Abstract
This paper considers the consequences of some assumptions concerning the constitutive relations of friction on the non-linear dynamic behaviour of a simple tribometer device. The identification of the constitutive relations for stationary and non-stationary friction is based on the characteristic features of dynamic behaviour such as friction induced vibrations including stick-slip. Stability and bifurcations are investigated, mostly with numerical methods. The tribometer device is represented by one-and two-degree-of-freedom models with lumped parameters. The main focus of the study is the law of dry friction of elastomers sliding on smooth surfaces of hard solids, for which friction depends markedly on the speed of sliding. Based on results for stationary sliding friction, the first friction model considered is one where friction depends only on the instantaneous speed of sliding. A more complex law of friction, considered next, takes into account the influence of the history of motion through an internal state variable. Finally, a third friction model is included that displays the typical, more or less random dependence of friction on the distance slid.
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© 2001 Springer Science+Business Media Dordrecht
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Savkoor, A.R., Meijaard, J.P. (2001). Application of Bifurcation Theory to the Identification of the Constitutive Relations for Sliding Friction. In: Narayanan, S., Iyengar, R.N. (eds) IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics. Solid Mechanics and its Applications, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0886-0_19
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DOI: https://doi.org/10.1007/978-94-010-0886-0_19
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