Abstract
In this paper, we investigate the brake creep-groan problem by formulating the issues in terms of two dynamic sub-systems that are coupled at the friction interface, and thus, experience stick-slip motions. Thorough examination of the nature of discontinuous solutions using numerical methods is a useful prelude to analytical studies. We examine such dynamics through parametric studies for magnitude and rate of brake release, where the vehicle is initially at rest and under low constant drive torque. Dependency on the initial conditions and solution flow before reaching the orbit will thus be illustrated. Four types of motions (one steady sliding and three stick-slip) are found based on extensive studies. Our formulation and analysis should lead to a better understanding of the brake groan phenomenon and systems coupled by interfacial friction.
Similar content being viewed by others
References
Den Hartog, J.P.: Forced vibrations with combined Coulomb and viscous friction. Trans. ASME APM-53-9, 107–115 (1931)
Pratt, T.K., Williams, R.: Non-linear analysis of stick-slip motion. J. Sound Vib. 74(4), 531–542 (1981)
Shaw, S.W.: On dynamic response of a system with dry friction. J. Sound Vib. 108(2), 305–325 (1986)
Tan, X., Rogers, R.J.: Equivalent viscous damping models of Coulomb friction in multi-degree-of-freedom vibration systems. J. Sound Vib. 185(1), 33–50 (1995)
Martins, J.A.C., Oden, J.T., Simoes, F.M.F.: Recent advances in engineering science: a study of static and kinetic friction. Int. J. Eng. Science 28(1), 29–92 (1990)
Abdelhamid, M.K.: Creep-groan of disc brakes. SAE Technical Paper 951282, Proceedings of the 1995 Noise Vibration Conference, Traverse City, MI (1995)
Cao, Q., Ouyang, H., Mottershead, J.E., Brookfield, D.J., James, S.: Stick-slip vibration in a disc brake system. In: Proceedings of the Braking 2002 – From the Driver to the Road, Leeds, UK, pp. 101–109, (2002)
Brecht, J., Hoffrichter, W., Dohle, A.: Mechanisms of brake creep-groan. SAE Technical Paper 973026 (1997)
Jang, H., Lee, J.S., Flash, J.W.: Compositional effects of the brake friction material on creep-groan phenomenon. Wear 251, 1477–1483 (2001)
Krenz, R.: Vehicle response to tip-in/tip-out. SAE Technical Paper 850967, Proceedings of the Surface Vehicle Noise and Vibration Conference, Michigan (1985)
Crowther, A., Singh, R., Zhang, N., Chapman, C.: Impulsive response of an automatic transmission system with multiple clearances: Formulation, simulation and experiment. J. Sound Vib. (2006, in press)
Press, W.H, Teukolsky, S.A., Vetterling, W.T, Flannery, B.P.: Numerical Recipes in Fortran. Cambridge University Press, Cambridge, UK (1992)
Crowther, A.R., Singh, R.: Identification and quantification of stick-slip induced brake groan events using experimental and analytical investigations. Noise Control Eng. J. (2006, submitted for publication)
Bogacki, P., Shampine, L.F.: A 3(2) Pair of Runge–Kutta formulas. Appl. Math. Lett. 2, 1–9 (1989)
Galvanetto, U., Knudsen, C.: Event mappings in a stick-slip system. Nonlinear Dyn. 13, 99–115 (1997)
López, I., Busturia, J.M., Nijmeijer, H.: Energy dissipation of a friction damper. J. Sound Vib. 287, 539–561 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Crowther, A.R., Singh, R. Analytical investigation of stick-slip motions in coupled brake-driveline systems. Nonlinear Dyn 50, 463–481 (2007). https://doi.org/10.1007/s11071-006-9187-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-006-9187-9