, pp. 167–172 (1998)
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Guo, K., Zhang, X., Li, H. et al. Non-reversible friction modeling and identification. Arch Appl Mech 78, 795–809 (2008). https://doi.org/10.1007/s00419-007-0200-7
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DOI: https://doi.org/10.1007/s00419-007-0200-7