Friction-induced parametric oscillations in automotive drivelines: experimental analysis and modelling

Friction-induced parametric oscillations in automotive drivelines: experimental analysis and modelling

Manuel Tentarelli, Stefano Cantelli, Silvio Sorrentino, Alessandro De Felice

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Abstract. Clutch judder is a friction-induced self-excited vibration occurring in automotive drivelines, an NVH issue studied for more than forty years and attributed by the scientific community to three possible causes: stick-slip, negative gradient of the coefficient of friction and geometric disturbances. However, these explanations fail to describe the kind of judder studied in this contribution, arising in presence of an oscillating component (dither) in the clutch actuation pressure. The analysis of experimental data collected on a dual-clutch transmission mounted on a specific test bench suggested the presence of a parametric resonance, generated by the dither. A specific 4 degrees of freedom model was then developed, able to predict with good accuracy the unstable parametric region in which judder occurs and useful in the design stage.

Keywords
Clutch Judder, Friction-Induced Vibration, Parametric Oscillation

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Manuel Tentarelli, Stefano Cantelli, Silvio Sorrentino, Alessandro De Felice, Friction-induced parametric oscillations in automotive drivelines: experimental analysis and modelling, Materials Research Proceedings, Vol. 26, pp 437-442, 2023

DOI: https://doi.org/10.21741/9781644902431-71

The article was published as article 71 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] D. Centea, H. Rahnejat, M.T. Menday, The influence of the interface coefficient of friction upon the propensity to judder in automotive clutches, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 213(5) (1999) 245-258. https://doi.org/10.1243/0954407991526847
[2] C. Bostwick, A. Szadkowski, Self-Excited Vibrations during Engagements of Dry Friction Clutches, SAE Technical Paper No. 982846 (1998). https://doi.org/10.4271/982846
[3] T. Kugimiya, N. Yoshimura, J. Mitsui, Tribology of Automatic Transmission Fluid, Tribology Letters 5(1) (1998) 49-56. https://doi.org/10.1023/A:1019156716891
[4] D. Centea, H. Rahnejat, M.T. Menday, Non-Linear Multi-Body Dynamic Analysis for the Study of Clutch Torsional Vibrations (Judder), Applied Mathematical Modelling 25(3) (2001) 177-192. https://doi.org/10.1016/S0307-904X(00)00051-2
[5] A. Crowther, N. Zhang, D. Liu, J. Jeyakumaran, Analysis and Simulation of Clutch Engagement Judder and Stick-Slip in Automotive Power Train System, Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering 218(12) (2004) 1427-1446. https://doi.org/10.1243/0954407042707731
[6] S. Iqbal, F. Al-Bender, A.P. Ompusunggu, B. Pluymers, W. Desmet, Modeling and Analysis of Wet Friction Clutch Engagement Dynamics, Mechanical Systems and Signal Processing (60) (2015) 420-436. https://doi.org/10.1016/j.ymssp.2014.12.024
[7] S. Mohire, R. Kapse, V. Tendulkar, Study of Clutch Judder Phenomenon in Manual Transmission Vehicle and Its Analysis Approach, SAE Technical Paper No. 2019-26-0215 (2019). https://doi.org/10.4271/2019-26-0215
[8] T. Gkinis, R. Rahmani, H. Rahnejat, Effect of clutch lining frictional characteristics on take-up judder, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multibody Dynamics 231(3) (2017) 493-503. https://doi.org/10.1177/1464419317708946
[9] R.P. Jarvis, B. Mills, Vibrations Induced by Dry Friction, Proceedings of the Institution of Mechanical Engineers 178(1) (1963) 847-857. https://doi.org/10.1177/0020348363178001124
[10] M. Pandey, R.H. Rand, A.T. Zehnder, Frequency Locking in a Forced Mathieu-van Der Pol-Duffing System, Nonlinear Dynamics 54(1-2) (2008) 3-12. https://doi.org/10.1007/s11071-007-9238-x
[11] K. Berglund, P. Marklund, H. Lundh, R. Larsson, Prediction of Driveline Vibrations Caused by Ageing the Limited Slip Coupling, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 230(12) (2016) 1687-1698. https://doi.org/10.1177/0954407015619505
[12] J.R. Barber, Thermoelastic instabilities in the sliding of conforming solids, Proceedings of the Royal Society A 312(1510) (1969) 381-394. https://doi.org/10.1098/rspa.1969.0165
[13] Y.B. Yi, J.R. Barber, P. Zagrodzki, Eigenvalue solution of thermoelastic instability problems using Fourier reduction, Proceedings of the Royal Society A 456(2003) (2000) 2799-2821. https://doi.org/10.1098/rspa.2000.0641
[14] T. Paygude, R. Joshi, Modeling and Analysis of Clutch Engagement Judder in Commercial Vehicle Powertrain Systems, SAE Technical Paper No. 2019-01-0784 (2019). https://doi.org/10.4271/2019-01-0784
[15] M. Tentarelli, S. Cantelli, A. De Felice, S. Sorrentino, Cold Judder in Tractor Drivelines: an Essential Model for Stability Analysis, in: Proceedings of the 27th IAVSD Symposium on Dynamics of Vehicles on Roads and Tracks, 2021 (in press). https://doi.org/10.1007/978-3-031-07305-2_69
[16] V.A. Yakubovich, V.M. Starzhinski, Linear Differential Equations with Periodic Coefficients, John Wiley and Sons, New York, 1975.
[17] A. De Felice, S. Sorrentino, Stability Analysis of Parametrically Excited Gyroscopic Systems, in: Proceedings of XXIV Conference of the Italian Association of Theoretical and Applied Mechanics (AIMETA XXIV), 2019, pp. 1316-1331. https://doi.org/10.1007/978-3-030-41057-5_106
[18] A. De Felice, S. Sorrentino, Damping and Gyroscopic Effects on the Stability of Parametrically Excited Continuous Rotor Systems, Nonlinear Dynamics 103(4) (2021) 3529-3555. https://doi.org/10.1007/s11071-020-06106-3
[19] A. De Felice, S. Sorrentino, Effects of anisotropic supports on the stability of parametrically excited slender rotors, Nonlinear Dynamics, online 28 May 2022 (DOI 10.1007/s11071-022-07487-3). https://doi.org/10.1007/s11071-022-07487-3