Abstract
This paper is concerned with the squeal noise of a wiper/windscreen contact. It is shown that squeal noise stems from friction-induced self-excited vibrations in the context of Stribeck’s law for friction coefficient. The study is specifically focussed on the instability range of velocities and not on the amplitude of limit cycles. The studied dynamic system consists of a single degree-of-freedom mass-spring-damper oscillator submitted to a velocity-dependent frictional force which follows the Stribeck law. The local stability is analyzed by the first Lyapunov method and results in a stability criterion. Experiments have been performed on a glass/elastomer contact lubricated with water. The tribometer ‘LUG’ provides measurements of the vibrational velocity and friction force versus sliding speed. It is found that the instability appears during the transition between boundary and elastohydrodynamic regimes where the negative gradient of the friction versus velocity curve is steep. The apparition and vanishing of instability are correctly predicted by the steady-state stability criterion.
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Koenen, A., Sanon, A.: Tribological and vibroacoustic behavior of a contact between rubber and glass (application to wiper blade). Tribol. Int. 40, 1484–1491 (2007)
Chevennement-Roux, C., Dreher, T., Alliot, P., Aubry, E., Laine, J.P., Jezequel, L.: Flexible wiper system dynamic instabilities: modelling and experimental validation. Exp. Mech. 47, 201–210 (2007)
Fujii, Y.: Method for measuring transient friction coefficients for rubber wiper blades on glass surface. Tribol. Int. 41, 17–23 (2008)
Bodai, G., Goda, T.J.: Friction force measurement at windscreen wiper/glass contact. Tribol. Lett. 45, 515–523 (2012)
Akay, A.: Acoustics of friction. J. Acoust. Soc. Am. 111, 1525–1548 (2002)
Butlin, T., Woodhouse, J.: A systematic experimental study of squeal initiation. J. Sound Vibrat. 330, 5077–5095 (2011)
Vola, D., Raous, M., Martins, J.A.C.: Friction and instability of steady sliding: squeal of rubber/glass contact. Int. J. Numer. Methods Eng. 46, 1699–1720 (1999)
Nayfeh, A.H., Mook, D.T.: Nonlinear oscillations. Wiley Interscience. 704 p. (1979).
Ibrahim, R.A.: Friction-induced vibration, chatter, squeal, and chaos. Appl. Mech. Rev. 47, 209–253 (1994)
Denny, M.: Stick-slip motion: an important example of self-excited oscillation. Eur. J. Phys. 25, 311–322 (2004)
Den Hartog, J.P.: Forced vibrations with combined coulomb and viscous friction. Trans. ASME 53, 107–115 (1931)
Nakano, K.: Two dimensionless parameters controlling the occurence of stick-slip motion in a 1-DOF system with coulomb friction. Tribol. Lett. 24, 91–98 (2006)
Scheibert, J., Dysthe, D.K.: Role of friction-induced torque in stick-slip motion. Europhys. Lett. 92, 54001 (2010)
Ruina, A.L.: Instability and state variable friction laws. J. Geophys. Res. 88, 359–370 (1983)
Baumberger, T., Berthoud, P., Caroli, C.: Physical analysis of the state-and rate-dependent friction law. II. Dynamic friction. Phys. Rev. B 60, 3928–3939 (1999)
Dieterich, J.H.: Modeling of rock friction.1. Experimental results and constitutive equations. J. Geophys. Res. 84, 2161–2168 (1979)
Rice, J.R., Ruina, A.L.: Stability of steady frictional slipping. J. Appl. Mech., Trans. of ASME. 50, 343–349 (1983)
Baumberger, T., Caroli, C., Perrin, B., Ronsin, O.: Non-Linear analysis of the stick-slip bifurcation in the creep-controlled regime of dry friction. Phys. Rev. E 51, 4005–4010 (1995)
Tromborg, J., Scheibert, J., Amundsen, D.S., Thogersen, K., Malthe-Sorenssen, A.: Transition from static to kinetic friction: insights from a 2D model. Phys. Rev. Lett. 107, 074301 (2011)
Sugita, M., Yabuno, H., Yanagisawa, D.: Bifurcation phenomena of the reversal behavior of an automobile wiper blade. Nonlinear Dyn. 69, 1111–1123 (2012)
Goto, S., Takahashi, H., Oya, T.: Clarification of the mechanism of wiper blade rubber squeal noise generation. JSAE Rev 22, 57–62 (2001)
Deleau, F., Mazuyer, D., Koenen, A.: Sliding friction at elastomer/glass contact: influence of the wetting conditions and instability analysis. Tribol. Int. 42, 149–159 (2009)
Tu, C.F., Fort, T.: A study of a fiber capstan friction. Part 1. Stribeck curves, part 2. Stick-slip phenomena. Tribol. Int. 37, 701–719 (2004)
Heslot, F., Baumberger, T., Perrin, B., Caroli, B., Caroli, C.: Creep, stick-slip, and dry-friction dynamics: experiments and a heuristic model. Phys. Rev. E 49, 4973–4990 (1994)
Dieterich, J.H.: Time-dependent friction and the mechanics of stick-slip. Pure Appl. Geophys. 116, 790–806 (1978)
Gu, J.-C., Rice, J., Ruina, A.L., Tse, S.T.: Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction. J. Mech. Solids 32, 167–196 (1984)
Smith, J.H., Woodhouse, J.: The tribology of rosin. J. Mech. Phys. Solids. 48, 1633–1681 (2000)
Canudasde Vit, C., Olsson, H., Astrom, K.J., Lischinsky, P.: A new model for control of systems with friction. IEEE Trans. Automat. Contr. 40, 419–425 (1995)
Bongaerts, J.H.H., Fourtouni, K., Stokes, J.R.: Soft-tribology: lubrication in a compliant PDMS–PDMS contact. Tribol. Int. 40, 1531–1542 (2007)
Papenhuyzen, P.J.: Wrijvingsproeven in verband met het slippen van autobadden. De Ingenieur V75 53, 75–81 (1938)
Polycarpou, A.A., Soom, A.: Application of a two-dimensional model of continuous sliding friction to stick-slip. Wear 181–183, 32–41 (1995)
Galda, L., Pawlus, P., Sep, J.: Dimples shape and distribution effect on characteristics of Stribeck curve. Tribol. Int. 42, 1505–1512 (2009)
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This work was funded by French government support through the RIBEG project (FUI 8 program).
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Le Rouzic, J., Le Bot, A., Perret-Liaudet, J. et al. Friction-Induced Vibration by Stribeck’s Law: Application to Wiper Blade Squeal Noise. Tribol Lett 49, 563–572 (2013). https://doi.org/10.1007/s11249-012-0100-z
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DOI: https://doi.org/10.1007/s11249-012-0100-z